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blsea [12.9K]
3 years ago
10

A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l

ength of the radius?
Mathematics
1 answer:
inn [45]3 years ago
6 0
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

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Lol i need help again plzz
Len [333]
X would equal 81 because the square root of 81 is 9.

9 x 9 = 81
7 0
3 years ago
Consider the triangles shown.
Sergeu [11.5K]
D because it’s congruent
7 0
2 years ago
(5 points) An urn contains two blue balls denoted by B1 and B2, and three white balls denoted by W1, W2 and W3. One ball is draw
never [62]

Answer:

The probability of the event that first ball that is drawn is blue  is \frac 25.

Step-by-step explanation:

Probability:

If S is is an sample space in which all outcomes are equally likely and E is an event in S, then the probability of E,denoted P(E) is

P(E)=\frac{\textrm{The number of outcomes E}}{\textrm{The total number outcomes of S}}

Given that,

An urn contains two balls B₁ and  B₂ which are blue in color and W₁,W₂ and W₃ which are white in color.

Total number of ball =(2+3) =5

The number ways of selection 2 ball out of 5 ball is

=5²

=25

Total outcomes = 25

List of all outcomes in the event that the first ball that is drawn is blue are

B₁B₁ , B₁B₂ , B₁W₁ , B₁W₂ , B₁W₃ , B₂B₁ , B₂B₂ ,  B₂W₁ , B₂W₂ , B₂W₃

The number of event that the first ball that is drawn is blue is

=10.

The probability of the event that first ball that is drawn is blue  is

=\frac{10}{25}

=\frac25

3 0
3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.
olga55 [171]
You plug in the point into each equation to see if the answer comes out equal. Such as the first one, so you have y=-3/4x+1. So you plug in the -4 for the x then plug in the -2 for y. So you get -2=1.1875, as you see both sides don't add up. As you progress in Algebra I'm guessing that you're in, you'll progress as the year goes on. So your answers are 3x-4y=-4 and y+2=3/4(x+4). 
4 0
3 years ago
Read 2 more answers
Can I get the answer to this?
zubka84 [21]

m<JKL=45°

Please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

6 0
3 years ago
Read 2 more answers
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