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Anvisha [2.4K]
3 years ago
7

Rectangle JKLM is similar to rectangle WXYZ . What is the scale factor of a dilation from JKLM to WXYZ ? Enter your answer in th

e box. Two rectangles with vertices labeled J K L M and W X Y Z. In rectangle J K L M, side L M is the base. Side J M is labeled 9 centimeters, and side J K is labeled 12 centimeters. In rectangle W X Y Z, side Y X is the base. Side Z W is labeled 13.5 centimeters, and side W X is labeled 18 centimeters.
Mathematics
1 answer:
Oxana [17]3 years ago
7 0
JKLM to WXYZ

JM = 9                ZW = 13.5
JK = 12               WX = 18

the scale factor is what u multiply the original shape to get the coordinates of the other shape.
13.5 / 9 = 1.5

9 * 1.5 = 13.5
12 * 1.5 = 18

so ur scale factor is 1.5 (because if u multiply 1.5 by the original shape, u get the new shape)
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Any fraction that will reduce to -3/2 will be equivalent to -3/2.

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Using it's formula, considering the results, it is found that the accuracy of the test is of 0.95 = 95%.

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Explain why it would not make sense to approximate 256 using the binomial theorem for the binomial (20 + 5)6.
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The formula for the Binomial Theorem with a power 6 is as:

(x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6

Thus, if we plug in 20 for x and 5 for y, our first term itself will be 20^6=64000000 which is much greater than 256 and thus it will not make any sense to use (20+5)^6 to approximate 256 using the binomial theorem.

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Our best bet here would be to use the equation with power 8:

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and have x=1 and y=1 which will give us

(1+1)^8=1^8+8(1)^7(1)+28(1)^6(1)^2+56(1)^5(1)^3+70(1)^4(1)^4+56(1)^3(1)^8+28(1)^2(1)^6+7(1)(1)^7+(1)^8 =256

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