Answer:
Option 4: x^2+y^2 = 52
Step-by-step explanation:
Given
Centre at origin
Point on circle = (-4, -6)
The distance between origin and point on circle will be the radius of the circle
So,

As the center is at origin the standard equation will be:

Putting the value of r

Hence, last option i.e. Option 4 is correct ..
Answer:
5
Step-by-step explanation:
the absolute value of -5 is 5
Answer:1157.53
Step-by-step explanation:
Equation: 4×pi×r squared
Radius is half of diameter so 19.2÷2=9.6
4×3.14×9.6squared=1157.53
To find slope given two points, there is a formula you can use: (y2-y1)/(x2-x1). Y2 stands for the second y coordinate and y1 stands for the first y coordinate. The same logic applies to the x's. Let's assume that (3, -2) is x1, y1 and (4,7) is x2, y2. Let's plug them into the formula.
(7-(-2))/(4-3).
7-(-2)=9 for total y value.
4-3=1 for the x value.
Now we divide them.
9/1=9. 9=m. M is the variable commonly used for slope. Hope this helped!
Answer:
-12
Step-by-step explanation:
x = 12-3a
When a=8:
x = 12-3(8)
x = 12 - 24
x = -12