x = r sin θ cos Ф
x² = r² sin² θ cos² Ф
y = r sin θ sin Ф
y² = r² sin² θ sin² Ф
z = r cos θ
z² = r² cos² θ
x² + y² + z²
= r² sin² θ cos² Ф + r² sin² θ sin² Ф + r² cos² θ
= r² sin² θ (cos² Ф + sin² Ф) + r² cos² θ
= r² sin² θ + r² cos² θ
= r² (sin² θ + cos² θ)
= r² √
The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.
<h3>
Right triangles </h3>
Right triangles have a pair of perpendicular lines
Coordinates
The coordinates are given as:
- D = (-2,-1)
- E = (-2,2)
- F = (0,0)
<h3>Slopes</h3>
Start by calculating the slopes of lines DF and EF using:

So, we have:


Also, we have:



For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.
i.e.

By comparison, the slopes of both lines are not opposite reciprocals.
Hence, the true statement is (c)
Read more about right triangles at:
brainly.com/question/17972372
-13, 3.48, 12, 103 .................
Answer:
B. F(x) =X-4/11
Step-by-step explanation:
We are given the inverse function;
f^(-1)(x) = x + 4/11
Thus means, x was replaced with y and vise versa. Thus;
x = y + 4/11
Lets make y the subject;
y = x - 4/11
Thus,in inverse of a function we replace y with f(x) for the original function or f^(1)(x) for the inverse.
Thus, putting f(x) for y gives;
f(x) = x - 4/11
Answer:
- the way its set up its kind of confusing
Step-by-step explanation: