Answer
Find out the what is the value of x when y = 8 .
To prove
As given
The variables y and x have a proportional relationship.
y = kx
Where k is the constant of proportionality.
As y = 5 when x = 4
Put in the above
5 = 4k
Now find out the value of x , when y = 8
x= 6.5
Therefore when y = 8 than x = 6.4
Horizontal distance = 48'
difference in elevation = 18"-6" = 12" = 1'
Slope of the sewer line = rise/run = 1/48 = 0.0208 = 2.08%
Answer:
C) 147 ft²
Step-by-step explanation:
Bottom rectangle:
A = bh
A = 14(7)
A = 98
Top rectangle:
A = bh
A = 7(7)
A = 49
Combined:
98 + 49
147
Well $25 is the standard price initially.
$10 is added every hour as a constant rate.
Therefore a. 25 + 10h is the right expression
Since the triangle is a right triangle at point B, then line AB is perpendicular to line BC.
For perpendicular lines, the product of their slopes is -1.
Slope of AB = (5 - 0)/(2 - 5) = 5/-3 = -5/3
Slope of BC = (y - 5)/(7 - 2) = (y - 5)/5
-5/3(y - 5)/5 = -1
-5(y - 5)/15 = -1
-5(y - 5) = -15
y - 5 = 3
y = 3 + 5 = 8
Therefore, the y-coordinate of point C is 8.
