$ 240,437.74 - the balance of her fund on her 17th birthday.
His daughter turned 10 years old. Her reward was 5000.
subsequently, she began getting monthly interest compounded at a rate of 15%
She would thus have 5000 (the deposit from her birthday) + 15% = 5750 in her account at the end of the first month.
The amount would have been 5750 + 15% = 6612.50 at the conclusion of the second month.
She would have 6612.50 + 15% + 5000 (quarterly deposit) at the conclusion of the third month, which equals 12,604.38.
When she becomes 17 years old, if you keep doing these calculations, she will have a fun
$1,832,087,983.19
Only 145,000, including the 5,000 deposit made on her father's 17th birthday, would have been made by her father.
I would be grateful if someone could let me know where I can earn 15% compounded monthly.
Know more about compound interest
https://brainly.com/question/24274034
#SPJ4
If DE=8 and EF=3, what is DF?
If DE=8 and EF=3 then the length of DF is 8.54 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
DEF is a given triangle.
DE is the opposite side of the triangle.
EF is the adjacent side of the triangle.
DF is hypotenuse.
By using pythagoras theorem we find the DF.
DE²+EF²=DF²
8²+3²=DF²
64+9=DF²
73=DF²
Take square root on both sides
DF=√73=8.54
Hence, the length of DF is 8.54 units.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ1
How do you solve complex equations?.
To solve complex numbers using steps:
First, multiply the complex numbers in the same way that you would a polynomial.Make the expression simpler.Type the complete response using standard format.A complicated equation is one that requires the use of complex numbers to solve. A number with both a real element and an imaginary part is referred to as a complex number. It is written as follows: A and B in the previous equation both denote numerical values. A complex number is, as an illustration, <4+3i>.
In order to accomplish vaguely defined goals that cannot be attained through normal behaviors, complex issue solving is a set of self-regulated psychological processes and activities. A wide range of tactics and inventive knowledge combinations are required.
Learn more about complex number Visit: brainly.com/question/5564133
#SPJ4
Lines ENF are parallel the M<9 and m<5= 55
The angle measures that are correct include:
m2 = 125°
m8 = 55°
m14 = 100°
m16 = 80°
How to illustrate the angle?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Here, the measurement of the angles are as follows;
m3 = 55°
m8 = 55°
m12 = 100°
m14 = 100°
m16 = 80°
m9 = 80°
m12 = 80° (opposite angles)
m10 = m11 = 100° ( 180° - 100°)
m13 = m16 = 80°
m14 = m15 = 100°
m14 = 100°
m16 = 80°
m5 = m8 = 55°
m2 = m3 = 125°
m2 = 180° - 55° = 125°
Learn more about angles on;
https://brainly.com/question/25716982
#SPJ1
Lines e and f are parallel. The m9 = 80° and m5 = 55°. Which angle measures are correct? Check all that apply. m2 = 125° m3 = 55° m8 = 55° m12 = 100° m14 = 100° m16 = 80°
The table below shows the coordinates of a figure that was transformed. Which is a correct description of the transformation? Question 4 options: Rotation 180° clockwise B. Reflection over the x-axis. Translation 5 units left and 2 units down. Translation 10 units left and 4 units down.
HELP PLEASEEEE
A correct description of the transformation include the following: D. translation 10 units left and 4 units down.
What is a translation?In Mathematics, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image or function.
On the other hand, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.
By translating the pre-image of triangle ABC vertically down by 4 units and horizontally left by 10 unit, the coordinates of the image of triangle A'B'C' include the following:
(x, y) → (x - 10, y - 4)
Coordinate A = (5, 2) → Coordinate A' (5 - 10, 2 - 4) = (-5, -2)
Coordinate B = (6, 1) → Coordinate B' = (6 - 10, 1 - 4) = (-4, -3)
Coordinate C = (4, 5) → Coordinate C' = (4 - 10, 5 - 4) = (-6, 1)
Read more on transformation here: https://brainly.com/question/18892892
#SPJ1
Complete Question:
The table below shows the coordinates of a figure that was transformed.
Pre-Image Image
A(5,2) A'(-5,-2)
B(6,1) B'(-4,-3)
C(4,5) C'(-6, 1)
Which is a correct description of the transformation?
Question 4 options: Rotation 180° clockwise B. Reflection over the x-axis. Translation 5 units left and 2 units down. Translation 10 units left and 4 units down.
Group of friend decided to equally hare a package of trading card if there were 48 card in the package and each peron receive 12 how many friend were in the group
There are 4 friends in the group.
Poker: In poker, the number of each card in the deck is important. A standard deck of poker cards has 52 cards, with 13 cards in each of the four suits (hearts, diamonds, clubs, spades). Each suit has cards numbered 2-10, plus a jack, queen, king and ace. This allows for the calculation of odds and probability in the game.
If each person received 12 trading cards and 48 cards in the package, you can use division to find how many people are in the group.
We know that:
48 trading cards / 12 trading cards per person = 4 people
Therefore, there are 4 friends in the group.
To learn more about probability,
Visit; brainly.com/question/30034780
#SPJ4
You can use division to determine the number of people in the group if each person got 12 trading cards and there were 48 total cards in the package.
12 trading cards per individual times 48 trading cards equals four people.
As a result, the company consists of 4 friends.
Why are 30 60 90 and 45 45 90 triangles called special right triangles?.
30-60-90 and 45-45-90 triangles are called special right triangles because they have specific ratios of their side lengths.
A 30-60-90 triangle is a special right triangle in which the angles measure 30 degrees, 60 degrees and 90 degrees, and the side length ratio is 1: √3: 2.
where the hypotenuse is twice the length . 45-45-90 triangle is a special right triangle in which the angles measure 45 degrees, 45 degrees and 90 degrees, and the side length ratio is 1:1: √2, where the hypotenuse is the square root of 2 times the length of each leg.
These ratios are unique and special among right triangles, which makes these triangles special. They are also easy to remember and use in various mathematical calculations. Because of this property, they are widely used in trigonometry and geometry and are very useful in solving problems related to the right triangles in general.
Additionally, these triangles have certain symmetry and specific relationships between the legs and hypotenuse, which makes it easy to calculate unknown sides or angles in a triangle. This makes them very useful in real-world applications such as construction, engineering, and design.
To learn more about the length ratio question:
https://brainly.com/question/29567506
#SPJ4
Write 28+24 as a product of two factors using the GCF and the distributive property.
Answer:
28+24 can be written as a product of two factors using the GCF and the distributive property as: (12 x 2) + (12 x 2) = 12 x (2+2) = 12 x 4 = 48
BONUS: Find the value of x. Show your work ACDE - AFGH D 7x 8x - 1 E F G 9x 10x + 1 H
The value of x is 1.
Comparing similar triangles.On comparison, when two or more triangles have some common relations with respect to their sides or measure of internal angles, they are said to be similar.
To find the value of x, compare the corresponding sides of the two triangles.
To have;
7x/ 9x = (8x - 1)/ (10x + 1)
9x (8x - 1) = 7x(10x + 1)
72x^2 - 9x = 70x^2 + 7x
collect like terms
72x^2 - 70x^2 - 9x + 7x = 0
2x^2 -2x = 0
2x(x - 1) = 0
2x = 0 or x - 1 = 0
x = 0. or x = 1
Therefore,
x = 1
Learn more about similar triangles at https://brainly.com/question/6844025
#SPJ1
Answer:
Step-by-step explanation:
ur mom ur mommy
What percent of the men surveyed shop online? Round your answer to the nearest whole number percent.
27.5% percent of the men surveyed shop online.
How do I calculate a percentage?When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage.
Calculating a percentage involves dividing an item by its sum and multiplying the result by 100. (Value/Total Value)100% is the formula used to calculate percentages.
The simplest way to use percentages is to compare two numbers, with the second number being rebased to 100. Consider that we are curious about the proportion of employed women who are female.
A % is a number or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed.
Store = 37 women
Total women: 37/49 = 0.75%
Men: shop equals 52
Total men: 11 /40 = 27.5%
To learn more about percentage refer to:
brainly.com/question/25550158
#SPJ1
Aume that one unit i old on April 27 for "$231. " Determine the gro profit for April and ending inventory on April 30 uing the (a) firt-in, firt-out (FIFO); (b) lat-in, firt-out (LIFO); and (c) weighted average cot method
(a) FIFO: The oldest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be zero, as all units were sold.
(b) LIFO: The newest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be one unit, as one unit was not sold.
(c) Weighted Average Cost: The cost of the unit sold would be the average cost of all units purchased, which is $231. Therefore, the gross profit for April would be the difference between the selling price and the average cost of all units, which is not provided in the information given. The ending inventory on April 30 would be zero, as all units were sold.
To learn more about Gross Profit
Visit; brainly.com/question/18567528
#SPJ4
The newest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be one unit, as one unit was not sold.
What is the multiplication rule example?.
Examples of the rules followed while applying multiplication are :
1. 0 × 9 = 0
2. 1 × 7 = 7
3. 12 × 10 = 120 , 12 × 100 = 1200.
4. 11 ×12 = 12 ×11
As given in the question,
Examples of the multiplication rules are :
1. Multiply any number by zero result is zero.
Example : 0 × 9 = 0
2. Multiply One to any real number result is the number itself.
Example : 1 × 7 = 7
3. Multiply any real numbers with 10 , 100 you have just add number of zero present.
Example : 12× 10 =120
12× 100 =1200
4.Order of the multiplication does not affect the result.
Example : 11 × 12 = 12 × 11
Therefore, the examples of multiplication rule are :
1. 0 × 9 = 0
2. 1 × 7 = 7
3. 12 × 10 = 120 , 12 × 100 = 1200.
4. 11 ×12 = 12 ×11
Learn more about multiplication here
brainly.com/question/5992872
#SPJ4
PLEASE PLEASE PLEASE HELP ~ URGENT WILL MARK BRAINLIEST
Can someone please help me find my y - intercept for this scatter plot?
THANM YOU SO MUCH!!
Answer:
11,000 or to be more specific $11,000
Step-by-step explanation:
Well there is no equation provided so one has to go by the graph
The y-intercept is where the line intersects the y-axis
Looking at the graph we see this is at y ≅ 11,000
Of course it all depends on your best fit line that you have drawn though it looks OK
Basically the y-intercept for this graph is $11,000 which is the cost of the Prius in 2004
What is the probability that a randomly chosen college student exercises in the morning or afternoon? 0. 37 0. 39 0. 62 0. 76.
The probability that a randomly chosen college student exercises in the morning or afternoon is 0.76
We have given that the M be the event that the student exercises in the morning and A be the event that the student exercises in the afternoon.
To find : The probability that a randomly chosen college student exercises in the morning or afternoon
P(M) = 0.25+0.37 = 0.62
P(A) = 0.14+0.37 = 0.51
P(M and A) = 0.37
Now,
P(M or A) = P(M) + P(A) - P(M and A)
= 0.62 + 0.51 - 0.37
= 0.76
Hence, Option last 0.76 is the correct choice.
To learn more about the probability click here:
brainly.com/question/30034780
#SPJ4
How do you find the length of the third side of an obtuse triangle?.
The law of Sines is used to find the length of the third side of an obtuse triangle. The value of a i.e., third side length is equals to 6.065 units.
In geometry, obtuse triangles are defined as the triangles with an obtuse angle, which is an angle measuring greater than 90°. According to the law of sines of triangles if a triangle has sides a, b, and c, and angles A, B, and C, where side a has opposite angle A, side b has opposite angle B, and c has opposite angle C, then
sinA/a = sinB/b = sinC/c
The sum of all interior angles of a triangle is 180°. If we have two of the sides of an obtuse triangle, and two of the angles of an obtuse triangle, then we can use the law of sines to determine the third side of the obtuse triangle. Let's consider an obtuse triangle ABC present in above figure. We want to find the length of side a. We have, AB = 8 units , AC = 5 units, BC = a units.
∠A = 32° , ∠B =40° , ∠C = obtuse angle
=>∠C = 180°-∠A - ∠B = 180°- 32°- 40° = 108°
From above formula, sinA/a = sinB/b= sinC/c
=> sin 32°/5 = sin 40°/a = sin 108°/8
=> a = 5 sin 40°/ sin 32°
=> a = 5×0.6428/0.5299
=> a = 6.06529533874
=> a ≈ 6.065
Therefore, the length of third side is 6.065 units.
To learn more about Obtuse triangle , refer:
https://brainly.com/question/3250447
#SPJ4
Is 64 a root number?.
Yes, the square root of 64 is a rational number.
and Square root of 64 is 8
Now, According to the question:
Square numbers are those numbers that are produced by multiplying an integer to itself. If n is an integer, then n2 is the square of n.
What are the examples of square numbers?
The examples for square numbers are:
[tex]6^2[/tex] = 36
[tex]10^2[/tex] = 10 x 10 = 100
[tex]15^2[/tex] = 15 x 15 = 225
[tex]12^2[/tex] = 12 x 12 = 144
Hence, Yes, the square root of 64 is a rational number. As we know that √64 = 8, a rational number.
Learn more about Square Root at:
https://brainly.com/question/3120622
#SPJ4
Work out the value of 3/3 × 10
Give your answer as a whole number or as a
fraction in its simplest form.
Answer:
10
Step-by-step explanation:
Since 3/3 = 1, then:
3/3 × 10 = 1 × 10 = 10
What is a solution set in math?.
The set of values that satisfy a given set of equations or inequalities is known as a solution set in mathematics.
The solution set, for instance, is the subset of a set of polynomials over a ring on which all of the polynomials formal disappear (evaluate to 0).
How is a solution set obtained?Plug in each value from the replacement set and evaluate both sides of the equation to determine the solution set from the replacement set. The value is a solution to the equation if the two sides are equal. One example: From the replacement set, choose the set with the solution 11 - 5w = 1.
What is a set of kids' solutions?The set of values that satisfy a given inequality is called a solution set. This indicates that the inequality will be satisfied by every value in the solution set and by no other value. Example: 2x + 3 7, where x is a natural number, is the solution.
To learn more about solution set here:
https://brainly.com/question/4192789
#SPJ4
In a packet of 40 skittles, 35% are red. How many skittles are not red? Explain
Answer:
26 skittles are not red
Explenation:
35%of 40 is 14 because 40*0.35=14 red skittles
total number of skittles (40)-red skittles (14)=26
Answer:
26 skittles are not red
Step-by-step explanation:
Simplify the percentage.
35% = 35/100 = 0.35
Multiply 40 by 0.35.
40 x 0.35 = 14 (This is how many skittles are red.)
Now subtract the red skittles from the packet.
40 - 14 = 26
Hence, there are 26 skittles that are not red, and 14 skittles that are red.
Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Show your work.
Answer: To find the coordinates of P, we will use the part-to-whole ratio of 1 to 5. This means that the distance from A to P is 1/6 of the distance from A to B.
We can find the distance from A to B by using the distance formula:
d = √((x2-x1)² + (y2-y1)²)
where (x1, y1) and (x2, y2) are the coordinates of A and B, respectively.
So, the distance from A to B is:
d = √((1-(-9))² + (8-3)²) = √((10)² + (5)²) = √(100 + 25) = √125 = 5√5
Since P partitions AB with the ratio 1 to 5, the distance from A to P is 1/6 of the distance from A to B, which is (1/6) * (5√5) = √5
To find the coordinates of P, we will use this distance and the direction from A to B to find the coordinates of P.
The direction from A to B is:
(1 - (-9))/(8 - 3) = 10/5 = 2
So, the slope of line AB is 2. Therefore, the slope of line AP is -1/2 (perpendicular to AB)
We know that A = (-9, 3) and the slope of line AP = -1/2. We can use this to find the equation of the line AP:
y - 3 = -1/2(x + 9)
y = -1/2x - 3/2 + 3
y = -1/2x + 3/2
Since the point A is on the line, we can substitute the coordinates of A into the equation:
3 = -1/2*(-9) + 3/2
3 = 4.5
This is not true, so we can say that the equation is wrong.
To find the equation of line AP, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
So, the equation of line AP is:
y - 3 = -1/2(x + 9)
Now we know that the point P is on the line AP and the distance from A to P is √5.
We can use this information to find the coordinates of P by moving along the line AP by √5 units in the direction of P.
To move in the direction of P, we need to move parallel to the line, which means we need to keep the slope of the line same.
So we can move
Step-by-step explanation:
What is the solution to the system of equations?.
A collection of values for the variable that simultaneously satisfy each equation in a system of equations is referred to as the solution.
Typically, a system of linear equations consists of a pair of two-variable linear equations.
1. Examine substitution and elimination as two strategies for algebraically resolving systems of linear equations.
2. Use graphical representations of systems of linear equations to better grasp when these systems have a single solution, none at all, or an unlimited number of solutions.
3. Learn about algebraic techniques for counting the number of solutions to systems with two linear equations.
To learn more about substitution and elimination method link is here
brainly.com/question/26326982
#SPJ4
Please help. I will reward brainiest.
Answer:
C
Step-by-step explanation:
It can't be a or d because 15.75x needs to be greater than 145, so in c the how many he sells would represent the x value.
What is the equation for a line that passes through the points (-5, 3) and (3, -3)
The equation for a line that passes through the points (-5, 3) and (3, -3) is y=-3/4(x+1)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Slope of line that passes through the points (-5, 3) and (3, -3)
m=-3-3/3+5
m=-6/8=-3/4
Now let us find y intercept.
3=-3/4(-5)+b
3=15/4+b
b=3-15/4
b=-3/4
So the slope intercept form is y=-3/4x-3/4
Hence, the equation for a line that passes through the points (-5, 3) and (3, -3) is y=-3/4(x+1)
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ1
evaluate the trigonometric function using its period as an aid
Functions y = A sin(Bx + C) and y = A cos(Bx + C) have periods of 2 /|B| radians each. A function's frequency is equal to the reciprocal of its period.
What is a period in trigonometric functions?The horizontal distance covered prior to the values repeating is the period of a trigonometric function. The period is for the two graphs, and. You may recall that these numbers are the same after the unit circle has made one full rotation.Finding the value of f(x) =... or y =... that corresponds to a given value of x is the definition of function evaluation. Simply swap out all instances of x with the value that has been allocated to x to do this.You must divide pi by the absolute value of your B if either the tangent or cotangent of your trig function is present. Since our sine function, f(x) = 3 sin(4x + 2), has a period of 2 pi divided by 4, our B value, it has a sine function.To learn more about equal refer to:
https://brainly.com/question/25699025
#SPJ1
What are the 2 types of solution *?.
In mathematics, particularly in algebra, there are mainly two types of solutions for an equation: real and complex solutions.
Real solutions: These are type of solutions that are real numbers, which can be found by solving the equation algebraically. For example, if the equation is x² + 2x - 3 = 0, the real solutions are x = -1 and x = 3.
Complex solutions: These are solutions that are complex numbers, which can be found by solving the equation algebraically. Complex numbers are numbers that have both real and imaginary parts, represented by a + bi, where a and b are real numbers and i is the imaginary unit (i² = -1). For example, if the equation is x² + 1 = 0, the complex solutions are x = i and x = -i.
To know more on solutions
https://brainly.com/question/8307840
#SPJ4
What do you call a 45 45 90 triangle?.
It is called an isosceles right angle triangle.
In a right angle triangle there is one right angle present.
In an isosceles triangle two sides are equal to each other.
But in isosceles right angle triangle both the conditions got fullfield i.e., there is one right angle with other two sides are equal to each other.
Properties of isosceles right angle triangle:
1. The two sides are equal to each other i.e. the base of the triangle is equal to the perpendicular of the triangle.
2. There is only one right angle and other two angles must be equal to each other.
3. The other two angles in isosceles right angle triangle must be 45 degree each.
To Know more about isosceles right angle triangle visit:
brainly.com/question/29789105
#SPJ4
A gas station employee monitored the gas sales one day. The data showed that 80% of customers purchased regular gas. Of the customers who purchased regular gas, 10% paid in cash, whereas 40% of the customers who did not purchase regular gas paid in cash. What percentage of the customers paid in cash? 48% 20% 16% 50%
Answer: 16%
Step-by-step explanation: If 80% of customers purchased regular gas and 10% of those who purchased regular gas paid in cash, then 8% paid in cash. If 100-80=20% of customers purchased something other than regular gas and 40% of those who did paid in cash, than another 8% paid in cash. 8+8=16, so (c 16 is the answer.
THE FIRST PERSON TO GET THIS ANSWER RIGHT (NO NEED TO EXPLAIN) GET 10 POINTS AND BRAINLIEST
Answer:
No
Step-by-step explanation:
Notice when x increases by 1, y increases by $6?
When x goes from 1.5 to 2.5 gigabytes ( increase by 1 ), y increases from $65 to $71. That's a $6 increase for x increasing by 1 gigabyte.
In addition, when x goes from 2.5 to 3.5 gigabytes ( increase by 1), y increases from $71 to $77. This is also a $6 increase for x increasing by 1 gigabyte.
Yet...
65 / 1.5 doesn't equal 71 / 2.5
65 / 1.5 = 43 1/3
71 / 2.5 = 28.4
43 1/3 [tex]\neq[/tex] 28.4, so there is no proportion
Answer: No.
Step-by-step explanation:
In a proportion relationship, y = kx. In other words, x times the constant of proportionality will equal y. Without a given constant of proportionality, we can use k =[tex]\frac{y}{x}[/tex]. In all instances, y divided by x should equal the same value (k). We will see if this stands true for all the given values.
65 / 1.5 = 43.33333
71 / 2.5 = 28.4
74 / 3 = 24.66667
77 / 3.5 = 22
No. The x and y values do not have a proportional relationship.
The sides of a triangle are 56, 55, and 43. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
The triangle with sides 56 , 55 and 43 is acute triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ABC
Now , the base of the triangle is BC
The measure of BC = 43
The height of the triangle is AB
The measure of AB = 55
The hypotenuse of the triangle is AC
The measure of AC = 56
Now , if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
On simplifying the equation , we get
BC² + AB² > AC²
Substituting the values in the equation , we get
43² + 55² > 56²
1849 + 3025 > 3136
4874 > 3136
Hence , it is an acute triangle
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ1
What is Y form called?.
Y form is the slope-intercept form of a straight line.
Here, x and y are the coordinates of the points, m is the gradient, and b is the intercept of the y-axis.
y = mx + b is the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m is the slope of the line and b is the intercept.
The value of b is equal to y when x = 0, and m shows how steep the line is. The slope of the line is also called the gradient.
To find the equation of the straight line, we use the slope-intercept form, y = mx + b, where m is the slope of the line, b is the y-intercept of the line.
We can find the equation of a line in the form of y = mx + b, if the coordinates of points forming the line are known to us.
Thus, Y form is the slope-intercept form of a straight line.
To know more about slope-intercept form visit: brainly.com/question/29146348
#SPJ4
Slices of cake were sold at a bake sale.
In total, Archie sold 33 cakes and Pam sold
7³ cakes.
How many more cakes than Archie did Pam
sell?
Give your answer as a mixed number in its
simplest form.
The point that is equally spaced from a triangle's three vertices is known as the circumcenter.Triangle ABC's equilateral circumcenter is (-5, 2) .
What is the circumcenter?The point that is equally spaced from a triangle's three vertices is known as the circumcenter.
The triangle's three vertices are all located at the center of the circle.We may insert the coordinate values for the triangle ABC's vertices A(-5,3), B(5,8), and C(-5.8) into the formulas above to determine its circumcenter.
x = (8 - 3) * (-5.8^2 + 3^2 - 5^2 - 8^2)
- (3 - 8) * (-5^2 + 3^
2 - (-5) (-5)
^2 -3^2) / 2 * (3 - (-5))
* (8 - 3) - (3 - 8) * (-5.8 - (-5))
x = (-5) (-5)
y = (3 - (-5.8))
* (-5^2 + 3^2 - (-5)^2 -3^2)
- (-5 - (-5))
* (3^2 + 3^2 - (-5.8) (-5.8)
^2 - 8^2)
/ 2 * (3 - 8) (3 - 8)
* (-5 - (-5))
- (3 - 8) * (3 - (-5.8))
y = 2
The circumcenter of triangle ABC is hence (-5, 2)
To learn more about circumcenter refer
https://brainly.com/question/30312085
#SPJ1
