I would recommend taking a picture of the instructions because I am not sure if you need to find the equation of the line that is parallel or perpendicular, so I will do both.
1. (3 , 2); y = 3x - 2
If the line is parallel to the given equation, the slopes have to be the SAME, so the slope(m) is 3
y = mx + b
y = 3x + b
To find b you plug in the point (3, 2) into the equation
2 = 3(3) + b
2 = 9 + b
-7 = b
The equation of the line that is parallel to the given equation is:
y = 3x - 7
To find the equation of the line that is perpendicular to the given equation, the slope has to be the exact opposite of the given slope. (you flip the sign and the number of the given slope to get the perpendicular line's slope)
The given slope is 3, the perpendicular slope is 
y = mx + b
To find b, you plug in the point (3 , 2) into the equation
2 = -1 + b
3 = b
The equation of the line perpendicular to the given equation is:
Answer:
V≈6283.19
Step-by-step explanation:
V=πr^2h
V=π10^2*20
Answer:
Yes, the x value is increasing by one every time, and the y value is decreasing by 3 every time.
Step-by-step explanation:
Answer:
340 people would renew their membership if the gym had 400 members
The gym's claim is not accurate, because the prediction should be 340 people instead of 330
Step-by-step explanation:
With 400 members, we can predict how many will renew their membership by multiplying 400 by 0.85:
400(0.85)
= 340
So, this would predict that 340 people would renew their membership.
The gym's claim that 330 members would renew their memberships is not accurate, because the correct prediction should be 340 people.
Answer:
x - y = 118
Step-by-step explanation:
Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°
Since JOK is a straight line then
∠ JOP + ∠ POQ + ∠ QOK = 180 , that is
76 + 90 + y = 180
166 + y = 180 ( subtract 166 from both sides )
y = 14
Since MON is a straight line then
∠ MOK + ∠ KOQ + ∠ QON = 180, that is
x + 14 + 34 = 180
x + 48 = 180 ( subtract 48 from both sides )
x = 132
Thus
x - y = 132 - 14 = 118
