Perpendicular lines have slopes that are negative reciprocals.
so first you must find the slope of the line given
the slope formula is
m=(y₂-y₁)/(x₂-x₁)
now you just plug in the coordinate points that you are given
m=(-2-2)/(0-(-3)
m=-4/3
so the slope of the line given is -4/3, the negative reciprocal of this would be 3/4
The slope of the perpendicular line would be 3/4
A. 9.3 x 10^7 miles
B. 4 x 10^-2 inches
C. 5.89248 x 10^12 inches
D. 1.47312 x 10^14 fireflies
x represents the number of lawns weeded by Gwen and y represents the number of dogs walked by Fabio.
Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog.
So, for x number of weeds, Gwen earned 12x and for y number of dogs walked, Fabio earned 9y.
They need at least $510 to purchase the new gaming station.
Therefore,
12x + 9y ≥ 510
Also, the number of dog walks that Fabio has scheduled should not be more than twice the number of yards Gwen has scheduled to weed.
Therefore,
y ≤ 2x
Also, Fabio will walk at least 25 dogs.
Therefore,
y ≥ 25
Hence, the constraints are:
12x + 9y ≥ 510
y ≤ 2x
y ≥ 25
I dont think the answer is 129 unless you typed the problem in wrong. Order of operations say to do everything inside the perenthesis first so you would do the 3*2 which is 6 then divide the 12 by 6 and you get 2. so your new equation is 8^2+9(2)-7. Next distribute the 9 to the 2 that is inside the perenthesis. Square root the 8 also. Now it is 49+18-7. The answer would be 60 ...?
Answer:
1 2/3 = m
Step-by-step explanation:
2/3 = m+3/5 -8/5
Combine terms
2/3 = m-5/5
2/3 = m -1
Add 1 to each side
2/3 +1 = m-1+1
2/3 +3/3 = m
5/3 = m
1 2/3 = m
