Both Elena and Lin are right , in my opinion. According to Elena, length BC is 16.5 units. Lin estimates that BC is 17.1 units long.
Whose are agree this ?The remainder of the query is included in the attachment. The figure shows that ED is parallel to A B and B C is parallel to A B. In light of the Pythagoras theorem,
[tex]$\mathrm{AC}^ 2=\mathrm{AB}^ 2+\mathrm{BC}^ 2$[/tex]
[tex]$\mathrm{BC}^ 2=196-36=160$[/tex]
[tex]$\mathrm{BC}=12.649$[/tex] or [tex]$12.65$[/tex]
Both Elena and Lin are right .A visual that conveys information rather than just representing it. particularly : a diagram demonstrating the relationships and arrangements (as between parts): a dotted line drawing used in science or math .
A diagram is a picture that shows how something works, how it's organised, or how it's related to something else. Even when they go by the names "map," "chart," or "graph," several diagram kinds are still considered to be diagrams. as flowcharts, organisational charts, and mind maps. An illustration that depicts an object's component elements and their relationships to one another is called a diagram.
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Re-write the quadratic function below in Standard Form y= -8(x-5)(x+1)
Answer:
y = -8[tex]x^{2}[/tex] + 32x + 40
Step-by-step explanation:
y= -8(x-5)(x+1)
y = (-8x + 40) (x + 1)
y = -8[tex]x^{2}[/tex] -8x + 40x + 40
y = -8[tex]x^{2}[/tex] + 32x + 40
ABC has vertices A(0, 0), B(0, 4), and C(3, 0). Write the equation for the line containing the
altitude AR in standard form.
y= -4/3 x
4y-3x = 0
3y-4x=0
3x-4y=0
The equation for the altitude AR of triangle ABC will be 4y-3x=0 i.e. B.
What is a triangle?
Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.
A triangle is categorized into three categories based on its sides, namely:
Scalene Triangle - Each side has a distinct length.
Isosceles Triangle - A triangle with two sides of equal length and one side of a different length.
Equilateral Triangle - A triangle has three sides that are of the same length.
A triangle is categorized into three categories based on its angles, namely:
Acute Angle Triangle - A triangle with all of its angles smaller than 90°.
Obtuse Angle Triangle - A triangle with one of its angles larger than 90°.
Triangle with a Right Angle - A triangle with one of its angles equal to 90°.
Now,
The general form of the linear line is:
y = mx + c where m is the slope and c is the y-intercept
Step 1: getting the slope:
Since AR is the altitude of ABC, therefore, AR is perpendicular on BC which means that slope of AR = -1/slope of BC
Therefore, we will need to get slope of BC:
We have point B = (0,4) and point C = (3,0)
slope of BC = (y2-y1) / (x2-x1) = (0-4) / (3-0) = -4/3
This means that:
slope of AR = m = 3/4
Step 2: getting the y-intercept:
Since point A belongs to the altitude, therefore, point A satisfies the equation of the line. So, to get the y-intercept, we will use point A to substitute in the equation of the line and solve for c as follows:
y = mx + c
y = (3/4) x + c
0 = (3/4)(0) + c
c = 0
Hence,
y = (3/4) x
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Ms.Rivers has art for specials every 2nd day, and Ms.Meyer has art 9th day. When will both classes have are on the same day?
Answer:
18th day
Step-by-step explanation:
so you basically have to find the Least common multiple
The rental fee for a Quad to ride off road and on the beach is $80, plus $10.00 for each hour that you ride. Write an algebraic expression for the total cost of renting the Quad for h hours?
Expression: ____________
Use the expression to determine the cost of renting the Quad for three and a half hours.
Total Cost is $__________
Algebraic expression for the total cost of renting the Quad for h hours is $80 + $10h. Cost of renting the Quad for three and a half hours is $115.
Short note on algebraic expressions?A mathematical sentence that incorporates coefficients, unknowable variables, algebraic operations, and constants is called an algebraic expression. The equals symbol, however, is not allowed in an expression. A mathematical phrase known as an algebraic expression combines variables and constants using the operational (+, -, & &) symbols. The equal (=) symbol is absent from algebraic symbols. Algebraic expressions include, for example, 10x + 63 and 5x - 3.
The rental fee for a Quad is $80 and it costs an additional $10.00 for each hour that you ride. So the total cost of renting the Quad for h hours can be represented by the algebraic expression:
$80 + $10h
where h is the number of hours you rent.
To find the cost of renting the Quad for three and a half hours, we can substitute h = 3.5 into the expression:
$80 + $10(3.5) = $80 + $35 = $115
So the total cost of renting the Quad for three and a half hours is $115.
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If you were to graph the inequality would the arrow point to the left or right? x<17
The arrow point to the left for the inequality x < 17.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that inequality is x < 17. When the inequality is plotted on the graph it will highlight the values that are less than the number 17. The graph of the inequality is attached with the answer below.
Hence, the arrow for the given inequality will point to the left side.
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9x+3=57
hjdddddddddddd
Answer:
the value of x is 55/9 ok hope it helps
How do you find the inverse of a linear graph?.
The inverse of the linear graph can be found by interchanging the values of x and y
When a function is stated in the form y = mx + b, where m and b are real integers and m is not equal to 0, the function is said to be linear. A linear graph is the graph of a linear function. The inverse of a linear graph can be found in two steps -
The first step is to replace the value of y with x and x with y in the original equation of the linear function.The second step is to solve the equation for x in terms of y, which will give the inverse function.For example, if the linear function equation is y = 3x + s, the inverse function can be found by swapping x and y, and solving the equation for x: y = 3x + 2 and x = 3y + 2. Alternatively, the inverse function can also be determined by interchanging x and y values and changing the sign of the slope of the original function. Therefore, the inverse function of y = 3x + 2 is x = (2/3)y - 2/3
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Jake is buying baseball cards for his brother in college. The price of a card is based on its condition. The table shows the total cost of x number of cards for each condition.
Condition Total Cost
Poor x
Fair 1.75x
Good 9.5x
Excellent 20.5x
Like New 45.65x
He buys 6 that are in fair condition, 5 that are in good condition, and 2 that are in excellent condition. The shipping cost for the baseball cards is $4.00. What expression represents the total cost of buying and shipping the baseball cards?
The total cost of buying and shipping the baseball cards is given as follows:
$396.
How to obtain the total cost?The total cost is obtained applying the proportions in the context of this problem, considering the state of each card.
The amounts, along with their cost, are given as follows:
Fair: 6 x 1.75 x 4 = $42.Good: 5 x 9.5 x 4 = $190.Excellent: 2 x 20.5 x 4 = $164.Hence the total cost of buying and shipping the baseball cards is obtained as follows:
42 + 190 + 164 = $396.
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The sum of the measures of angle P and angle Q is 90°.
. The measure of angle P is (3x + 5)°.
. The measure of angle Q is 49°.
What is the value of x in degrees?
Enter your answer to the space provided below. Enter only number answer with no unit
x=
Answer:
12
Step-by-step explanation:
3x+5+49=90
3x+54=90
3x=90-54
3x=36
3x/36/3
x=12
I really need help like tonight
Answer:
Angle 1- 36
Angle 2- 90
Angle 3- 54
Angle 4- 36
Angle 5- 90
Angle 6- 54
Angle 7- 128
Angle 8- 54
Angle 9- 128
Angle 10- 54
Angle 11- 36
Angle 12- 144
Angle 13- 36
Angle 14- 144
Help is very much appreciated need this by tmr.
A triangle has vertices A (2,-3), B (-2,1) and C (1,2). Find the midpoint of the side AB.
The midpoint of side AB is (0,-1)
How to find the midpoint of the Triangle?
To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.
To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.
The midpoint of side AB can be found using the coordinates of points A and B:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Midpoint = ((2 -2)/2, (-3+1)/2)
Midpoint = (0,-1)
Hence, the midpoint of side AB is (0,-1)
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What is the easiest way to find equivalent expressions?.
The easiest way to determine equivalent expressions for algebraic expression is by using the factoring.
Equivalent expression : In Algebra, equivalent expressions are algebraic expressions that, although they look different, turn out to really be the same. And since they are the same, they will produce the same results when same value substitute for their variables. For example, 3(x + 2) and 3x + 6 are equivalent expressions because the value of both expressions remains the same for any value of x. When writing equivalent expressions, we must be sure that each side of the equal number corresponds to the same number. Using the factoring :
Identify the common factors in the parts of the equation.It may be necessary to divide the equation to find an equivalent expression.If the expression is, 2xy + 4x, In this case, both numbers are divisible by 2.Take out the first common number :2(xy + 2x). As y see that there is
another common factor, x. So, we
get the result as 2x(y + 2).
Thus, the required equivalent expression is determined.
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please help simplify:2^2010×5^2011/10^1000
Answer:
2^1010 x 5^1011
Step-by-step explanation:
This expression can be simplified by combining the exponents of the similar bases.
2^2010 x 5^2011 / 10^1000 = (2^2010 x 5^2011) / (2^1000 x 5^1000)
= (2^1010 x 5^1011) / 10^1000
The final answer is 2^1010 x 5^1011.
What is limit in maths class 11?.
The limit is normally defined as
[tex]lim _{x- > c} f(x) = L[/tex]
It is read as “the limit of f of x, as x approaches c equals L”.
In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behaviour at a certain time. The idea of the limit of a topological net broadens the definition of the limit of a sequence and relates it to the limit and direct limit in the theory category. In general, there are two sorts of integrals: definite integrals and indefinite integrals. The upper limit and lower limit for definite integrals are correctly defined.
Limits in maths are unique real numbers. Let us consider a real-valued function “f” and the real number “c”, the limit is normally defined as
[tex]lim _{x- > c} f(x) = L[/tex]
It is read as “the limit of f of x, as x approaches c equals L”. The “lim” shows the limit, and fact that function f(x) approaches the limit L as x approaches c is described by the right arrow.
A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. The right and left-hand limits still exist even though the limit is not specified in this situation.
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Is inverse function concave?.
The concept is the Concave function. The answer is yes if the inverse function is convex in nature.
In mathematics, a concave function is the opposite of a convex function. A concave feature is also referred to as downward concave, downward concave, upward convex, vertex convex, or top convex.
The slope of the inverse decreases as the slope of f increases. Thus the inverse of a convex differentiable function with a non-zero derivative is strictly concave.
In general, it can be shown that the inverse of a convex function is concave. Geometrically, a function is concave if its graph lies across its tangents. A function is concave if its graph lies below its tangent.
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What is the undefined terms of ray?.
The undefined terms of ray are-
PointLinePlaneThe best way to think of four geometric concepts is as "described and not defined." Since they are used to define other, more complex pieces, some fundamental elements in all branches of mathematics cannot be defined. The three undefined terms that serve as the foundation of Euclidean geometry in geometry can still be used to describe the other three terms. Mathematicians build worlds of concepts like angles, polygons, Platonic solids, Cartesian graphs, and more using descriptions of these four terms as a starting point.These terms are not any less useful or valid than other terms that emerge from them just because they are formally undefined. Theorems, proofs, and the definition of other words frequently make use of these four undefined terms.To learn more about rays here
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To create an entry code, you mut firt chooe 3 letter and then, 3 ingle-digit number. How many different entry code can you create?
The total entry code can create by the dataset given is 17576000.
How to determine the total entry code?Assume the entry character that is n. As per requirement given are the first three entry are 3 letter then then n1 = 26 , n2 = 26, n3 = 26. Then, the three after that is a single digit number, so n4 = 10, n5 = 10, n6 = 10. Since we have find the value of each entry character then we can determine total entry code as follow:
Total entry code = n1 x n2 x n3 x n4 x n5 x n6
Total entry code = 26 x 26 x 26 x 10 x 10 x 10 = 26³ x 10³
Total entry code = 17576 x 1000
Total entry code = 17576000
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add the difference of 7 and m to 4
The expression would be "4 + (7 - m)" .
This expression takes the value of m, subtracts it from 7, and then adds the result to 4.
a pie is made up of 8 slices. if 37.5% of the pie slices remain after dinner, how many slices of pie remain after dinner?
Answer:
3 slices
Step-by-step explanation:
37.5% = 0.375
We take
8 times 0.375 = 3 slices
So, 3 slices of pie remain after dinner.
Find a bae and exponent form for the following number without uing the exponent 1
The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.
The term 'power' in mathematics refers to increasing a base number to its exponent. It signifies the "base number" and "exponent" as the two fundamental elements of powers.
The exponent represents the number of times the base number is multiplied, whereas the base number is defined as a number multiplied by itself. We can see exponent terms in many scientific notations to denote the large numbers as the powers of 10.
In a nutshell, power is a number expressed using exponents. It means that the same factor is multiplied multiple times.
Thus, The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.
Complete question: Find a base and exponent form for the following number without using the exponent 1,000,000.
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The base number is described as a number multiplied by itself, whereas the exponent shows how many times the base number has been multiplied. Many scientific notations use exponent terms to identify large values as powers of 10.
In a nutshell, a power is an exponentiated integer. It denotes numerous times of multiplying the same factor.
Zahara Smith i wondering how he can make her check tretch enough to afford her monthly cable, water, grocery, and cell phone bill. Zahara i concerned with
need. Limit. Need and want. Want and limit
Answer: Sam here it
Step-by-step explanation:
What is the answer to this problem I need help please and thank you .9-z+3-2z=
Answer:
12 - 3z or 3 .9 - 3z
Step-by-step explanation:
1 - if it is just a "9" and not a "0 .9" the answer is "12-3z". You will have to isolate the expressions with the "z" (the 2z and the z). They have a "-" before them, so they are negative expressions (-2z and -z). When the letter is alone, we supose that is a whole, not a decimal, expression, so it is like "1z". After all, you will have two negative expressions, the "-1z" and the "-2z", then you will just add "-1z" and "-2x" (-1z + (-2z) = -1z -2z = -3z
Now, you will need to add "9" and "+3" (9 + (+3) = 9 + 3 = 12).
Now, you have a "-3z" and the "12", and you will add they (-3z + 12 = 12 + (-3z) = 12 - 3z).
2 - But, if it is a "0 .9" ( "0 .9" is the same of " .9" and not a "9" the answer is "3 .9 - 3z". Now it is the same as the number 1 (just do the same from the "You will have" to the "-1z -2z = -3z".
Now, you need to add "0 .9" and "+3" ( .9 + (+3) = .9 + 3 = 3 .9).
So, you have the "-3z" and the "3 .9", and you need to add them ( 3 .9 + (-3z) = 3 .9 - 3z ).
I recommend you to study more of rule of signs, like (-) + (-) = (+) and things like this.
Hope that I could help you
(5c³) - (2c⁵) = ?
please help
Answer:
[tex](5-2c^{2}) c^{3}[/tex]
Step-by-step explanation:
Factor out [tex]c^{3}[/tex]
[tex](5-2c^{2})[/tex] is not factored since it does not have any rational roots.
How large does the strength of an earthquake differ for a 1. 0 increment in the Richter magnitude scale?.
The strength of an earthquake differ for a 1. 0 increment in the Richter magnitude scale by 31 units.
American seismologists Charles F. Richter and Beno Gutenberg developed the Richter scale (ML), a numerical indicator of an earthquake's size, in 1935. The height of the greatest seismic wave, as measured by the logarithm of its amplitude (height), is used to calculate the earthquake's magnitude.
Although the original Richter scale has been supplanted by other, more precise scales in modern science, the Richter scale is still frequently used incorrectly in news reporting of earthquake severity as a catch-all name for the logarithmic scale that earthquakes are measured on.
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How do you solve a 3 variable system of equations?.
When solving systems of equation with three variables we use the elimination method or the substitution method to make a system of two equations in two variables.
There are several methods to solve a system of equations with three variables, including substitution, elimination, and graphing. One common method is to use elimination, also known as the addition/subtraction method. This involves adding or subtracting equations in order to eliminate one of the variables and creating an equation with only two variables. Once you have a system of two equations with two variables, you can solve for one of the variables, substitute that value back into one of the original equations, and then solve for the remaining variable. After that you can use the value of the variables to find the values of the other variables.
Hence, When solving systems of equation with three variables we use the elimination method or the substitution method to make a system of two equations in two variables.
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write an equivalent expression for 4x + 9 + 3y + 3x + 4
The equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.
What is a good example of an equivalent expression?
Example Expressions Expressions That Are Equivalent Equivalent
Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.
To write an equivalent expression, we can simplify the expression by combining like terms:
4x + 3x = 7x
9 + 4 = 13
So, the equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.
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What is x divided 12;x= 2/3
Answer:
X is 18
Step-by-step explanation:
2/3 = 0.6666666666666667
12 divided by 18 = 0.6666666666666667
In the triangle below, m/A = x°, m/B = 3x°, m/C= 24°. Find the value of mA =?
29°
39°
36.5°
O 41.5°
Answer:
39°
Step-by-step explanation:
Basically, what you have to do is x+3x+24°=180° (since the measures of all sides inside all triangles is 180°). 4x+24°=180°. 4x=156°. x=39°.
What are the zeros of the polynomial function f x x3 − 2x2 − 24x?.
The zeros of polynomial function f(x) = x³ - 2x² - 24x are x = 0, x = -4 and x = 6
Consider given function f(x) = x³ - 2x² - 24x
We know that the zeros of a function are nothing but the values of the variable of the function that makes the function value equal to 0.
To find the zeros of function f(x), we need to equate f(x) to zero then solve it for x.
⇒ f(x) = 0
⇒ x³ - 2x² - 24x = 0
⇒ x (x² - 2x - 24) = 0
⇒ x = 0 OR x² - 2x - 24 = 0
Now we solve quadratic equation x² - 2x - 24 = 0
x² - 2x - 24 = 0
x² - 6x + 4x - 24 = 0
(x - 6)(x + 4) = 0
x = 6 OR x = -4
Thus x = 0, x = -4 and x = 6 are zeros of given polynomial function.
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The complete question is:
What are the zeros of the polynomial function f(x) = x³ - 2x² - 24x?.
in the figure PQ is parallel to RS the length of PQ is 2 cm; the length of RS is 6 cm; the length of QT is 4 cm what is the length of TS
The length of TS in ΔTRS using Similarity of triange is 12 cm .
What is Similarity of Triangles ?If two items have the same shape or have the same shape as their mirror images, they are said to be Similar. One can be produced from the other more accurately by evenly scaling it, perhaps with the addition of further translation, rotation, and reflection.
If the sides are in the same ratio or proportion and the angles are equal (corresponding angles), two triangles will be comparable (corresponding sides). Similar triangles may have varying individual side lengths, but they must have equal angles and the same scale factor or matching ratio of the side lengths. If two triangles resemble one another, then
Triangles with similar angle pairings have all the same angles.Triangles have proportionate sides on all matching sides.In ΔTPQ and ΔTPS
∠T is common in both triangle
PQ ║ RS
∴∠TPQ = ∠TRS (Corresponding Angles)
similarly ,
∠TQP = ∠TSR
∴ Δ TPQ ~ ΔTRS
So,
PQ/ RS = TQ/ TS
⇒ 2/ 6 = 4 / TS
⇒TS = (4*6)/2 = 12
The length of TS in ΔTRS using Similarity of triange is 12 cm .
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