Answer:
21
Step-by-step explanation:
Translating a graph upwards just means adding or subtracting a value from the initial function.
So to push a graph up, you just add (+) the number of units onto the original function.
Answer:
B
Step-by-step explanation:
let base be b then height h = 2b + 4
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height ) , then
A =
b(2b + 4) ← distribute parenthesis
A = b² + 2b
When b = 16 , then
A = 16² + 2(16) = 256 + 32 = 288 in²
Answer:
radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here r² = 25 ( take the square root of both sides )
r =
= 5
∫ e^(3x)*(cosh(2x)dx
= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx
= ∫ [(e^(5x)+e^x)/2]dx
=e^(5x)/10+e^x/2+C
=(1/10)(e^(5x)+5e^x)+C