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Maru [420]
3 years ago
12

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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igomit [66]

Answer: x=2  y=18

Step-by-step explanation

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2 years ago
The cereal box has a volume of 432 in if the base has dimensions of 2 in by 12 in what is the height of the box
OlgaM077 [116]

Answer:

Height of the cereal box = 18 in.

Step-by-step explanation:

A cereal box is in the shape of a cuboid.

And volume of a cuboid is represented by the expression,

Volume = Length × Width × Height

It's  given that volume of the box = 432 in³

Length of the base = 2 in.

Width of the base = 12 in

By substituting these values in the expression,

432 = 2 × 12 × h

h = \frac{432}{24}

h = 18 in.

Therefore, height of the cereal box is 18 in.

4 0
2 years ago
What would be the future value of a savings account started with $675, earning 9 percent (compounded annually) after 7 years? (?
gizmo_the_mogwai [7]
The formula is
A=p (1+r)^t
A future value?
P present value 675
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T time 7 years
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5 0
3 years ago
A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a
frez [133]
We will use the Pythagorean theorem:
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4 0
3 years ago
Justin is asked to solve the following system of linear equations using the elimination method.
romanna [79]

Alright, lets get started.

Justin is asked to solve the linear equations using elimination method.

By using elimination method means we have to multiply some numbers in our given equations in such a way that the co-efficient of x or y become same in both equations so that we could add or subtract them to cancel one of the term either x or y.

So, given equations are :

5x - 12 = 3

-20x + 14 y = 13

See we have 5x in first equation and -20x in second equation.

So, we try to change 5x into 20 x by multiplying it with 4, both of the equations will have 20 x in common

Lets multiply 4 in first equation

4 * (5x-12y) = 4 * 3

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Now both equations could be added and 20 x will be cancelled out and we could easily find the value of y then solve for x.

So, Justin should try to change 5 so that it will be cancels, so option B  :  Answer

Hope it will help :)


3 0
3 years ago
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