Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
Answer:
total monthly payment is $973.03
Step-by-step explanation:
given data
costs = $175,000
down payment = 10%
house value paid = 1.2%
to find out
monthly payment for a 30 year i.e 360 months
solution
we consider here rate of interest for 30 year is 4.25% so monthly interst rate will be 
= 0.00375
so We have present value Ap = 0.9 ( 175000) = $157500
and the monthly escrow payment is
monthly escrow payment = 
× 0.012 × 175000
monthly escrow payment = $175
so monthly payment formula is
monthly payment = 
..................1
here r is rate and n is time period
so
monthly payment = 
monthly payment = 798.03
so the payment to the loan is $798.03 each month
and Then the total monthly payment is = $798.03 + $175
total monthly payment is $973.03
1/2(x+6)=2x
1/2x + 3 = 2x
x + 6 = 4x
3x = 6
x = 2
5-2x+7x-h
5-2(2)+7(2) = h
h = 5 - 4 + 14
h = 1 + 14
h = 15
Answer:
The two triangles are related by Side-Side-Side (SSS), so the triangles can be proven congruent.
Step-by-step explanation:
There are no angles that can be shown to be congruent to one another, so this eliminates all answer choices with angles (SSA, SAS, ASA, AAA, AAS).
This leaves you with either the HL (Hypotenuse-Leg) Theorem or SSS (Side-Side-Side) Theorem. We could claim that the triangles can be proven congruent by HL, however, we aren't exactly sure as to whether or not the triangles have a right angle. There is no indicator, and in this case, we cannot assume so.
This leaves you with the SSS Theorem.
