Help I just don’t know what I’m supposed to do?

Rewrite the equation of each circle in Standard Form. Then graph.

chubhunter [2.5K]

Answer:

$(x + 5) ^ 2 + (y-0) ^ 2 = 2 ^ 2$

Step-by-step explanation:

The standard form for the equation of a circumference is:

$(x-a) ^ 2 + (y-b) ^ 2 = r ^ 2$

Where:

(a, b) is the center of the circumference

r is the radius

In this problem we have the equation of the following circumference, and we want to convert it to the standard form:

$x ^ 2 + y ^ 2 + 10x +21 = 0$

The first thing we must do to transform this equation into the standard form is to use the square completion technique.

The steps are shown below:

1. Group all the same variables:

$y ^ 2 + (x ^ 2 + 10x) = -21$

2. Take the coefficient that accompanies the variable x. In this case the coefficient is 10. Then, divide by 2 and the result elevate it to the square.

We have:

$\frac{10}{2} = 5\\\\(\frac{10}{2}) ^ 2 = 25$

3. Add on both sides of the equality the term obtained in the previous step:

$y ^ 2 + (x ^ 2 + 10x +25) = -21 +25\\\\y ^ 2 + (x ^ 2 + 10x +25) = 4$

4. Factor the resulting expression, and you will get:

$(x + 5) ^ 2 + y ^ 2 = 4$

Write the equation in the standard form:

$(x + 5) ^ 2 + (y-0) ^ 2 = 2 ^ 2$

Then, the center is the point (5, 0) and the radius is r = 2.

Observe the attached image

8 0

3 years ago

Read 2 more answers

-0.258 as a fraction

jeyben [28]

It is -129/500
I hope this is the answer you are looking for

5 0

3 years ago

Read 2 more answers

What does the graph sayyy

lorasvet [3.4K]

Answer:

it says x-intercepts, multiplicity, and factors. or ar you talking about the graph on the right? well be more specific next time

4 0

3 years ago

the distance in miles a family has traveled so far on their trip can be modeled by the equation y=0.6x - 75, where x is the numb

Andre45 [30]

Step-by-step explanation:

y = 0.6 x -75

201=0.6x-75

0.6x=276

x= 276/.6

=460

So, travelled for 460 minutes.

3 0

3 years ago

Determine the critical value or values for a one-mean z-test at the 10% significance level if the hypothesis test is left-tailed

Ugo [173]

Answer: 1.282

Step-by-step explanation:

Given : Significance level : $\alpha= 10\%=0.10$

The alternative hypothesis : $H_a:\mu$ , which is left tail-ed , it means the test is left -tailed test i.e. one -tailed test.

By using the standard normal distribution table , we have

The critical value for a one-mean z-test corresponding to the significance level 0.10 is 1.2815515 or approximately 1.282

Hence, the critical value or values for a one-mean z-test at the 10% significance level if the hypothesis test is left-tailed = 1.282

5 0

3 years ago