Answer:
-21x + 3y + 10
Step-by-step explanation:
10 - 4x + 3y - 17x
= -4x - 17x + 3y + 10
= -21x + 3y + 10
Answer:
b
Step-by-step explanation:
Answer:
Slope of perpendicular line is -1/3
Step-by-step explanation:
The slope of the given line is 3 and we have to find the slope of the perpendicular line.
We know that the slope of two perpendicular lines are negative reciprocal of each other.
In other words if the slope of the line is m then then slope of the perpendicular line is 
The reciprocal of 3 is 
Hence, negative reciprocal of 3 is 
Therefore, the slope of perpendicular line is -1/3
C is the correct option.
Answer:
width: 5.5 yd; length: 8 yd
Step-by-step explanation:
Let w represent the width of the rectangle in yards. Then 2w-3 is the length and the area is the product of length and width:
w(2w-3) = 44
2w^2 -3w -44 = 0 . . . . put the equation into standard form
(w+4)(2w -11) = 0 . . . . . factor the equation
w = -4 or 11/2 . . . . . . . . the negative solution is extraneous
Then the length is 2·(11/2) -3 = 8.
The width of the rectangle is 5.5 yards; the length is 8 yards.
The uphill part of the ride would have taken 16 minutes and 40 seconds.
This can be found first by determining how many miles Lauren went during the downhill portion. This can be found by multiplying the speed by the time.
5mph * .5hrs = 2 1/2 miles.
Now we can determine how far she needs to go during the uphill portion by subtracting the downhill portion from the entire ride.
3 1/3 miles - 2 1/2 miles = 5/6 miles.
Now that we know she needs to go 5/6 miles for the uphill portion, we can divide the distance by the speed.
5/6 miles / 3 mile per hour = 5/18 hours = 16.67 mins or 16 mins and 40 seconds.