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zalisa [80]
3 years ago
13

Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

9514 1404 393

Answer:

  • (x -3)^2 +(y -5)^2 = 9
  • x^2 +y^2 -6x -10y +25 = 0

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

For radius 3 and center (3, 5), this is ...

  (x -3)^2 +(y -5)^2 = 9 . . . . standard form equation

Expanding this and subtracting the constant on the right gives ...

  x^2 -6x +9 +y^2 -10y +25 -9 = 0

  x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation

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Please help I am doing a quiz. solve the equation -5m = -20.
BaLLatris [955]

Answer:

(d) m = 4

Step-by-step explanation:

-5m = -20 (divide by -5)

m = 4

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6 0
3 years ago
Harry Potter has a large amount of money in his vault at Gringotts. He wants to use some of it to buy his friends new broomstick
lianna [129]

Answer:

Domain is 8 to 15 broomsticks

Range is 1,200 to 2,250 Galleons

Step-by-step explanation:

Here, when we talk of the domain, we are simply referring to the range of values of the number of broomsticks to be bought which is between 8 and 15

When we talk of the range, we are talking of the amount these broomsticks will cost

The cost for 8 broomsticks will be 8 * 150 = 1,200 Galleons

15 broomsticks will cost 15 * 150 = 2,250 Galleons

The range here will thus be 1,200 Galleons to 2,250 Galleons

7 0
3 years ago
Read 2 more answers
Three arithmetic means between 3 and -13
Mkey [24]
What exactly are you trying to figure out
5 0
3 years ago
What information do you need to find the area of a triangle using trigonometry?
SCORPION-xisa [38]
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8 0
4 years ago
Complete the square to transform the quadratic equation into the form
faltersainse [42]

The square of a binomial is written like

(x\pm a)^2 = x^2\pm 2ax + a^2

In your case, you have 2ax=-8x, which implies a=-4

So, we want to write

(x-4)^2 = x^2-8x+16

But our left hand side is

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If we add 26 to both sides, we have

x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44

7 0
4 years ago
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