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2 years ago

Sydney drew segment AC and segment BC to help her use the Pythagorean theorem

Mathematics

1 answer:

kenny6666 [7]2 years ago

4 0

Answer: B

Step-by-step explanation:

The question is asking for you to use the Pythagorean Theorem in order to find the length or line AB.

a^2+b^2=c^2

Since AB is what we are trying to find in this situation it is c. The graphic shown tells us that the length of line CA= (y2-y1) and CB= (x2-x1), these numbers represent a and b in the expression shown above. From here you should implement the information into the equation.

(x^2-x^1)^2+(y2-y1)^2= AB

The next step in finding the product would be to square both sides of the equation. In this case we only need to square the side with the calculation because the variable AB already represents the answer you would calculate. Which leaves us with the answer shown in the image below.

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Solve for the width in the formula for the area of a rectangle.

madam [21]

A = L * W
A / L = W <==

when A = 42 and W = 16.8
A / L = W
42/16.8 = W
2.5 = W <=== width = 2.5 inches

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2 years ago

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write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,-5)

gladu [14]

Find midpoint of segment.
(-1,1), (7,-5)
$x= \frac{-1+7}{2}=3,y= \frac{1+(-5)}{2}=-2$

Find slope of line which passes through (-1,1) and (7,-5).
$m= \frac{-5-1}{7-(-1)}= \frac{-6}{8}=- \frac{3}{4}$

The slope of perpendicular line is negative reciprocal value of m.
$m_{\perp}=- \frac{1}{m} =- \frac{1}{- \frac{3}{4} } = \frac{4}{3}$

Write quation of line which slope is $\frac{4}{3}$ and passes throug the point (3,-2).
$m=\frac{4}{3},x_1=3,y_1=-2
\\y-y_1=m(x-x_1)
\\
\\y-(-2)=\frac{4}{3}(x-3)
\\
\\y+2=\frac{4}{3}x-\frac{8}{3}
\\
\\3y+6=4x-8
\\4x-3y-14=0$

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2 years ago

Stevens bank account balance was $212 at the beginning of the month he withdrew $63,$74 and $39 he also deposited $105 and $86 w

Natali5045456 [20]

Answer:

$227

Step-by-step explanation:

First we can add up the withdrawals(63, 74, and 39) which is 176. We can then subtract 176 from 212 to get 36.

So, after the withdrawals Steven has 36 dollars.

We can add the deposits together to get 191. We can then add 191 to 36 to get 227.

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2 years ago

Help me with my homework. i will heart correct

anzhelika [568]

Answer:

A is y-4 x-4

B is y-3 x-2

C is y-1 x-2

D is y-1 x-4

Step-by-step explanation:

look at where they are lined up from y to x

8 0

3 years ago

G = 3 and h = 33 <br> h - 4g

kirill [66]

33-4(3)
33-12
21
The answer is 21

8 0

2 years ago