Answer:
5
Step-by-step explanation:
d= √(5-1)^2+(1-4)^2
d= √4^2+(-3)^2
d= √16+9
d=√25
d=5
Problem OneSin(90 + q) = sin(90)*cos(q) + sin(q)*cos(90)
sin(90 + q) = 1 * cos(q) + sin(q)*0
sin(90 + q) = cos(q)
You can elimate anything beginning with Cos
You can also eliminate the sin function with a minus between it.
Problem 2Sin(x) = 1/csc(x) That makes C and D incorrect.
Correct answer has to be A. Since this is a multiple choice question you can't qualify the answer, but there are some points that exhibit questionable behavior, like 2

*f*t = 0 for example. The function becomes undefined.
Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 12
Answer:
x=4
Step-by-step explanation:
-2(x+2)=-12
x+2=-12/-2
x+2=6
x=6-2
x=4