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horsena [70]
3 years ago
7

14.

Mathematics
1 answer:
romanna [79]3 years ago
5 0
1. C
2.D
3.A
4.B
Hope this helps!
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PLS HELP ASAP
Contact [7]

Answers:

Equation is (x+1)^2 + (y+2)^2 = 25

Center is (-1, -2)

Radius = 5

===========================================

Work Shown:

x^2+2x+y^2+4y=20\\\\(x^2+2x)+(y^2+4y)=20\\\\(x^2+2x+1)+(y^2+4y)=20+1\\\\(x^2+2x+1)+(y^2+4y+4)=20+1+4\\\\(x+1)^2 + (y+2)^2 = 25\\\\

center = (h,k) = (-1,-2)

radius = 5

-----------------------------

Explanation:

I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.

Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2

The last equation is in the form (x-h)^2 + (y-k)^2 = r^2

We can think of x+1 as x - (-1) to show that h = -1

Similarly, y+2 = y-(-2) = y-k to show that k = -2

The center is (h,k) = (-1,-2)

The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.

3 0
2 years ago
Mike went to a football game with his family. They bought 5 boxes of popcorn, and 3 programs and spent $41. Sean’s family went t
Elza [17]
5 x + 3 y = 41   / * 3
3 x + 2 y = 26  / * ( - 5 )
-----------------------------
  15 x + 9 y  =  123
+
- 15 x - 10 y = - 130
---------------------------
          - y = - 7   / * ( - 1 )
            y = 7
Answer:
Each program costs    D )  $7
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X=1 is the answer hope this helps
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What is the slope of (-13,8) and (3,12)
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Slope = 1/4

Step-by-step explanation:

Y2 - Y1 / X2 - X1

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Suzanne bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples t
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