Step-by-step explanation:
Using the point C (-4,-2) and the refection rule:
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: here
Step-by-step explanation:riangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
hope it helps
Let the number of green apples bought be x
Green apples = x
Red apples = 2x
Yellow apples = 1/3 (2x) = 2/3 x
Total = 22 apples
x + 2x + 2/3 x = 22
11/3 x = 22
11x = 66
x = 6
Green apples = x = 6
Red apples = 2x = 2(6) = 12
Yellow apples = 2/3 (2x) = 2/3 (6) = 4
Answer: Green = 6, Red = 12, Yellow = 4
Answer:
Step-by-step explanation:
11/12 × 4 = 11/3 = 3⅔
