Hello :
<span>the parabola's equation is : f(x) = a(x+3)²-1
</span><span>the coefficient of the squared expression in the parabola's equation is : a
but ; f(4) = 0
0 = a(4+3)²-1
49a-1=0.....a=1/49
f(x) = 1/49(x-3)²-2</span>
Answer:
27 in²
Step-by-step explanation:
The area (A) is calculated as
A = πr² ( r is the radius ) , then
A = π × 3² = 3 × 9 = 27 in²
Just do 47+118 and it equals 165. Jorge started with 165 tickets.
Answer:
1 × 10^(-5)
Step-by-step explanation:
Answer:
one solution, no solution, infinitely many solutions
Step-by-step explanation:
I rearranged the first equation into x=6-2y
plug that into the second equation
2(6-2y)-3y=26
12-4y-3y=26
12-7y=26
-7y=14
y=-2
Then you plug that into one of the equations
x+2(-2)=6
x-4=6
x=10
The solution to the first system is (10,-2)
the second system already has one equation as something equal to a single variable so you just plug that into the other one
4x-2(2x-4)=-6
4x -4x +8 =-6
8=-6
this is a false statement so the system of equation has no solution
Lastly I rearranged the first equation into y=2x-4 and then plug that in
6x-3(2x-4)=12
6x-6x+12=12
12=12
this statement is true so the system of equations has infinite solutions