Answer:
(-9,6)
Step-by-step explanation:
The general equation of a circle is given as:
x²+y²+2gx+2fy+c = 0
The centre of the circle is (-g,-f)
Given the equation of the circle
(x+9)² + (y-6)² = 10²
First we need to expand and write it in the general form. On expansion:
x²+18x+81+y²-12y+36 = 100
Collecting like terms
x²+y²+18x-12y+81+36-100 = 0
x²+y²+18x-12y+17 = 0
Comparing to the general equation
2gx = 18x
g = 9
2fy = -12
f = -6
The center of the circle = (-g, -f)
= (-9,-(-6))
= (-9, 6)
He will have enough money in his bank to avoid an insufficient fund charge because when you add 250+36.21+94.30 it equals 380.51. He had 386.49 in his account before he withdrawal that money, so he still had money in his account when he got money out.
First off, let's take a look at what these numbers are:
Real numbers: It can be any numbers,both rational and irrational.
Natural numbers: The number has to be integer and positive.
Integers: A number without fraction or demical place.
Whole number: The number has to be natural and cannot be negative.
Therefore, as 12 is a positive number with no demical place or fraction, it is real numbers,integers, whole numbers, and natural numbers.
Hope it helps!
Answer:
98
Step-by-step explanation:
180- 122 = 58
58 + 24= 82
180- 82= 98