Answer:
69.12ft
Step-by-step explanation:
9514 1404 393
Answer:
- domain: x < -2
- range: y > 1
Step-by-step explanation:
Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.
__
The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.
Answer:
27
Question:
Find
so that
is a solution to
.
Step-by-step explanation:
So we are asked to replace
with -14 and solve for
in the equation:
.
with
:


Add 42 on both sides:

Divide both sides by 2:
.
So the
-coordinate that corresponding to
is
.
Verify that:
is a point satisfying
.
Replace
with 27 and
with -14:


is true so our work must be right.
Answer:
13.3 ft
Step-by-step explanation:
We are being asked to find an unknown side length in a triangle with two given angles and the side between them. The law of sines is applicable, but we need to know the angle opposite the given side.
Angle M has a value that makes the sum of angles be 180°, so it is ...
∠M = 180° -61° -38° = 81°
The law of sines tells you the length of side MP is ...
MP = NP·sin(N)/sin(M) = (15 ft)·sin(61°)/sin(81°)
x = MP ≈ 13.3 ft
Answer: -2
Step-by-step explanation:
3x+2y=16
x+y=4 multiply by -2
-2x-2y=-8
3x+2y=16 ------a
-2x-2y=-8 -------b
Add equation a and b
(3x+-2x)+(2y+-2y) = 16+(-8)
x+0=8 (y has been eliminated)