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3 years ago

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-4.5x-2y=-12.5 3.25x-y=-0.75 solve by elimination

1 answer:

creativ13 [48]3 years ago

5 0

-4.5x-2y=-12.5 and 3.25x-y=-0.75
we first multiply the second equation by -2
(-2)*(3.25x-y=-0.75)=-6.5x+2y=-1.5
add the equation to eliminate the y
so yo get (-4.5x-6.5x)=(-12.5-1.5)
-11x=-11
x=1
now we plug in x into any equation to solve for y
-45x-2y=-12.5 and x=1
(-45*1)-2y=-12.5
-4.5-2y=-12.5
-2y=-12.5+4.5
-2y=-8
y=4
then your answer is x=1 and y=4

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Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ to calculate the length of each segment.

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✔️Distance between X(1, 2) and Y(2, -4)

Let,

$X(1, 2) = (x_1, y_1)$

$Y(2, -4) = (x_2, y_2)$

Plug in the values

$XY = \sqrt{(2 - 1)^2 + (-4 - 2)^2}$

$XY = \sqrt{(1)^2 + (-6)^2}$

$XY = \sqrt{1 + 36}$

$XY = \sqrt{37}$

$XY = 6.08$

✔️Distance between Y(2, -4) and Z(-2, -1)

Let,

$Y(2, -4) = (x_1, y_1)$

$Z(-2, -1) = (x_2, y_2)$

Plug in the values

$YZ = \sqrt{(-2 - 2)^2 + (-1 -(-4))^2}$

$YZ = \sqrt{(-4)^2 + (3)^2}$

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$YZ = \sqrt{25}$

$YZ = 5$

✔️Distance between Z(-2, -1) and W(-1, 1)

Let,

$Z(-2, -1) = (x_1, y_1)$

$W(-1, 1) = (x_2, y_2)$

Plug in the values

$ZW = \sqrt{(-1 -(-2))^2 + (1 - (-1))^2}$

$ZW = \sqrt{(1)^2 + (2)^2}$

$ZW = \sqrt{1 + 4}$

$ZW = \sqrt{5}$

$ZW = 2.24$

✅Perimeter = 2.24 + 6.08 + 5 + 2.24 = 15.56

≈ 15.6

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3 years ago