Answer:
( x + 2 )² + ( y - 4 )² = 36
Step-by-step explanation:
Standard equation of a circle - ( x - h )² + ( y - k )² = r²
where r = radius and center is at ( h , k )
The given center is ( -2 , 4 )
Thus h = -2 and k = 4
and the given radius is 6
Thus, r = 6
that being said, we plug in the given values into the standard equation
( x - ( - 2 )² + ( y - 4 )² = 6²
Finally we simplify
In - ( -2 ) the two negative signs cancel out and it turns into + 2
6² = 36
The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36
Answer:
f(0)=g(0)
Step-by-step explanation:
The problem is asking for where the output (y value) of one function, f(x), matches the output of another function, g(x), otherwise called an intersection. You can see that the two lines intersect at 0 on the x axis in the graph, therefore f(0)=g(0) meaning the outputs of f(x) are the same as g(x) at x value 0.
Answer:
C. Greg weighs 180 pounds, and Justin weighs 165 pounds
Step-by-step explanation:
let G be the weight of Greg and J be the weight of Justin
G -15=J
G/2 +75=J
G =J+15 (1)
G+150=2J. (2)
If We substitute G by J+15 in equation (2) we will get:
G =J+15
J+15+150=2J
G =J+15
J+15+150=2J
G =J+15
J+165=2J
then J=165 and G=165+15=180
Answer:
Step-by-step explanation:
Let the initial number of people on the boat be x:
x - 26 - 22 = 74
x -48 = 74
x = 74 + 48
x = 122
Answered by G a u t h m a t h
Answer:
1. 8 hours 2. 12 pumps
Step-by-step explanation:
1. 80 ×10=800
there are 800 miles between abuja and lagos
800÷100=8
it will take 8 hours
2. with 3 pumps it takes 36 hours. you need to be 4 times quicker so you need 4 times more pumps.
4×3=12 pumps
