27)
Equation of the existing water pipe's line
a) slope, m = rise / run = Δy / Δx = 3/2
b) y-intercept, b = 3
equation: y = mx + b = (3/2)x + 3
Equation of the new water pipe's line
slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3
point (0,2)
=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe
28)
two parallel lines have the same slope =>
slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3
point (4,5) => y - 5 = (4/3) (x - 4)
=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3
y = (4/3)x - 1/3 <--- equation of the new bike path
Answer: 69/15=4 and remainder 9
Step-by-step explanation: Since 15 x 4 = 60, 15 can't go into 9 so 9 in the leftover
Answer:
11 cups
Step-by-step explanation:
Answer:
-24.1t^2+3
Step-by-step explanation:
Answer:
-24/7
Step-by-step explanation:
change the number to improper fractions:
2 2/7 - 16/7
5 5/7 - 40/7
now since they wont make a positive number, you can do 40-16 which is 24 so your answer is -24/7
NEGATIVE 24/7
