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3 years ago

5

A plot of land doubles in size by adding x meters to the length and x meters to the width of the land. If the original plot had

an area of 200 by 300 meters, what is the value of x?

1 answer:

mylen [45]3 years ago

6 0

2 * 200 * 300 = 200 + x * 300 + x = (200 + 300) * x

Solve for x.

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A point P is moving along the curve whose equation is y = \sqrt x . Suppose that x is increasing at the rate of 4 units/s when x

Mice21 [21]

Answer:3 units/s

Step-by-step explanation:

Given

$y=\sqrt{x}$

Point P lie on this curve so any general point on curve can be written as $(x,\sqrt{x})$

and $\frac{\mathrm{d} x}{\mathrm{d} t}=4 units/s$

Distance between Point P and (2,0)

$P=\sqrt{(x-2)^2+(\sqrt{x}-0)^2}$

P at x=3 P=2

rate at which distance is changing is

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{\mathrm{d} \sqrt{(x-2)^2+(\sqrt{x}-0)^2}}{\mathrm{d} t}$

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{2x-3}{\sqrt{(x-2)^2+(\sqrt{x}-0)^2}}\times \frac{\mathrm{d} x}{\mathrm{d} t}$

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{2\times 3-3}{2\times 2}\times 4=3 units/s$

8 0

3 years ago

we do is hiking along a trail that is 13.7 miles long. so far she has hide along 1/10 of the trail. how far has Rita hiked.

Westkost [7]

13.7*1/10=1.37 So far she has hiked 1.37 miles.

5 0

3 years ago

I need help with number 9 please thank you

vagabundo [1.1K]

Answer:

B:

Step-by-step explanation:

A pool is filled (which signifies the increase) a little time later (still full, flat line) it is emptied (the decrease) and then refilled (increase)

3 0

3 years ago

Which table represents y as a function of x

iren2701 [21]

Answer:

where are the tables i need a photo?

Step-by-step explanation:

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3 years ago

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Solnce55 [7]

Answer:

4 $\frac{3}{4}$ hours

Step-by-step explanation:

he was gone for 5 $\frac{1}{4}$ hours, he spent $\frac{1}{2}$ an hour driving.

5 $\frac{1}{4}$ - $\frac{1}{2}$ = 4 $\frac{3}{4}$ hours at work.

6 0

3 years ago