Answer:
Option A) y = -2x + 15
Step-by-step explanation:
step 1
Find the slope of the line perpendicular to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
The equation of the given line is

so
The slope of the given line is 
therefore
The slope of the line perpendicular to the given line is

step 2
Find the equation of the perpendicular line in point slope form

we have


substitute
---> equation in point slope form
Convert to slope intercept form




Answer:
m = 11
Step-by-step explanation:
Given
(m + 4) = 6 ← multiply both sides by 5 to clear the fraction
2(m + 4) = 30 ( divide both sides by 2 )
m + 4 = 15 ( subtract 4 from both sides )
m = 11
This method avoids having to deal with awkward fractions
Answer:
41
Step-by-step explanation:
Simplifying
8.7 = 3.5m + -2.5(5.4 + -6m)
8.7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
8.7 = 3.5m + (-13.5 + 15m)
Reorder the terms:
8.7 = -13.5 + 3.5m + 15m
Combine like terms: 3.5m + 15m = 18.5m
8.7 = -13.5 + 18.5m
Solving
8.7 = -13.5 + 18.5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-18.5m' to each side of the equation.
8.7 + -18.5m = -13.5 + 18.5m + -18.5m
Combine like terms: 18.5m + -18.5m = 0.0
8.7 + -18.5m = -13.5 + 0.0
8.7 + -18.5m = -13.5
Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5m = -13.5 + -8.7
Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5m = -13.5 + -8.7
-18.5m = -13.5 + -8.7
Combine like terms: -13.5 + -8.7 = -22.2
-18.5m = -22.2
Divide each side by '-18.5'.
m = 1.2
Simplifying
m = 1.2
Answer:
The estimated taken to drive downtown using App is 38.4 minutes
Step-by-step explanation:
Given as :
The initial time taken to drive downtown = i = 48 minutes
The percentage error of time = r = 20%
Let The estimated time using app = t min
Let the time = 1 min
<u>Now, according to question</u>
The estimated time using app = The initial time taken to drive downtown × 
Or, t minutes = i minutes × 
Or, t = 48 minutes × 
Or, t = 48 minutes × 
Or, t = 48 minutes × 
∴ t =
minutes
I.e t = 38.4 minutes
Or, The estimated time using app = t = 38.4 min
Hence, The estimated taken to drive downtown using App is 38.4 minutes Answer