Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
Answer:
$97.20
Step-by-step explanation:
you make the 8% into a decimal by moving the decimal to places to the left.
8%=0.08, Then you multiply that by the whole number of 90 dollars.
0.08 x 90 = $97.20
A line perpendicular to y = -2x + 5 will have an equation in the form of:
y = (1/2)x + b
Since the graph must intersect (-2,9), we plug in this point to solve for b.
9 = (1/2)*(-2) + b
9 = -1 + b
10 = b
So the equation is:
y = (1/2)x + 10
The answer is A.
Answer:
I think the output can be any numbers because you don't have the function to put -8 in, so I can't identify the output exactly is.
Step-by-step explanation:
Answer:
(0 ; -3)
Step-by-step explanation:
The y-intercept is where the line touches the y axis meaning that x is 0.