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2 years ago

12

It takes Doug 3 days to reroof a house. If Doug's son helps, it can be done in 2 days. How long would it take Doug's son to do t

he job alone?

1 answer:

Bess [88]2 years ago

7 0

It would take his son 3 days

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Find the midpoint of the segment with the following endpoints.<br> (8,5) and (0, -1)

Karo-lina-s [1.5K]

Answer:

(4,2)

Step-by-step explanation:

$Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(8,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\=\left(\frac{0+8}{2},\:\frac{-1+5}{2}\right)\\\\= (\frac{8}{2} , \frac{4}{2} )\\\\Simplify\\=\left(4,\:2\right)$

6 0

3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

I need help simplifying this prob

ycow [4]

Answer:

(x - 1)(x + 8)(x + 2)

5 0

2 years ago

Read 2 more answers

A puppy’s circular water bowl has a radius of 14 cm. Identify the two true statements.

avanturin [10]

Answer:

the diameter is 28 centimeters and the area is 97.4 centimeters

Step-by-step explanation:

the diameter is just the radius plus the radius so its 28

and i just solved for the area and got 97.4

6 0

3 years ago

I don't get part B, could u help me explain?

Nikolay [14]

It represents the rate she is texting per second

7 0

3 years ago