Answer : 153 miles
Explanation : first take 134.29 & subtract the 14.95 base fee which give you 119.34 . now divide 119.34 by 78 which gives you 1.53. so he drove 153 miles.
equation : 14.95+ 0.78x = 134.29 . to double check just multiply 153 x 0.78 and add $14.95 which gives us the total of $134.29
Answer:
y =-2x+8
Step-by-step explanation:
We have a point and a slope
(5,-2) and m =-2
The slope intercept form of a line is
y = mx+b
y = -2x+b
Substitute in the point
-2 = -2(5)+b
-2 = -10+b
Add 10 to each side
-2+ 10 = -10+10 +b
8 = b
The equation is
y =-2x+8
Answer:
72
Step-by-step explanation:
First differences are ...
18 -17 = 1
22 -18 = 4
31 -22 = 9
47 -31 = 16
We observe that these are square numbers. The next square number is 25, so we expect the next number in sequence to be ...
47 +25 = 72
The equation of the perpendicular line is y + 7 = -1/7(x - 3)
<h3>How to determine the line equation?</h3>
The equation is given as
y = 7x + 14
Also, from the question
The point is given as
Point = (3, -7)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope of y = 7x + 14 is 7
So, we have
m = 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the perpendicular lines is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (3, -7)
So, we have
y = -1/7(x - 3) - 7
Evaluate
y = -1/7(x - 3) - 7
Add 7 to both sides
y + 7 = -1/7(x - 3)
Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)
Read more about linear equations at
brainly.com/question/4074386
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