The slope of your line is the x-coefficient: 5.
The slope of a perpendicular line is the negative reciprocal of that: -1/5.
Answer:
Answer C:
Cannot be true because
is greater than zero in quadrant 2.
Step-by-step explanation:
When the csc of an angle is negative, since the cosecant function is defined as:

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.
Therefore, the correct answer is:
Cannot be true because
is greater than zero in quadrant 2.
Answer:
x = 1/3
Step-by-step explanation:
15 = 1/2 + 3/2x + 10
15 - 1/2 -10 = 3/2x
9/2 = 3/2x
9 x 2x = 3 x 2
18x = 6
x = 6/18
x = 1/3
Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
It would be 404%
Hope this helps!