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ludmilkaskok [199]
3 years ago
11

A triangular pyramid is defined by the points .The pyramid is then reflected over the xz-plane. The reflected image is then tran

slated 3 units back, 2 units left, and 4 units up.
(a) Write the general rule you use for the reflection.
(b) Show the results of your calculations for the reflection.
(c) Write the general rule you use for the translation. (Hint: Begin with the result of the rule for the reflection.)
(d) Show the results of your calculations for the translation
Mathematics
1 answer:
Liula [17]3 years ago
3 0
THE ANSWER IS B Show the results of your calculations for the reflection.

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Answer:

The length is 8 inches and the width is 3 inches

Step-by-step explanation:

Let w represent the width.

The length can be represented by 2w + 2

Use the area formula, A = lw, and plug in the area and the expressions for the length and width:

A = lw

24 = (2w + 2)(w)

Simplify and solve for w:

24 = 2w² + 2w

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Divide everything by 2:

w² + w - 12

Factor:

(w + 4)(w - 3)

Set equal to 0 and solve for each factor:

w + 4 = 0

w = -4

w - 3 = 0

w = 3

Since the width cannot be negative, the width has to be 3.

Next, find the length by plugging in 3 as w:

2w + 2

2(3) + 2

= 8

So, the length is 8 inches and the width is 3 inches

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3. The first equation can be multiplied by 3 and the second equation by 2.

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Step-by-step solution:

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