Answer:
<h3>2√3</h3>
Step-by-step explanation:
The standard equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the center of the circle
r is the radius of the circle
Given the equation (x - 7)^2 + (y + 13)^2 = 12
On comparing;
r² = 12
Take the square root of both sides
√r² = √12
r = √12
r = √4*3
r = 2√3
Hence the radius of the circle is 2√3
first, distribute -6 to (2b + 1), giving you -12b - 6, and then on the another side of the equation, distribute -2 to (5 + 4b) giving you, -10 - 8b. now we need to put our coefficients on one side so we will add 8b to each side of the equation, giving us -6 = -10 - 8b + 12b, then we will add 10 to both sides of the equation giving us, 10 -6 = -8b +12b, this gives u 4 = 4b. then, you would solve for b, which equals 1.
Answer:
If he has 45% of his cheak remaining we already have the remaining so we just to turn it into a fraction
First we put it over 100
<u>45</u>
100
Then we reduce it to the lowest terms
which would be
9/20
Slope intercept form means that you have to solve for y.
Subtract 5x from both sides
5x - 6y - 5x = 22 - 5x
= -6y = 22 - 5x
Then divide by -6
-6y/-6 = 22/-6 - 5x/-6
= y = -22/6 + 5x/6
You can reduce the fraction -22/6 to -11/3
y = -11/3 + 5x/6
Then swap the order of your terms so it looks nicer and you don't have a negative in front
y = 5x/6 - 11/3
