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Delvig [45]
3 years ago
6

Which rectangle if translated 12 units down and 7 units right will result in rectangle E?

Mathematics
2 answers:
jek_recluse [69]3 years ago
7 0
The correct answer would be rectangle 'D'.

If we looked at rectangle 'E' and moved it to the left by 7 units (every unit = 1 square on the grid), we would arrive at a point. From then, we can move upwards 12 units and arrive at rectangle 'D'.
djverab [1.8K]3 years ago
6 0

Answer:

option D

Step-by-step explanation:

translated 12 units down and 7 units right

(x,y)-> (x+7, y-12)

Lets pick a point on Rectangle A and apply the translation

(-11,4) -> (-11+7, 4-12) ->(-4, -8) That is not in our Rectangle E

Lets pick a point on Rectangle B and apply the translation

(-7,1) -> (-7+7, 1-12) ->(0, -11) That is not in our Rectangle E

Lets pick a point on Rectangle C and apply the translation

(-5,5) -> (-5+7, 5-12) ->(2, -7) That is not in our Rectangle E

Lets pick a point on Rectangle D and apply the translation

(-3,1) -> (-3+7, 1-12) ->(4, -11) That is in our Rectangle E

So option D is correct

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3 years ago
Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
zubka84 [21]
X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90


STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660


STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

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divide both sides by -95

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STEP 3
substitute y value into either original equation to solve for x

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x + 9(6)= 60

x + 54= 60
subtract 54 from both sides

x= $6 per cherry pie


CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90


ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)
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