Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
Answer:
No.
First, multiply 6 x 4 ($4 is the amount of money he makes from each sale).
6 x 4 = $24
If Lin's goal is $32, and he sells 6 boxes of popcorn for only $24, then he will not reach his goal in that specified range.
Answer:
A) all real numbers greater than or equal to 2
Domain: 
Step-by-step explanation:
The variable in the radical <em>x </em>cannot be less than 0 as that wouldn’t be defined. So, the maximum that <em>x </em>can be is 0, and 
. So, 0+2=2, and <em>y </em>is greater than or equal to 2.
Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.
Easy
when rock is in water, it takes up a certain volume, say x
so
initial+x=final volume
luckily we have final and inital
13.7ml+x=28.9ml
minus 13.7ml both sides
x=15.2ml
the volme of the rock is 15.2ml
2 angles are complementary if the sum of their measures is 90°.
For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.
Thus A and B are complementary means that m(A)=m(B)=90°:
(3x+5°) + (2x-15°) =90°
5x-10°=90°
5x=100°
x=20°
Thus
m(A)=3x+5°=3* 20°+5°=60°+5°=65°
m(B)=2x-15°=2*20°-15°=40°-15°=25°
