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blagie [28]
3 years ago
15

Find the center and radius of the circle with the equation x^2 + y^2+8x-4y=-11

Mathematics
2 answers:
S_A_V [24]3 years ago
8 0
x^2 + y^2+8x-4y=-11 \\ \\ x^2+8x + y^2 -4y =-11\\ \\ (x^2+8x) + ( y^2 -4y) =-11\\ \\(x^2+8x+16) + ( y^2 -4y+4)-16-4 =-11 \\ \\(x+4)^2+(y-2)^2-20=-11

(x+4)^2+(y-2)^2 =-11+20\\ \\(x+4)^2+(y-2)^2 =9 \\ \\x+4=0 \ \ and \ \ y-2 =0 \\ \\ x=-4 \ \ and \ \ y=2 \\ \\ So \ the \ center \ of \ the \ circle \ is (-4, 2)

The \ radius \ of \ the \ circle \ is \ the \ square \ root \ of \ the \ right \\ \\ side \ of \ the \ equation \ for \ this \ circle. \\ \\ So\ the \ radius \ of \ this \ circle \ is \ \sqrt{9} \ so \ the \ radius \ of \ the \ circle \ is \ 3


hoa [83]3 years ago
5 0
X^2+8x+16+y^2-4y+4=-11+16+4
[x+4]^2+[y-2]^2=9
radius is 3 and center is [-4,2]
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Pleaae help is for study
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I think it's B. Because he spends his 300 dollars so he would have to subtract it will all the money he has spent.
4 0
3 years ago
B(n)=−4−2(n−1)<br> What's the 12th term in the sequence?
marysya [2.9K]

The 12th term in the sequence is -26.

Given,

B (n) = -4 – 2(n – 1)

We have to find the 12th term in the sequence:

To find the nth term in an arithmetic sequence:

An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.

Here,

First term, a = -4

Common difference, d = -2

nth term = 12

Now, let’s find 12th term

B(n) = -4 -2(n – 1)

B(12) = -4 – 2(12 – 1)

B(12) = -4 -2(11)

B(12) = -4 -22

B(12) = -26

That is, the 12th term in the sequence is -26.

Learn more about arithmetic sequence here:

brainly.com/question/11570734

#SPJ1

8 0
1 year ago
Max's car holds 18 gallons of gasoline. Driving on the highway, the car uses approximately 2 gallons per hour. Let h represent t
Mice21 [21]
Y= 18 gallons-2(h)
y is what you're trying to find out and since there are 18 gallons in the tank after every hour you would have 2 less gallons. So, you can multiply how many hours he's been driving by the 2 gallons and subtract it from 18


3 0
3 years ago
Simplify: |5.74 + 2.89| – |16.20 + 41.32|
Charra [1.4K]

Answer:

-48.89

Step-by-step explanation:

|5.74 + 2.89| – |16.20 + 41.32

|8.63| – |57.52|

= - 48.89

7 0
3 years ago
Find the product 6,372×75
saw5 [17]
477900 there you go use a calculator next time ;)
7 0
3 years ago
Read 2 more answers
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