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2 years ago

Solve the equation for y and explain. 2y + 2(y - 2) = 5y - 3(y - 10)

Mathematics

1 answer:

Sloan [31]2 years ago

8 0

2y + 2(y-2) = 5y - 3(y-10)
2y + 2y - 4 = 5y -3y +30
4y - 4 = 2y + 30
4y - 2y = 30 + 4
2y = 34
y = 34/2
y = 17

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3 years ago

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3 years ago

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What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down?

zheka24 [161]

Answer:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

Step-by-step explanation:

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$A = (1,1)$ $B =(2,3)$

$C = (4,3)$ $D = (5,1)$

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The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

$(x,y)=>(-x,y)$

So:

$A = (1,1)$ $=> A' = (-1,1)$

$B =(2,3)$ $=> B' = (-2,3)$

$C = (4,3)$ $=> C' = (-4,3)$

$D = (5,1)$ $=> D' = (-5,1)$

When a point is translated 2 units down, the rule is:

$(x,y) => (x,y-2)$

So:

$A = (1,1)$ $=> A' = (-1,1)$ $=> A" =(-1,-1)$

$B =(2,3)$ $=> B' = (-2,3)$ $=> B" =(-2,1)$

$C = (4,3)$ $=> C' = (-4,3)$ $=> C" =(-4,1)$

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2 years ago