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3 years ago

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Maria has a fence around her triangular garden. The first side is (y+4) feet long. The second side is 2 feet longer than the fir

st side. The third side is 3 feet less than 2 times the first side. Write a simplified expression to represent the perimeter of the garden.

1 answer:

My name is Ann [436]3 years ago

8 0

(y+4)+((y+4)+2)+(2(y+4)-3)=perimeter

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Dennis_Churaev [7]

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Step-by-step explanation:

You only need two points on a line to find the equation for that line.

We are going to use 2 points that cross that line or at least come close to. You don't have to use the green points... just any point on the line will work. You might have to approximate a little.

I see ~(67.5,67.5) and ~(64,65).

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You may use $\frac{y_2-y_1}{x_2-x_1}$ where $(x_1,y_1) \text{ and } (x_2,y_2)$ are points on the line.

Or you can line up the points vertically and subtract then put 2nd difference over 1st difference.

Like this:

( 64 , 65 )

-( 67.5, 67.5 )

--------------------

-3.5 -2.5

So the slope is -2.5/-3.5=2.5/3.5=25/35=5/7.

Now use point-slope form to find the equation:

$y-y_1=m(x-x_1)$ where $m$ is the slope and $(x_1,y_1)$ is a point on the line.

$y-65=\frac{5}{7}(x-64)$

Distribute:

$y-65=\frac{5}{7}x-\frac{5}{7}\cdot 64$

Simplify:

$y-65=\frac{5}{7}x-\frac{320}{7}$

Add 65 on both sides:

$y=\frac{5}{7}x-\frac{320}{7}+65$

Simplify:

$y=\frac{5}{7}x+\frac{135}{7}$

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