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drek231 [11]
3 years ago
11

Theo had a balance of -4 in his savings account. After making a deposit , he has $25 in his account. What is the overall change

to his account?
Mathematics
2 answers:
love history [14]3 years ago
6 0

$29 dollars is the overall change in his account. The reason that this is correct is because if you make a number line -4 is exactly 29 units away from 25.
garri49 [273]3 years ago
4 0

Answer:

The overall change of his account is $29.

Step-by-step explanation:

This is a case of addition problem, Theo balance is $-4, the did a deposit and have $25 in his account, so the overall change of his account will be:

Overall=25-(-4)=29

The overall change of his account is $29.

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Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.
Vedmedyk [2.9K]
We know that
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(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

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4 0
3 years ago
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