# Find the center and radius for the circle, given the equation: X^2 + Y^2 + 4x - 10y = 7

Answer: Complete the squaer to get into form
(x-h)²+(y-k)²=r²
where the center is (h,k) and the radius is r
so

group x and y terms together
(x²+4x)+(y²-10y)=7
take 1/2 of each coefient and square it
4/2=2, 2²=4
-10/2=-5, (-5)²=25
(x²+4x)+(y²-10y)+4+25=7+4+25
(x²+4x+4)+(y²-10y+25)=36
factor perfect squares
(x+2)²+(y-5)²=36
convert to the form
(x-(-2))²+(y-5)²=6²
center is (-2,5) and radius is 6

## Related Questions

MR. and ms Dorsey and their 3 children are flying to springfield. the cost of each ticket is \$179. Estimate how much the tickets will cost. then find the exact cost of the tickets.

The exact amount of money for the tickets are \$895.00. You received this answer by multiplying 179 X the 3 children and the two adults.
Estimate: 900
exact: 895

will the standard form 3.2 x 10 -4 be more or less than 1 Explain what effect the negative exponent has

First thing you got to do is solve the notation:

3.2×10^-4
=.000032

Its going to be lesser because anything that is get twice is less than one what's just say that...

1.2×10-2
=0012 so its going to be smaller than 1

A circular piece of metal has a radius of 3.5m a metal sales for \$3.25 per meter squared what is the total cost of a circular piece of metal use 3.14 for pie

Step-by-step explanation:

this is wat i got plz tell me if wrong or right

Vicky and sarah have a total of 53 magnets on the inside of their lockers. Vicky has 4 fewer than twice as many as sarah. How many magnets does vicky have on her locker?

Step-by-step explanation: 53x2=106 and 106-4 is 102

Miss Krin has \$300 deducted from her checking account every month for her car payment she also has \$150 deducted every month for her insurance after one year how much do these payments change her checking account balance? Explain how you found your answer

Did the question mention what her current checking account balance was ?

so first you have to find an equation in that case the equation is -300x-150x then plug in 12 instead of and solve don't forget to add the negative sign next to your answer or else it will be wrong

Original price:\$29.99;markdown: 33 1/3%
Find the retail price

Retail Price of the item is \$ 19.99 (approx.)

Step-by-step explanation:

Given:

Original Price of an item = \$ 29.99

Markdown Percentage = % = %

We need to find: Retail Price

We know that Retail price = Original Price - Markdown amount

Markdown amount =

=

=

= \$ 10 (approx.)

So, Retail price = 29.99 - 10 = \$ 19.99

Therefore, Retail Price of the item is \$ 19.99 (approx.)

33.3%, move the decimal to the left twice to make it easier. then multiply 29.99 by .333. take that and subtract it from 29.99. I got 20, I'm not sure if that's right though

Justin bought some yarn from his favorite craft store. He can make one scarf with 3/5 of a ball of yarn. If he purchases 15 balls of yarn, how many scarves Can he make

He can make 25 scarves from 15 balls of yarn.

Step-by-step explanation:

Given,

Yarn used for one scarf = of a ball

Yarn purchased = 15 balls

Let,

x be the number of scarves.

Yarn used for one scarf*number of scarves = Yarn purchased

Multiplying both sides by

He can make 25 scarves from 15 balls of yarn.

Keywords: fraction, multiplication

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Step-by-step explanation:

Put these fractions from smallest to highest 1 3/6 , 6/5 ,1 1/3 , 5/4

Its 6/5,5/4, 1 1/3, 1 3/6.... 6/5 is less than 5/4
5/4,6/5,1 1/3 ,1 3/6 this has to be it

5x-4y-6z = -3
X-3y+z=-1
-3x-6y+7z=1