Answer:
p² -16pq + 36q²
Step-by-step explanation:
Given
(-
p + 6q)²
= (-
p + 6q)(-
p + 6q)
Each term in the second factor is multiplied by each term in the first factor, that is
-
p(-
p + 6q) + 6q(-
p + 6q)
=
p² - 8pq - 8pq + 36q² ← collect like terms
=
p² - 16pq + 36q²
Answer:option A is the correct answer.
Step-by-step explanation:
The given triangle UVW is a right angle triangle. This is because one of its angles is 90 degrees. The sum of the two other angles is 180. To determine Cos U, we will apply trigonometric ratio.
Cos U = adjacent side/ hypotenuse.
Looking at the triangle with C as the reference angle,
Adjacent side = 12
Hypotenuse( always the longest side of the triangle) = 13
Therefore,
Cos U = 12/13
Answer:
6(3x - 5) + 2(3x - 5) - 8(3x - 5) = 0
Step-by-step explanation:
<u>Answer:</u>
or 
<u>Step-by-step explanation:</u>
We are given the following function of x and we are to find the value of
:

Substituting the given value (7) in the above function to get:





or 
Answer:
8.95feet
Step-by-step explanation:
The set up is a right angled triangle where;
The camera's horizontal distance from the focus point = 26feet = Adjacent;
The height of the camera above the floor = Opposite = x
Angle of elevation = 19°
According to TOA in trig identity;
Tan theta = opp/adj
Tan 19 = x/26
x = 26tan 19
x = 26(0.3443)
X = 8.95feet
Hence the camera is placed at a height of 8.95feet above the floor