a. The center of the circle will be the coordinate point of the marked point inside the circle.
center: (3,-5)
The radius is the distance between the center and any point on the circle.
radius: 4 units
b. standard form for circles: (x-h)²+(y-k)²=r² where (h,k) is the center
standard form: (x-3)²+(y+5)²=16
c. Simplify equation in standard form to get general form.
(x-3)²+(y+5)²=16
x²-6x+9+y²+10y+25=16
general form: x²+y²-6x+10y+18=0
Hope u find this useful!
Answer:
weeks or 
weeks
Step-by-step explanation:
To do this we can set up a proportion
This will tell us how many weeks are in 2/5 of a year
Let's evaluate this
We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below
weeks
The Vertex of f(x)=|5x|+2 is (0,2)
and vertex of f(x)=|5x|-2 is (0,-2)
Answer:
y=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−4(y−2)=12
Step 1: Simplify both sides of the equation.
−4(y−2)=12
(−4)(y)+(−4)(−2)=12(Distribute)
−4y+8=12
Step 2: Subtract 8 from both sides.
−4y+8−8=12−8
−4y=4
Step 3: Divide both sides by -4.
−4y
−4
=
4
−4
y=−1
Three possible answers are:
y = 2x-1
y = 5x-1
y = -3x-1
All of them have the same y intercept of -1. The slopes are the only thing that differ.
Any linear equation can be written in the form y = mx+b where
m = slope
b = y intercept
