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BartSMP [9]
4 years ago
14

Find the center and radius of the circle with equation (x - 6)2 + (y + 5)2 = 9. center (6,-5); radius 9 center (-6, 5); radius 3

C center (6, -5); radius 3 center (-6, 5); radius 9
Mathematics
1 answer:
Firdavs [7]4 years ago
7 0

Answer:

center (6, -5) radius 3

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center of the circle and r is the radius.

(x − 6)² + (y + 5)² = 9

The center is (6, -5) and the radius is 3.

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Your family of four has a 6 GB data limit each month. You use twice as much data as your sister, half as much data as your fathe
Svetllana [295]
Let your monthly data use be represented by X
Then:
- Your sister's use is 1/2X (half of your usage)
- Your father's use is 2X (twice as much as you)
- Your mother's use is 4X (four times as much as you)

The total amount of GB use in your family can therefore be represented by
\frac{1}{2} x + x + 2x + 4x = 7 \frac{1}{2} x
This total GB use equals the limit of 6GB per month, so
7 \frac{1}{2}x = 6
Divide by 7.5
x = 0.8

Hence, you use 0.8 GB per month
- Your sister's use is 1/2 * 0.8 = 0.4GB (half of your usage)
- Your father's use is 2 * 0.8 = 1.6GB (twice as much as you)
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3 years ago
Here is a picture of my rabbit, her name is Bianca. Have a beautiful day :)
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Step-by-step explanation:

3 0
3 years ago
Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). -5 with multiplicity 3 5 with multiplicity 3 -9
faust18 [17]

Answer:

  -5, multiplicity 3; +9, multiplicity 2; -1

Step-by-step explanation:

The roots of f(x) are those values of x that make the factors be zero. For a factor of x-a, the root is x=a, because a-a=0. If the factor appears n times, then the root has multiplicity n.

f(x) = (x+5)^3(x-9)^2(x+1) has roots ...

  • -5 with multiplicity 3
  • +9 with multiplicity 2
  • -1
4 0
3 years ago
Plz help i give brainliest and points
Harlamova29_29 [7]

Answer:

b) 1 / 4

c) -3

Step-by-step explanation:

b) line passing through points (0,-1) (4,0)

slope = (y2 - y1) / (x2 - x1)

= (0 - (-1) ) / (4 - 0)

= 1 / 4

c) line passing through points (-1,2) (0, -1)

slope = (y2 - y1) / (x2 - x1)

= (-1 - 2) / (0 - (-1) )

= -3 / 1

= -3

8 0
3 years ago
The sum of two consecutive odd integers is 72 what are the integers
Yakvenalex [24]
The answer would be x + x + 2 = 72. Combine like terms so that 2x + 2 = 72. 2x = 70 and x = 35.
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4 years ago
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