Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation: first one goes to 2 second one goes to 0 and third one goes to 6 I said "get help" on khan academy
Answer:
y = 2^(x–2) + 3
Step-by-step explanation:
The equation above is the one that is graphed. You can pick it from the offered choices by recognizing that the horizontal asymptote on the graph is y=3. That is 3 units above the horizontal asymptote of the parent exponential function. Hence, you must have ...
y = (some exponential) +3
_____
Please note that the exponent indicator (^) and the grouping parentheses on the exponent are essential. Without those, the equation is that of the line y=2x+1, which is not what is graphed.
Answer:
Slope of the line segment PQ is 1/2.
Step-by-step explanation:
We are given with a line connecting two points P and Q.
The coordinates of P are (4,4) and the coordinates of Q are (-2,1).
Slope of line joining two points and
is given by the formula
Hence the slope of the line PQ is
Therefore correct option is 'C' that is 1/2.
Answer:
88 inches
Step-by-step explanation:
We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.