All categories

2 years ago

What is the radius and center of the circle given by the equation (x-5)^{2}+(y+2)^{2} = 81/4

Mathematics

1 answer:

artcher [175]2 years ago

6 0

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written by

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-5)^{2}+(y+2)^{2} = 81/4

( (x-5)^{2}+(y- -2)^{2} = (9/2)^2

The center is (5, -2) and the radius is 9/2

You might be interested in

What is the final amount if 2250 is decreased by 2% followed by a further 3% decrease?

Marrrta [24]

Answer:

2138.85

Step-by-step explanation:

2250 decreased by 2% is

2% of 2250 subtracted from 2250

That’s

2% /100% x 2250

0.02 x 2250

So, decrease = 2250 - 45

= 2205

Now 2205 decreased by 3%

3% of 2205

3% /100% x 2205

0.03 x 2205

66.15

Decrease = 2205 - 66.15

= 2138.85

3 0

3 years ago

Read 2 more answers

Mathswatch? Help <br><br> Angles and parallel lines

GrogVix [38]

The answer is

a) x° = 80

reasons) the reason is a line is 180°
the angle 100°
that would leave you 80° to make a straight line

i hope this helped :)

3 0

3 years ago

Whats 7, −6, 4, −10, 3 least to greatest

exis [7]

Answer:

-10, -6, 3, 4, 7

Step-by-step explanation:

Hope it helps ^^

4 0

2 years ago

4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep

bagirrra123 [75]

Answer:

A sample of 18 is required.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.92}{2} = 0.04$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.04 = 0.96$ , so Z = 1.88.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the standard deviation was 2.2 days.

This means that $\sigma = 2.2$

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$1 = 1.88\frac{2.2}{\sqrt{n}}$