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3 years ago

Tell whether the transformation appears to be a rigid motion. explain

Mathematics

1 answer:

AURORKA [14]3 years ago

4 0

Answer:

If you turn it or flip it over or move it it is essentially the same shape. If you try to stretch the paper or fold it you change what the shape is so it is not a rigid motion. Since the two circles are not the same size then it is not a rigid motion

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If the length of a pool is 8 more than twice the width and the total area is 960 square feet, find the length and width of the r

melomori [17]

Answer:

l=48, w=20

Step-by-step explanation:

Let the width of the pool be w feet, then the length will be:

$l = 2w + 8$

The area of the pool is 960 square feet.

This means that:

$w(2w + 8) = 960$

Expand and rewrite in standard form to get:

$2 {w}^{2} + 8w - 960 = 0$

${w}^{2} + 4w - 480 = 0$

${w}^{2} + 24w - 20w- 480 = 0$

${w}(w+ 24) - 20(w + 24) = 0$

Factor to get:

$(w+ 24)(w - 20) = 0$

$w = - 24 \: or \: w = 20$

We discard the negative value because magnitude is positive.

This means

$l = 2 \times 20 + 8 = 48$

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4 years ago

if L, M, and N are collinear with M BETWEEN L and N, MN = 5, and LN = 18, then what is the length LM?

bulgar [2K]

Answer:

$LM = 13$

Step-by-step explanation:

Given

$MN = 5$

$LN = 18$

Required

$Find\ LM$

Since, M is between LN, we have:

$LN = LM + MN$

Substitute values for MN and LN

$18 = LM + 5$

Make LM the subject

$LM = 18 - 5$

$LM = 13$

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4 years ago

Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 12 hours and traveled 696 miles. At wh

podryga [215]

Answer:

58 miles per hour

Step-by-step explanation:

divide 696 by 12 and you get 58

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3 years ago

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