The slope of the line is the ratio of the rise to the run, or rise divided by the run.
What is slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; the reason for this usage is unclear, although it can be found in O'Brien's (1844)[2] and Todhunter's (1888)[3] formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.
According to the given statements;
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. Calculating the slope of a line is similar to finding the slope between two different points.
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Please help asap!!!!!
The value of a certain stock tripled. If you knew what the stock used to be worth, how would you find how much it is
worth now?
Determine whether the quadrilateral can always, sometimes, or never be inscribed in a circle. Explain your reasoning.
rhombus
Not all rhombus can be inscribed in a circle until the rhombus has four 90º angles which is a square.
A rhombus can only be can be inscribed in a circle. basically the opposite angles there in the rhombus are congruent. if the opposite angles are not supplementary, that rhombus cannot be encircled, while that rhombus had four 90º angles, which means if it is a square, as in general a rhombus has two diagonals that are not equal except square so the endpoints of the shorter diagonal would not be points on the circle.
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explain how to use addition properties to find the value of 6+8+4
Solve for f. – 9+8f= – 6+5f
Answer:
f = 1
Step-by-step explanation:
-9 + 8f = -6 + 5f
move variables
-9 + 6 = -3
-3 + 8f = 5f
5f - 8f = -3f
-3 = -3f
divide by -3
f = 1
3 times a number is increased by 22, the result is 14 less than 7 times the number. What
is the number?
The value of the number is 9
Solving linear equationsFrom the question, we are to determine the number
From the given information,
"3 times a number is increased by 22"
Let the number be x
Thus,
3x + 22
"the result is 14 less than 7 times the number"
That is,
3x + 22 = 7x - 14
Now, solve the equation
3x + 22 = 7x - 14
22 + 14 = 7x - 3x
36 = 4x
x = 36/4
x = 9
Hence, the value of the number is 9
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Point D is located on line MV. The coordinates of D are (0,−3/4). What ratio relates MD to DV?
If you do solve this can you show your work so I know how to solve problems like this, too?
Point M coordinates: (-6, 3)
Point V coordinates: (2, -2)
If point D is located on the line MV, then the ratio that relates MD to DV is 3 : 1
How to determine the ratio that relates MD to DV?The given parameters are
Point M coordinates: (-6, 3)Point V coordinates: (2, -2)Point D coordinates: (0, -3/4)Calculate the distance between point D and point M using
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have
MD = √(-6 - 0)^2 + (3 + 3/4)^2
Calculate the distance between point D and point V using
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have
DV = √(2 - 0)^2 + (-2 + 3/4)^2
The ratio that relates MD to DV is represented as
Ratio = MD : DV
So, we have
MD : DV = √(-6 - 0)^2 + (3 + 3/4)^2 : √(2 - 0)^2 + (-2 + 3/4)^2
This gives
MD : DV = √(-6)^2 + (3 3/4)^2 : √(2)^2 + (-1 1/4)^2
Evaluate the exponents
MD : DV = √[36 + 225/16] : √[4 + 25/16]
Evaluate the sum
MD : DV = √[801/16] : √[89/16]
Divide ratios by √[89/16]
MD : DV = √9 : √1
Evaluate the exponent
MD : DV = 3 : 1
Hence, the ratio that relates MD to DV is 3 : 1
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Write an equation for each line. m=3 and the y -intercept is (0,2) .
The equation of a line with slope = 3 and y-intercept = (0,2) is: y = 3x + 2
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Now,
Given:
Slope of the given line = 3Coordinates of the y-intercept = (0,2)To find: Equation of the line
Finding:
Now, we know that the slope-point form method to find the equation of a line, requires only two things: slope of the line and coordinates of the y-intercept.The equation so given by the method: y = mx + c, wherem = slope of the linec = y-interceptOn substituting the given values in the above equation, we get:=> y = 3x + 2, which the required equation of the line.
Hence, The equation of a line with slope = 3 and y-intercept = (0,2) is: y = 3x + 2.
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Write each statement in if-then form. An acute angle measures less than 90 .
If-then form of the given statement : an acute angle measures less than 90 will be : If an angle is an acute angle, then the angle measures less than 90 degrees.
We can understand this problem by using the above statement as an example like :
If an angle is an acute angle, then the angle measures less than 90 degrees. The part after if : an angle is an acute angle is called a hypotheses and the part after then : the angle measures less than 90 degrees is called a conclusion.
Hypotheses followed by a conclusion is called an If-then statement or a conditional statement.
This is noted as :
p → q
This is read - if p then q.
A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said "If an angle is an acute angle, then the angle does not measure less than 90 degrees."
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Ricardo is talking to his parents about saving for retirement. Which of the following is NOT a good way to save for retirement, and why?
Answer:
There is nothing to refer to
Step-by-step explanation:
X=2 if and only if |x| = 2
True or false? Please answer if you're 100 percent sure.
Answer:
False
Step-by-step explanation:
Let's just analyze it.
x=2 if and only if |x|=2
That can be rewritten as:
if x = 2 then |x| = 2
AND
if |x| = 2 then x = 2
Let's solve each one separately:
we have x = 2
we can simply get |x| by removing the sign, if any. There is none, so |x| = 2.
The first part checks out.
we have |x| = 2
As with absolute values, this means that either x = 2 or x = -2
So we know from |x| that x is either 2 or -2, but the logical statement said "if |x| = 2 then x = 2", which is too specific - it forgets about -2.
The second part is false.
Overall, we now know that "X=2 if and only if |x| = 2" is false because x = -2 is a counterexample. We get: "False if and only if True" which itself is false.
the temperature in Minnesota was -11 degrees Fahrenheit.In Los Angeles the temperature was 57 degrees Fahrenheit.How many degrees warmer was the temperature in Los Angeles.?
Answer:
68 degrees higher.
Step-by-step explanation:
You have to start at negative ( -11 to 0 ) which is already 11 degrees and then you need to count how much degrees from 0 to 57.
Answer: 68°F warmer was the temperature in Los Angeles
Step-by-step explanation:
[tex]57^0F-(-11^0F)=\\\\57^0F+11^0F=\\\\68^0F[/tex]
A googol is the number 1 followed by 100 zeros. Earth's mass is 5. 972 × 10^24 kilograms. How many Earths
are needed to have a total mass of 1 googol kilograms? Write your answer in scientific notation with the coefficient
rounded to 2 decimal places.
The number of Earths needed have a total mass of 1 googol kilograms is 1.67 x [tex]10^{75}[/tex].
How many Earths is needed?Scientific notation is used to compress large numbers in smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.For example: 1 x 10² is equivalent to 100
A googol in scientific notation is 1 x [tex]10^{100}[/tex]
The number of Earths needed have a total mass of 1 googol kilograms =
(1 x [tex]10^{100}[/tex]) ÷ (5.972 ×[tex]10^{24}[/tex])
(1 ÷ 5.972) x ([tex]10^{100 - 24}[/tex])
0.16745 x [tex]10^{76}[/tex]
= 1.67 x [tex]10^{75}[/tex]
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y varies directly with x .If y = (1/2) when x=4 , find y when x=5 .
The required value of y is 5/8.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of y
let k be the constant of proportion
When a quantity varies directly with others, then we have a relation, y = kx —-- 1
Now, find k for given x = 4 and y = ½, we need to put these values in equation 1, i.e.
½ = k(4)
k = ⅛
Further calculate y for given x = 5 and constant of proportion, k = 1/8 i.e.
y = (⅛)(5)
y = 5/8
Hence, the required value of y is 5/8.
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What are the solutions of the equation cscxtanx=2sqrt3/3 on the interval [0,2pi)?
im having trouble understanding this, can someone help?
The solutions of the trigonometric equation are x₁ = π / 6 and x₂ = 5π / 3.
How to solve a trigonometric equation on a given interval
In this problem we find a trigonometric equation which has to be simplified and solved for x to find the family of solutions within the given interval:
csc x · tan x = 2√3 / 3
(1 / sin x) · (sin x / cos x) = 2√3 / 3
1 / cos x = 2√3 / 3
cos x = 3 / 2√3
cos x = √3 / 2
Then, by inverse trigonometric functions:
x₁ = π / 6, x₂ = 5π / 3
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fill in the table using function rule.
y=3x-1
Answer:
2; 11; 17; 23
Step-by-step explanation:
when you have an x you plug it in for the y
so
for the first one
you do
y = 3(1) - 1
y = 3 - 1
y = 2
that is the first one
you do this for the next 3 too
y = 3(4) - 1
y = 12 - 1
y = 11
y = 3(6) - 1
y = 18 - 1
y = 17
y = 3(8) - 1
y = 24 - 1
y = 23
those are your answer
Find the sum. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar.
37+23/7-2
17 17
Answer:
[tex]6/17[/tex]
Step-by-step explanation:
I assume you want the question in the picture solved as your written question is different but appears to be copied and pasted from the text.
1. When adding fractions the denominator (number on the bottom) must be the same between the two fractions, i.e. having a common denominator. In this case they are already the same, that is, 17 and 17. Just add the top numbers (numerators) together, and leave the denominator the same. So,
[tex]\frac{3}{17} +\frac{3}{17} =\frac{6}{17}[/tex]
Last year, there were 156 pies baked for the bake sale. This year, there were d pies baked. Using d, write an expression for the total number of pies baked in the two years.
The expression for the total number of pies baked in the two years is 156 + d
What are algebraic expressions?Algebraic expressions can be defined as expressions composed of variables, terms, factors, coefficients and constants.
They are also made up of mathematical operations such as division, addition, subtraction, multiplication, etc
From the information given, we have;
156 pies baked for the bake sale for the previous yearThere were d pies baked this yearThe expression is written as;
Total number of baked pies = 156 + d
Thus, the expression for the total number of pies baked in the two years is 156 + d
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Dalton Alexander's gross weekly pay is $576. His earnings to date for the year total $13,824. What amount is
deducted from his pay per week for Medicare, which is taxed at 1.45 percent?
According to the given statement;
Amount is deducted from his pay per week for Medicare, which is taxed at 1.45 percent is $8.35
What is gross pay?Gross pay is the sum of a person's earnings during a specific time period before any deductions are made. The calculation of gross pay does not take into account deductions for employer-provided health insurance, retirement plans, or compulsory taxes and Medicare contributions. Since it does not reflect a person's take-home pay, the gross pay definition is different from the one for net pay.
According to the given value;
Dalton's gross pay = 576
his medicare tax rate = 1.45% = 0.0145
the tax on his medicare = 0.0145 x 576 = $8.35
Hence,Amount is deducted from his pay per week for Medicare, which is taxed at 1.45 percent is $8.35
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Two suitcases are similar rectangular prisms. The smaller suitcase is 68 centimeters long, 47 centimeters wide, and 27 centimeters deep. The larger suitcase is 85 centimeters long.
b. What is the volume of the larger suitcase? Round to the nearest tenth.
The volume of the larger suitcase, a rectangular prism 85 centimeters long, is 168,539.1 cubic cm.
Solids of the same type that have proportional corresponding linear
measures are similar solids. In the case of similar rectangular prisms:
length of A / length of B = width of A / width of B = height of A / height of B
Using this scale, if the larger suitcase is 85 centimeters long, and the smaller suitcase is 68 centimeters long, 47 centimeters wide, and 27 centimeters deep, then:
length of larger suitcase / length of smaller suitcase = 85 cm / 68 cm = 5/4
width of larger suitcase / width of smaller suitcase = 5/4
width of larger suitcase = 5/4 (47 cm)
width of larger suitcase = 58.75 cm
depth of larger suitcase / depth of smaller suitcase = 5/4
depth of larger suitcase = 5/4 (27 cm)
depth of larger suitcase = 33.75 cm
Solving for the volume of the larger suitcase using the formula for the volume of rectangular prism:
V = lwh
V = 85 cm (58.75 cm) (33.75 cm)
V = 168,539.0625 cubic cm
Rounding off to the nearest tenth.
V = 168,539.1 cubic cm
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Evaluate.
5/4 ÷ 3/5
help pls!!!!!
Answer: 25/12
Step-by-step explanation:
Unit rate 25 letters in 4 days
Answer:6.25
Step-by-step explanation:25/4=6.25 hope this helps
how many ways can a student select 5 questions from an exam containing 9 questions
There are 126 ways a student can select 5 questions from an exam containing 9 questions
How to determine the number of selections?The given parameters are
Total questions, n = 9
Selected question, r = 5
The number of ways is calculated as
Ways = nCr
This gives
Ways = 9C5
Apply the combination formula
Ways = 9!/5!4!
Evaluate
Ways = 126
Hence, there are 126 ways a student can select 5 questions from an exam containing 9 questions
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31. Solve for x.
(4x + 7)°
[2x +5)°
For the equation (4 x + 7)° = (2 x + 5)°, we get the value of x as - 1.
We are given an equation as:
(4 x + 7)° = (2 x + 5)°
We need to solve this equation to find the value of the variable x.
We first will subtract 7 from both the sides:
4 x + 7 - 7 = 2 x + 5 - 7
4 x = 2 x - 2
Now Subtract 2 x from both the sides:
4 x - 2 x = 2 x - 2 - 2 x
2 x = - 2
Divide both sides by 2
2 x / 2 = - 2 / 2
x = - 1
Therefore, for the equation (4 x + 7)° = (2 x + 5)°, we get the value of x as - 1.
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Please Help! Due in 20 minutes
Answers
1.1) So, we're given that 6cm is 15 ft to scale. That means that every 2cm = 5ft. So, the dimensions of her room are 5ft x 10ft.
1.2) In square feet that makes 15 (length*width)
1.3) We want a 3-foot wide couch (1/5 of 15) which means it will be 1/5 of 6cm, which equals 1.2 cm wide.
What is the domain of function f?
ƒ(x) = 2|x − 1| + 3
Julia grows flowers in a garden that is the shape of a rectangle. the side lengths are 51/2 feet and 3 ft. which of these is equal to the area of the garden
Answer:
Step-by-step explanation:
an area of a rectangle is
A= LW
A=51/2 (3)
A= 153/2
A= 76.5 ft
Part 1 of 3
Use the number line below, where RS= 8y + 2, ST = 4y + 5, and RT = 79.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
Please help me
Using the segment addition postulate, the values are:
a. y = 6
b. RS = 50
ST = 29
How to Apply the Segment Addition Postulate?Based on the segment addition postulate, the following equation is true which we can use in finding the missing measures:
RS + ST = RT.
Given:
RS = 8y + 2,
ST = 4y + 5,
RT = 79.
a. Plug in the given values into RS + ST = RT:
8y + 2 + 4y + 5 = 79
12y + 7 = 79
12y = 79 - 7
12y = 72
y = 6
b. RS = 8y + 2 = 8(6) + 2
RS = 50
ST = 4y + 5 = 4(6) + 5
ST = 29
Thus, using the segment addition postulate, the values are:
a. y = 6
b. RS = 50
ST = 29
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The area of the triangular
Answer:
24 [tex]cm^{2}[/tex]
Step-by-step explanation:
a = [tex]\frac{bh}{2}[/tex]
We have the base, we need the height. Use the Pythagorean Theorem
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]6^{2}[/tex] + [tex]b^{2}[/tex] = [tex]10^{2}[/tex]
36 + [tex]b^{2}[/tex] = 100 Subtract 36 from both sides
[tex]b^{2}[/tex] = 64
[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{64}[/tex]
b = 8
a = [tex]\frac{bh}{2}[/tex]
a =[tex]\frac{6x8}{2}[/tex] =[tex]\frac{48}{2}[/tex] = 24
at school 350 students joined a club for math,english,science, music or historythe breakdown of the club is given in the pie chart
Answer:
Step-by-step explanation:
350 * 40% = 140 (MATH)
350 * 10% = 35 (ENGLISH)
350 * 25% = 87.5 so about 88 (SCIENCE)
350 * 10% = 35 (MUSIC)
350 * 15% = 52.5 also about 53 (HISTORY)
