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3 years ago

What is the wquation of a circle with center (-2.3) and radius 4

1 answer:

5 0

The equation of any circle is

(x - a)^2 + (y - b)^2 = radius^2 where our center is (a, b)

Therefore, our equation is as follows.

(x + 2)^2 + (y - 3)^2 = 16

You might be interested in

What are the factors of the square root of 329

Andru [333]

Answer: $x=-\dfrac{3}{2}, 7$

Step-by-step explanation:

$2x^2-10x-26=x-5$

$2x^2-10x-26-x+5=0$ Move all terms to one side

$2x^2-11x-21=0$ Simplify $2{x}^{2}-10x-26-x+5$

$2x^2+3x-14x-21=0$ Split the second term

$x(2x+3)-7(2x+3)=0$ Factor out common terms in the first two terms, then in the last two terms.

$(2x+3)(x-7)=0$ Factor out the common term $2x+3$

$x=-\dfrac{3}{2}, 7$

5 0

3 years ago

Read 2 more answers

What is 1 - 1/6 * 3/2 =

kolezko [41]

1-1/6*3/2

multiply the two fractions

1/6*3/2

Cross out 3 and 6, divide by 3.

1/2 * 1/2

multiply the numerators together

1*1=1

multiply the denominators together

2*2=4

1-1/4

pretend that 1 has a denominator which is 1

1/1-1/4

find the common denominator for 1/1 which is 4

multiply by 4 for 1/1

1*4/1*4=4/4

4/4-1/4

Answer:

3/4

4 0

3 years ago

Two customers took out home equity loans. • Cathy took out a 10-year loan for $20,000 and paid 5.20% annual simple interest • St

ratelena [41]

Answer: B) $4,000

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering Cathy's loan,

P = $20,000

R = 5.2%

T = 10 years

I = (20000 × 5.2 × 10)/100

I = $10400

Considering Steven's loan,

P = $20,000

R = 4.8%

T = 15 years

I = (20000 × 4.8 × 15)/100

I = $14400

The difference between the amounts of interest Cathy and Steven paid for their loans is

14400 - 10400 = $4000

4 0

3 years ago

Read 2 more answers

Consider the following hypothesis test:

Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

$H_0: \mu\leq50\\\\H_a:\mu> 50$

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809$

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24$

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0

3 years ago

A skateboard ramp makes a 27 degree angle with the ground to the nearest foot how high is the ramp

zepelin [54]

The answer is:
x=16.3

6 0

3 years ago