Answer:
2 (x - 10) (x + 10)
Step-by-step explanation:
Factor the following:
2 x^2 - 200
Factor 2 out of 2 x^2 - 200:
2 (x^2 - 100)
x^2 - 100 = x^2 - 10^2:
2 (x^2 - 10^2)
Factor the difference of two squares. x^2 - 10^2 = (x - 10) (x + 10):
Answer: 2 (x - 10) (x + 10)
The measures of complementary angles add up to 90 degrees. Angles A and B therefore add up to 90 degrees.
To find the value of x, set the sum of (the measures of) A and B to 90 (degrees), and solve algebraically.
m∠A + m∠B = 90°
(3x + 5)° + (2x - 15)° = 90°
5x - 10 = 90
5x = 100
x = 20
Then, plug the value of x back into each expression to find the measures of angles A and B.
m∠A = (3x + 5)°
m∠A = (3(20) + 5)°
m∠A = (60 + 5)°
m∠A = 65°
m∠B = (2x - 15)°
m∠B = (2(20) - 15)°
m∠B = (40 - 15)°
m∠B = 25°
You can check to make sure that the angles are complementary by adding them together. Their measures should equal to 90°.
65° + 25° = 90°
Answer:
The answer is C.
Step-by-step explanation:
B is the answer because section p is increasing
Answer:
a. Cosine is an even function
b. Sine is an odd function
c. cos(x) = sin(x + pi/2)
Step-by-step explanation:
See the plot attached.
a. In the figure it can be seen that, for example, cos(pi/2) = cos(-pi/2); therefore, cosine is even.
b. In the figure it can be seen that, for example, sin(pi/2) = 1; sin(-pi/2) = -1; therefore, sine is odd.
c. Function displacements along x-axis are made adding (or subtracting) values to x; i. e., f(x + a), where a is a constant, displace the function f(x) a steps to the left. It can be seen in the figure that sine is cosine but displaced pi/2 values to the right. So, sin(x + pi/2) will displace sine pi/2 values to the left, where cosine is placed.