Answer:
D) 2x²+4x-30
Step-by-step explanation:
You would multiply x and 2x; x and -6; 5 and 2x; 5 and -6
(x)(2x) = 2x²
(x)(-6) = -6x
(5)(2x) = 10x
(5)(-6) = -30
Now just put it back in the order that it was listed in the equation starting with (x)(2x)
This would give you 2x²-6x+10x-30
Simplify even further to get 2x²+4x-30
Answer: shifted by 3*pi/2 units to the right.
Step-by-step explanation:
Here we have:
y = sin(x - 3*pi/2)
now, you need to remember this:
if we have y = f(x)
then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).
If A is negative, the shift is to the left.
Then in this case, we have:
sin(x) -----> sin( x - 3*pi/2)
A = 3*pi/2
Then we have the graph shifted by 3*pi/2 units to the right.
Because of the measurements, no but if you notice closely teh shape looks translated or a reflection
Applying the centroid theorem of a triangle, the length of CG is: 26.
<em><u>Recall:</u></em>
- Medians join the vertices to the midpoint of the opposite sides of a triangle.
- The center that all the three medians intersect at is called the centroid.
- Based on the centroid theorem, the distant from the centroid to the vertex = 2/3 of the median length.
Triangle ABC is shown in the image attached below. G is the centroid.
CF = 39 (median)
CG = 2/3(CF) ---> Centroid Theorem.
CG = 2/3(39)
CG = 26
Therefore, applying the centroid theorem of a triangle, the length of CG is: 26.
Learn more about centroid theorem on:
brainly.com/question/20627009
Answer:
45
Step-by-step explanation:
To find the number you just add 6 to 39 which gets you 45.
