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Ulleksa [173]
3 years ago
14

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0

Answer:

The answer is 2

Step-by-step explanation:

aleksandr82 [10.1K]3 years ago
3 0

Answer: The slope of C'D' = 2

Step-by-step explanation:

From the given picture, we can that the coordinates of point C and D are (5,4) and (4,2).

After dilation with scale factor of 8 with the origin as the center of dilation , the coordinates of C' and D' will be :-

C'=(8\times5,8\times4)=(40,32)

D'=(8\times4,8\times2)=(32,16)

Now, the slope of line segment C'D' will be

\text{Slope}=\dfrac{\text{Change in y-coordinate}}{\text{Changein x-coordinate}}\\\\\Rightarrow\text{Slope}=\dfrac{16-32}{32-40}\\\\\Rightarrow\text{Slope}=\dfrac{-16}{-8}\\\\\Rightarrow\text{Slope}=2

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Twin brothers, Billy and Bobby, kid mother grandparents lawn together for 60 minutes. Billy could mow the lawn by himself in 20
Dovator [93]

Answer:

Bobby around 131 minutes and Billy around 111 minutes

Step-by-step explanation:

To solve the problem it is important to raise equations regarding what happens.

 They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:

1 / Bo + 1 / Bi = 1/60 (1)

They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore

1 / Bi = 1 / (Bo-20) (2)

Replacing (2) in (1) we have:

1 / Bo + 1 / (Bo-20) = 1/60

Resolving

(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60

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Rearranging:

Bo ^ 2 - 140Bo -1200 = 0

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Bo = 130.82 or Bo = 9.17, <em>this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together</em>, therefore Bobby only takes around 131 minutes and Billy around 111 minutes

Checking with equation 1:

1/131 +1/111 = ~ 1/60

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