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Vesna [10]
3 years ago
7

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

t.
x ²+ 4x + y ²− 6y = −4
Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0
Get into form
(x-h)²+(y-k)²=r²
center is (h,k) and radius is r

complete the square for each
(x²+4x)+(y²-6y)=-4
take 1/2 of each linear coefienet and square it
4/2=2, 2²=4
-6/2=-3, (-3)²=9
add that to both sides
(x²+4x)+4+(y²-6y)+9=-4+4+9
(x²+4x+4)+(y²-6y+9)=9
complete the squares
(x+2)²+(y-3)²=3²
(x-(-2))²+(y-3)²=3²

the center is (-2,3) and radius is 3
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What is the slopeOf a line that is perpendicular to a line who’s equation is 8y-5x=11
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first off, let's put 8y - 5x = 11, in a slope-intercept form, so we can see what's its slope

\bf 8y-5x=11\implies 8y=5x+11\implies y=\cfrac{5x+11}{8} \\\\\\ y=\stackrel{slope}{\cfrac{5}{8}}x+\cfrac{11}{8}

so the slope of this line is 5/8, well then

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{5}{8}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{8}{5}}\qquad \stackrel{negative~reciprocal}{-\cfrac{8}{5}}}

8 0
3 years ago
What it the inequality for this interval? (-00, 2] u (8,00)
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5 0
3 years ago
Permutations and combination question ^^
mario62 [17]

Answer:  22) A

<u>Step-by-step explanation:</u>

First, order doesn't matter so it is a Combination.

<em>In other words, it doesn't matter which person was chosen 1st, 2nd, 3rd, or 4th to bring food because they are all bringing "food".</em>

Next, If you are going to choose  person to 4 people to bring food out of a total of 4 + 3 + 1 = 8 people, you get → ₈C₄

And you are going to choose 3 people to bring decorations out the remaining 8 - 4 = 4 people, you get → ₄C₃

And you are going to choose 1 person to be the host out of the remaining 4 - 3 = 1 person, you get → ₁C₁

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3 years ago
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Vinvika [58]

Answer:

im listening

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Eight less than the quotient of x and 3
yKpoI14uk [10]
Quotient is basically the answer you get when you divide two numbers.
For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2. 

Quotient of x and 3 = \frac{x}{3}

Eight less than quotient of x and 3 is \frac{x}{3} - 8.

Hence, the answer is C.
6 0
2 years ago
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