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laiz [17]
3 years ago
7

Please need help on this

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation (x-h)^2 + (y-k)^2 = r^2 and is (h,k) from it. Notice h and k are the opposite value as in the equation.  

First write the equation in this form.  

x^2 + 8x + ( ?)+ y^2 - 14y + (?) + 56 = 0  

Complete the square with each variable to find what numbers should go in place of the question marks.  

(8/2)^2 = 4^2 = 16  

(-14/2)^2 = -7^2 = 49  

Add 16 and 49 to both sides of the equation.  

x^2 + 8x + 16 + y^2 - 14y + 49 + 56 = 16 + 49\\(x+4)^2 + (y-7)^2 + 56 = 65\\(x+4)^2 + (y-7)^2 = 9  

So the center is (-4,7) and the radius is 3.

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6 0
2 years ago
Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFractin right-parenthesi
sladkih [1.3K]

The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).

<h3>What is the Point-slope form?</h3>

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

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we know that            

The equation of the line into point-slope form is equal to                        

y-y₁ = m(x-x₁)

             

we have          

(x₁, y₁) = (4, 1/3)

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substitute the given values                

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4 0
1 year ago
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3 years ago
What is 2x + 8y explained
SVEN [57.7K]

Answer:

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Step-by-step explanation:

Subtract 2x from both sides of the equation.

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3 0
3 years ago
show the sample space of a toss of two dice as a list denote the event of a sum of 3 or 6 or 9 on the list
Ratling [72]
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