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jeka94
4 years ago
14

Need help on this question please

Mathematics
1 answer:
aleksley [76]4 years ago
7 0

Answer:

The answer to your question is: neither parallel nor perpendicular.

Step-by-step explanation:

Data

x - 7y = 10   ---(1)                and         2x + 14y = 21 ---- (2)

First we need to clear y from two equations

7y = x -10                                              14y = -2x +21

y = x/7 - 10/7                                             y = -2/14 x + 21/14

                                                                 y = -1/7 x + 3/2

slope = 1/7                                               slope = -1/7

They are neither parallel nor perpendicular, if they were parallel the slopes will be the same, if they were perpendicular they would have inverse values.

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The length of a rectangle is 4ft less than its width. The area of the rectangle is 60ft^2. Find the length and the width of the
irinina [24]

Answer: The length is 6 feet and the width is 10 feet.

Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.

We can now write an equation for the area of the rectangle as follows;

Area = L x W

60 = (W - 4) x W

60 = W^2 - 4W

If we rearrange all terms on one side of the equation, we now have

W^2 - 4W - 60 = 0

This is a quadratic equation and by factorizing, we now have

(W + 6) (W - 10) = 0

Hence,

Either W + 6 = 0 and then W = -6

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We know that the side of the rectangle cannot be a negative value, so we go with W = 10.

Having calculated W as 10, the length now becomes

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L = 6

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3 0
3 years ago
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d
telo118 [61]

Answer:

3 years

Step-by-step explanation:

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For each study, the population, y, after x years is:

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Second study:

y = 817 - 36x

We set the populations equal and solve for x, the number of years.

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3 years ago
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Answer:

Rational

Step-by-step explanation:

\sqrt[3]{125} is also equivalent to 5

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5 is a whole number, and therefore, is a rational number.

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I believe the answer would be B, good luck 
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