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3 years ago

Give the center and radius of the circle x2+y2=25

Mathematics

1 answer:

Arisa [49]3 years ago

7 0

Answer:

B) (0,0); r=5

Step-by-step explanation:

A circle's standard form is (x-h)^2+(y-k)^2=r^2

The center is (h, k) and the radius is r.

So, here the center would be (0, 0) and the radius would be square root 25, or 5.

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If a town with a population of 1,500 doubles in size every 18 years, what will the population be 36 years from now? *

ad-work [718]

After the first 18 years, the population of 1500 will be doubled to 3000.

After the next 18 years, making 36 years total, the population of 3000 will double to 6000.

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3 years ago

Read 2 more answers

for v= 4i - 5j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vec

umka21 [38]

Answer:

a. $u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}$

Step-by-step explanation:

The given vector is v= 4i - 5j

The magnitude of this vector is;

$|v|=\sqrt{(-4)^2+(-5)^2}$

$|v|=\sqrt{16+25}$

$|v|=\sqrt{41}$

The unit vector u in the direction of v is;

$u=\frac{v}{|v|}$

$u=\frac{4i - 5j}{\sqrt{41}}$

$u=\frac{4i }{\sqrt{41}}-\frac{5j}{\sqrt{41}}$

We rationalize to get

$u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}$

4 0

3 years ago

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Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can burn

Firdavs [7]

Answer:

She will not meet her goal.

Step-by-step explanation:

There are 5 weekdays, so she will run for 0.5 * 5 = 2.5 hours over the weekdays

There are 2 weekends, so she will run for 2 * 1 = 2 hours over the weekend.

In total, this means she will run for 4.5 hours.

4.5 hours * 550 calories per hour = 2475 calories.

She will not meet her goal.

8 0

3 years ago

What piece of information is needed to prove<br> the triangles are congruent through ASA?

Elden [556K]

Answer:

B. <B is congruent to the <Z

5 0

3 years ago

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In 2000, the total population of the U.S. was 281.4 million people. In 2010, it was 308.7 million people. What is the average ra

kifflom [539]

Answer:

2.73 million people per year

Step-by-step explanation:

Turn sentences into coordinates/points:

In 2000, 281.4 million people

(x₁, y₁) = (2000, 281.4)

In 2010, 308.7 million people

(x₂, y₂) = (2010, 308.7)

Rate of population per year:

$\sf \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

$\rightarrow \sf \dfrac{308.7-281.4}{2010-2000}$

$\rightarrow \sf 2.73 \ million \ people$

5 0

2 years ago