Answer:
y = 36
Step-by-step explanation:
y = ax²
100 = a (5)² → 100 = 25a → a = 4
y = 4x²
x = 3 → y = 4(3)² = 36
Answer:
wow
Step-by-step explanation:
Answer:
The slope is = 11 The equation is y = 11x
Hope this helps!
Step-by-step explanation:
(1, 11 ) (2, 22)
22-11 / 2-1
11/1 = Slope
There is no "b" for this equation.
We are given the points
<span>(0,-4),(1,0),(2,2)
The standard form a quadratic function (in terms of x) is
y = Ax2 + Bx + C
Subsitute the points
-4 = 0 + 0 + C
C = -4
0 = A + B - 4
2 = 4A + 2B - 4
Solve for A and B
A = -1
B = 5
The function is
y = -x2 + 5x - 4</span>
Answer:
<em>The volume of the figure is 126 cubic cm</em>
Step-by-step explanation:
The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.
Calculate the first volume:
![V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3](https://tex.z-dn.net/?f=V_1%3D6~cm%5Ccdot%207~cm%5Ccdot%201~cm%3D%2042~cm%5E3)
![V_1= 42~cm^3](https://tex.z-dn.net/?f=V_1%3D%2042~cm%5E3)
Calculate the second volume:
![V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3](https://tex.z-dn.net/?f=V_2%3D3~cm%5Ccdot%207~cm%5Ccdot%204~cm%3D%2084~cm%5E3)
![V_2= 84~cm^3](https://tex.z-dn.net/?f=V_2%3D%2084~cm%5E3)
The total volume of the figure is the sum of both volumes:
![V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3](https://tex.z-dn.net/?f=V_t%3DV_1%2BV_2%3D42~cm%5E3%2B84~cm%5E3%3D126~cm%5E3)
The volume of the figure is 126 cubic cm