Answer:
(x -6)^2 +(y -3)^2 = 2
Step-by-step explanation:
The midpoint (C) is the center of the circle:
C = ((5, 4) +(7, 2))/2 = ((5+7)/2, (4+2)/2) = (6, 3)
A circle with center (h, k) that goes through point (a, b) can be written as ...
(x -h)^2 +(y -k) ^2 = (a -h)^2 +(b -k)^2
Using the values for this problem, we get ...
(x -6)^2 +(y -3)^2 = (5 -6)^2 +(4 -3)^2
(x -6)^2 +(y -3)^2 = 2
Alright, so we'd use the combinations with repetition formula, so we choose from 4 schools to distribute to and distribute 8 blackboards. It's then
( 8+4-1)!/8!(4-1)!=11!/(3!*8!)=165
For at least one blackboard, we first distribute 1 to each school and then have 4 blackboards left, getting (4+4-1)!/4!(4-1)!=7!/(4!*3!)=35
Answer:

Step-by-step explanation:
The division problem given to us is
.
To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is
.
We carry out the synthetic division as shown in the attachment.
The result of the synthetic division is 4 -27 167 -996
The first three terms are the coefficients of the quotient and the last term is the remainder.
Therefore the quotient is
and the remainder is
.
The dividend, the quotient and the divisor are written as

The correct answer is A
Answer:
D
Step-by-step explanation:
y<2
y<x+2
y>-1/4-3
if you plug in one of the points in the included grey area the equations should be true
Answer:
There are 43 days until christmas!!!!!
Step-by-step explanation: