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xenn [34]
3 years ago
14

(x + 5)2 + (y - 7)2 = 36, its radius is

Mathematics
1 answer:
o-na [289]3 years ago
3 0
The answer would be 6

Steps: The equation of a circle is (x – h)² <span>+ (y – k)</span>²<span> = r</span>²; since we are trying to find the radius we are going to focus on the r². Now if you look the equation has the 36 filled in as the r² so r² = 36; we now have to isolate the r to get the radius, how do we get the radius? We Square root the r² and 36. After we get r = 6, The radius is 6 units
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Abby sold half of her comic books and then bought seventeen more. She now has 32. With how many did she begin?
Art [367]

Answer:

15 because 32 - 17 = 15

Step-by-step explanation:

3 0
3 years ago
Dana is playing a game where she loses 75 points every time she rolls an even number. She starts with 0 points. Then she rolls a
slavikrds [6]

Answer:

-375

Step-by-step explanation:

-75 * 5

= -375.

3 0
2 years ago
Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e
worty [1.4K]

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

3 0
3 years ago
What is the area of the triangle formed from (-2,2), (1,2) and (0,-6)
Aleks04 [339]

Answer:

I think it's 12

Step-by-step explanation:

Hope it helps!

5 0
2 years ago
Solve for x. −23(3x−4)+3x=56
labwork [276]

Answer:

x = 6/11

Step-by-step explanation:

−23(3x−4)+3x=56

Distribute

-69x + 92 +3x = 56

Combine like terms

-66x+92 = 56

Subtract 92 from each side

-66x+92-92 = 56-92

-66x =-36

Divide each side by -66

-66x/-66 = -36/-66

x = 6/11

7 0
2 years ago
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