Answer:
Step-by-step explanation:
<u>Equation of a Circle</u>
A circle of radius r and centered on the point (h,k) can be expressed by the equation
We are given the equation of a circle as
Note we have corrected it by adding the square to the y. Simplify by 3
Complete squares and rearrange:
We can see that, if r=4, then
Or, equivalently
There are two solutions for :
Keeping the positive solution, as required:
Answer:
(-9.5, -4)
Step-by-step explanation:
Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:
.
Given two endpoints of the original segment
→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]
Along with the ratio of the two partitioned segments
→ 1 to 3 = 1:3 [a:b]
Formed by the point that partitions the original segment to create the two partitioned ones
→ (x?, y?)
We can apply this formula and understand how it was derived to figure out where the point of partition is.
Here is the substitution:
x₁ = -10
y₁ = -8
x₂ = -8
y₂ = 8
a = 1
b = 3
. →
→
→
→
→
→
→
**
Now the reason why this