Answer:
1/(5x^8y^13)
Step-by-step explanation:
To simplify this exponential expression we must use some of the laws of exponents, specifically the quotient law. The quotient law states that if the base is the same and you're dividing we subtract the exponents and so: ![\frac{a^m}{a^n}= a^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3D%20a%5E%7Bm-n%7D)
Therefore:
![\frac{3x^{-6}y^{-3}}{15x^2y^{10}} =\frac{x^{-6-2}y^{-3-10}}{5}=\frac{x^{-8}y^{-13}}{5}\\ \\\frac{1}{5x^8y^{13}}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%5E%7B-6%7Dy%5E%7B-3%7D%7D%7B15x%5E2y%5E%7B10%7D%7D%20%3D%5Cfrac%7Bx%5E%7B-6-2%7Dy%5E%7B-3-10%7D%7D%7B5%7D%3D%5Cfrac%7Bx%5E%7B-8%7Dy%5E%7B-13%7D%7D%7B5%7D%5C%5C%20%20%5C%5C%5Cfrac%7B1%7D%7B5x%5E8y%5E%7B13%7D%7D)
Answer:
A car coming to a stop.
Step-by-step explanation:
Since you are on time, I won't give explanation.
:)
EDIT : A car traveling on a constant speed would have been a horizontal line.
A car going downward will also be a horizontal line and if anything a little bit slanted up.
A car speeding up would be a positive line.
Answer:
m = -1/2
Step-by-step explanation:
m = y1 - y2/x1 - x2
2 - 0/0 - 4
-2/4
Simplify
-1/2
Answer:
x=![\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
Step-by-step explanation:
distribute first: (2x+2)+(10x)=3
Then Simplify: 12x+2=3
Subtract 2 from both sides to cancel it out: 12x=1
Divide 12 on both sides x=1/12
Answer:
x = 26; l = 137; m = 137
Step-by-step explanation:
If the lines are parallel, that means the measurements are too. As such, equal the two expressions together
5x + 7 = 8x - 71
add 71 to both sides
5x + 7 + 71 = 8x - 71 + 71
-71 and +71 cancel each other out
5x + 78 = 8x
subtract 5x from both sides
5x - 5x + 78 = 8x - 5x
5x - 5x cancels each other out
78 = 3x
divide both sides by 3
3x ÷ 3 = 1x which can also be written as just x
78 ÷ 3 = x
26 = x
plug in this x value into both expressions to find variables l and m
l:
5(26) + 7
130 + 7
137
m:
8(26) - 71
208 - 71
137