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Sliva [168]
3 years ago
11

Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

To find the solutions to the system of equations we need to graph the following equations:

y = 8 - 4x (Red line)

y = 2x - 4 (Blue line)

The point of interception, is the solution to the system of equations.

By looking at the graph attached, you can see that the point of itersection is at (2,0)

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A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’
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Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

<u><em>The correct question is</em></u>

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

d^2=x^{2}+y^{2}

we have

d=13\ in

so

13^2=x^{2}+y^{2}

169=x^{2}+y^{2} ----> equation A

x=y+7 ---> equation B

substitute equation B in equation A

169=(y+7)^{2}+y^{2}

solve for y

169=y^2+14y+49+y^{2}

2y^2+14y+49-169=0

2y^2+14y-120=0

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

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