We have the area of the base of a triangular prism= a*b
the volume of triangular prism =a*b*c( where c is the height) so that 210=a*b*14 ==> 210= base area*14==> base area= 210/14
We are given a coordinate (4,16).
Where first coordinate is the value of x and second coordinate is the value of y for the function y=f(x).
We need to find the value of given point (4,16) for function y= 0.5f(x).
Here function f(x) is being multiplied by 0.5.
On multiplying 0.5 by y, it will effect the value of y only. It does not effect value of x . Because x value is still x. Only function f(x) is being multiplied by 0.5.
Therefore, y= 0.5f(4) = 0.5 * 16 = 8.
So, (4,8) is the point on the graph of y = 0.5f(x) corresponds to (4, 16).
Answer:
4x + 3y = 5
Step-by-step explanation:
Gradient = -9 -11/ 8 + 7
= -4/3
Equation of the line...
y = mx + c
y = -4/3(x + 7) + 11
Multiplying through by 3...
3y = -4x - 28 + 33
3y = -4x + 5
4x + 3y = 5
Answer:
- 3x³-6x²
- 3x²+x-2
- -16
Step-by-step explanation:
For 1: Multiply both functions together, expand, then simplify
(x-2)(3x²) = 3x³-6x²
For 2: Just add both functions together
For 3: Subtract both functions to get -3x²+x-2 and substitute x with -2
-3(-2)²-2-2 = -16
