Answer: a) D = √148
m = (-5,4)
b) D = √241
m = (1, 7.5)
c) D = √20
m = (0,-4)
Step-by-step explanation:
Distance and Midpoint Formulas
distance = D = √[(x₂-x₁)² + (y₂-y₁)²]
Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)
(−4, 10) and (−6, −2)
D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =
√[4 + 144] = √148
m = ((-6+(-4))/2 ; (-2+10)/2
m = (-10/2 ; 8/2)
m = (-5,4)
(−1, 15) and (3, 0)
D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =
√[16 + 225] = √241
m = ((3+(-1))/2 ; (0+15)/2
m = (2/2 ; 15/2)
m = (1,7.5)
(2, −3) and (−2, −5)
D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =
√[16 + 4] = √20
m = (-2+2))/2 ; (-5+(-3))/2
m = (0/2 ; -8/2)
m = (0,-4)
Answer: 150 people voted in the election.
Step-by-step explanation:
Let x = Total number of votes.
Mason got votes.
Isabella got 40 votes, Amelia got 60 votes.
Then,
Combined votes =
Hence, 150 people voted in the election.
Answer:
6 months
Step-by-step explanation:
if down payment is 2000 and he has 1100 now, thats a difference of 900
and since he saves 150 month...
900/150 = 6
6 months :)
Variation are of 2 types: Direct variation that states 'if x increases, y increases'. And inverse variation which states ' if x increases, y decreases and y increases x increases'.
1. The amount of fuel used on a trip increases as the size of the car increases and as the distance traveled increases. = Direct variation
2. As the number of people helping mow a lawn increases, the time it takes to mow the lawn decreases = Inverse variation
3. The cost of having a house painted increases as the size of the house increases. = Direct variation
Perpendicular lines in equations are negative reciprocals of each other. If you multiply two slopes together and they equal -1, they are perpendicular.
3 * -1/3 = -1 so the slope is -1/3.
Equations that have the same slope are parallel. If another line had a slope = to 3, then the line would be parallel to y=3x-1