Answer:
2x - 5 if x ≤ 2
f(-1) = -7
Step-by-step explanation:
x ≤ 2 = (-1) ≤ 2
x > 2 = (-1) > 2
2x - 5
2(-1) - 5
-2 - 5
-7
Answer:
x=36
Step-by-step explanation:
So, lets go over what we know:
16 is equal to 4/9ths of x.
As a equation, this looks like:

We can begin to solve for x by multiplying both sides by the denominator, 9, which gets us:

=

Then we can divide by the coefficent of x, which is 4, to get our answer:

=

This is our answer! Hope this helps! :3
Answer:
The answer to your question is 1 = 69°
Step-by-step explanation:
To solve this problem remember that the sum of the internal angles in a triangle equals 180°.
Let the third angle of the triangle be x.
39° + 30° + x = 180
Solve for x
x = 180 - 39 - 30
x = 111°
Angle x and angle 1 are supplementary so their sum equals 180°.
111° + 1 = 180
1 = 180 - 111
1 = 69°
Answer:
y = sin(x- pi/2)
Step-by-step explanation:
Please see the attached image to see your graphs.
By simple inspection we can see that the sine is shifted pi/2 to the right.
We know this because sines are periodic functions with a period T = 2*pi
We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.
And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.
Answer:
The measured side is not shown, so i will answer in a general way.
A cube is a 3-dimensional object with 6 square faces.
You know that all the sides of a square have the same length, then is the same for the cube.
To calculate the volume of a cube, we start with the area of the base.
The base is a square of sidelength L (Suppose that L is the length of the measured side)
The area of the base is:
A = L^2.
To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).
And the height of the cube is also L.
Then the volume is:
V = L*a = L^3