Walltown is 25 miles east of Park City. - Park City is 38 miles south of Edenton,
• Michael drove from Edenton to Park City and then to Walltown.
- Leah drove straight from Edenton to Walltown
About how much farther
did Michael drive than Leah
5 miles
25 miles
34 miles
45.5 miles
TRA
WUNNIN

Since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.

Step-by-step explanation:

Given that Walltown is 25 miles east of Park City, and Park City is 38 miles south of Edenton, and Michael drove from Edenton to Park City and then to Walltown while Leah drove straight from Edenton to Walltown, to determine about how much farther did Michael drive than Leah, the following calculation must be performed, using the Pythagorean theorem:

Michael:

38 + 25 = 63

Leah:

25 ^ 2 + 38 ^ 2 = X ^ 2

625 + 1,444 = X ^ 2

2,069 = X ^ 2

√2,069 = X

45.48 = X

63 - 45.49 = 17.51

Therefore, since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.