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butalik [34]
3 years ago
14

the sum of two numbers is -4 and their difference is -10. find the numbers. (translate to a system of equations and solve)

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

The numbers are -7 and -3

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Please need help on this
artcher [175]

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation (x-h)^2 + (y-k)^2 = r^2 and is (h,k) from it. Notice h and k are the opposite value as in the equation.  

First write the equation in this form.  

x^2 + 8x + ( ?)+ y^2 - 14y + (?) + 56 = 0  

Complete the square with each variable to find what numbers should go in place of the question marks.  

(8/2)^2 = 4^2 = 16  

(-14/2)^2 = -7^2 = 49  

Add 16 and 49 to both sides of the equation.  

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So the center is (-4,7) and the radius is 3.

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