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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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(27x4 - 18x3 + 9x 2) = 3x<br> Answer ASAP
shepuryov [24]

Answer:

x = 24

Step-by-step explanation:

27 x 4 = 108

18 x 3 = 54

9 x 2 = 18

108 - 54 + 18 = 3x

72 = 3x

72/3 = x

24 = x

7 0
3 years ago
A landscaper is comparing the costs of potted plants from two nurseries. Nursery P charges $15 per plant plus a $50 delivery fee
photoshop1234 [79]

Answer:

The required number of plants is 10.

Step-by-step explanation:

Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.

If x number of plants that must be delivered for the total cost to be the same at both nurseries, then

15x + 50 = 20x

⇒ 5x = 50

⇒ x = 10

Therefore, the required number of plants is 10. (Answer)

4 0
3 years ago
Mr. Dunbar takes his wife out to dinner at Macados to celebrate the holidays. Their total bill was $48.36 but he had a coupon to
viktelen [127]

Answer:

$51.38 or $60.45

Step-by-step explanation:

$48.36 minus 15 percent is $41.10. If you're tipping the waitress 25 percent from that price, then it would be $51.38. If you're tipping the waitress 25 percent from the original price, it would be $60.45.

3 0
3 years ago
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.
Ivan

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It is the height

So:

A_ {b} = 8 * 4 = 32 \ in ^ 2\\h = 214 \ in

The volume of the prism is:

V = 32 * 214 = 6848 \ in ^ 3

Now, the volume of the cubes is:

V = (14) ^ 3 = 2744 \ in ^ 3

Thus, we divide and find the number of cubes to fill the prism:

n = \frac {6848 \ in ^ 3} {2744 \ in ^ 3}\\n = 2.5

ANswer:

n = 2.5

8 0
3 years ago
Can someone help me out ASAP and possible step by step
OlgaM077 [116]

Answer:

  49°

Step-by-step explanation:

The given information that BC=DC tells you triangle BCD is an isosceles triangle and that angle y is one of the two equal base angles. Then ...

  y + y + 82 = 180 . . . . . the sum of angle measures is 180 degrees

  2y = 98 . . . . subtract 82

  y = 49 . . . . . divide by 2

The measure of y is 49°.

8 0
3 years ago
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