4 years ago

Write the following equation in standard form and show your work : x^2+y^2-22y+96=0

Mathematics

1 answer:

matrenka [14]4 years ago

8 0

Answer:

$x^2 + (y-11)^2 = 5$

Step-by-step explanation:

Completing the square gives us that

$x^2+y^2-22y+96=0\\x^2 + (y-11)^2 - 11^2 + 96 = 0\\x^2 + (y-11)^2 = 121 - 96\\x^2 + (y-11)^2 = 25\\x^2 + (y-11)^2 = 5$

Which is the standard form of a circle.

You might be interested in

Jack spends 1 2/5 as long on his homework as Jill. Last week, Jill spent 6 3/4 hours doing homework. How long did Jack spend doi

-BARSIC- [3]

6 3/4 hours = (6*60)+45 = 405 minutes
7/5 = 1,4
405 minutes * 1,4 = 567 minutes
= Jack spent 9 3/4 hours

8 0

3 years ago

The miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean of 33.8 mpg and a standard d

EleoNora [17]

Answer:

The probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

Step-by-step explanation:

Let the random variable <em>X</em> represent the miles-per-gallon rating of passenger cars.

It is provided that $X\sim N(\mu=33.8,\ \sigma^{2}=3.5^{2})$ .

Compute the probability that a randomly selected passenger car gets more than 37.3 mpg as follows:

$P(X>37.3)=P(\frac{X-\mu}{\sigma}>\frac{37.3-33.8}{3.5})$

$=P(Z>1)\\\\=1-P(Z$

Thus, the probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

7 0

3 years ago

Need help<br> will give brainly

RoseWind [281]

Answer:

I think it might be the fourth one, but I cant see it to well

Step-by-step explanation:

4 0

3 years ago

HOMES The McClarens sold their house in Orlando, Florida, for $300,000. They split the income evenly among their four children.

Solnce55 [7]

300,000/4
Answer is 75,000

4 0

3 years ago

If (x+1, 4) = (5, y-1), then what is the value of x and y?

zheka24 [161]

Answer:

Step-by-step explanation:

(x+1, 4) = (5, y-1)

Compare the x co ordinates and y co ordinates

x + 1 = 5 ; y-1 = 4

x = 5 - 1 ; y = 4 + 1

x = 4 ; y= 5

8 0

4 years ago