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3 years ago

What is the equation of a circle with center (-4,7) radius 3?

Mathematics

2 answers:

miv72 [106K]3 years ago

7 0

Answer:

a. (x + 4)² + (y – 7)² = 3²

Step-by-step explanation:

General equation for a circle is:

(x – h)² + (y – k)² = r²

h and k are the center (h, k), and r is the radius.

They want a center of (-4, 7) so h=-4 and k=7

They want a radius of 3 so r=3

plug it into the equation.

(x – h)² + (y – k)² = r²

(x – (-4))² + (y – (7))² = (3)²

(x + 4)² + (y – 7)² = 3²

GuDViN [60]3 years ago

7 0

Answer: ( x + 4 )² + ( y - 7 )² = 3²

Step-by-step explanation:

Formula for the equation of a circle centre (a, b), radius r

= ( x - a )² + ( y - b )² = r²--------------------------------------------------------1

a = -4 and b = 7 while r = 3

Therefore substitute for a , b and r in the equation 1 above to get the equation of the circle.

( x - (-4 ) )² + ( y - 7 )² = 3²

open the brackets through direct or indirect methods gives

( x + 4 )² + ( y - 7 )² = 9

x² + 8x + 16 + y² - 14y + 49 = 9

x² + y² + 8x - 14y + 16 + 49 - 9 = 0

x² + y² + 8x - 14 y + 116 = 0

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3 years ago

The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).

Alex787 [66]

Answer:

one real

Answer: 1

Step-by-step explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

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2 years ago

Lucia is wrapping packages that are in the shape of a triangular prism. The net of the prism is shown below: ( Help me answer th

solniwko [45]

Answer:

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Step-by-step explanation:

Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.

One prism:

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The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,

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3 years ago

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kherson [118]

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Step-by-step explanation:

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