As the number of people mowing the golf course increases, the time taken to complete mowing the golf course decreases. This shows a negative association.
Expressions a.
, c.
, and e.
should be simplified using zero power. Options a, c, and e are correct.
<h3>What is simplification?</h3>
ake function simple or more understandable called simplify and the process is called simplification.
a . ![(r^6)^0](https://tex.z-dn.net/?f=%28r%5E6%29%5E0)
![=r^{6*0}\\=r^0\\= 1](https://tex.z-dn.net/?f=%3Dr%5E%7B6%2A0%7D%5C%5C%3Dr%5E0%5C%5C%3D%201)
Similarly,
b.
![=\frac{t^1q^3}{t^{-4}q} \\=t^{1+4}q^{3-1}\\=t^5q^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bt%5E1q%5E3%7D%7Bt%5E%7B-4%7Dq%7D%20%5C%5C%3Dt%5E%7B1%2B4%7Dq%5E%7B3-1%7D%5C%5C%3Dt%5E5q%5E2)
This option has not contanined the zero power.
c.
![= l^7/l^7\\= l^{7-7}\\=l^0\\=1](https://tex.z-dn.net/?f=%3D%20l%5E7%2Fl%5E7%5C%5C%3D%20l%5E%7B7-7%7D%5C%5C%3Dl%5E0%5C%5C%3D1)
e.
![=m^2.m^{-2}\\= m^{2-2}\\=m^0\\=1](https://tex.z-dn.net/?f=%3Dm%5E2.m%5E%7B-2%7D%5C%5C%3D%20m%5E%7B2-2%7D%5C%5C%3Dm%5E0%5C%5C%3D1)
Thus, expressions a.
, c.
, and e.
should be simplified using zero power. Options a, c, and e are correct.
Learn more about simplification here: brainly.com/question/12501526
#SPJ1
The slopes of two lines are equal which means that the lines are parallel.
Further explanation:
The slopes of lines are used to find the relationship between two line.
- If two lines are parallel, then their slopes will be equal.
- If two lines are perpendicular, the product of slopes of both lines will be -1
The standard form of equation of line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
The coefficient of x is the slope here.
y=1/3x+4
Let m1 be the slope of first line:
![m_1=\frac{1}{3}](https://tex.z-dn.net/?f=m_1%3D%5Cfrac%7B1%7D%7B3%7D)
![x-3y=-12\\-3y=-x-12\\-3y=-1(x+12)\\3y=x+12\\\frac{3y}{3}=\frac{x+12}{3}\\y=\frac{x+12}{3}\\y=\frac{x}{3}+\frac{12}{3}\\y=\frac{1}{3}x+4](https://tex.z-dn.net/?f=x-3y%3D-12%5C%5C-3y%3D-x-12%5C%5C-3y%3D-1%28x%2B12%29%5C%5C3y%3Dx%2B12%5C%5C%5Cfrac%7B3y%7D%7B3%7D%3D%5Cfrac%7Bx%2B12%7D%7B3%7D%5C%5Cy%3D%5Cfrac%7Bx%2B12%7D%7B3%7D%5C%5Cy%3D%5Cfrac%7Bx%7D%7B3%7D%2B%5Cfrac%7B12%7D%7B3%7D%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7Dx%2B4)
Let m2 be the slope of second line
![m_2=\frac{1}{3}](https://tex.z-dn.net/?f=m_2%3D%5Cfrac%7B1%7D%7B3%7D)
We can see that:
![m_1=m_2](https://tex.z-dn.net/?f=m_1%3Dm_2)
The slopes of two lines are equal which means that the lines are parallel.
Keywords: Parallel Lines, Perpendicular Lines
Learn more about lines at:
#LearnwithBrainly
Answer:
y=(1/2)x+6.5
Step-by-step explanation:
Lines are parallel if they have the same slope value
out line should look something like this
y=(1/2)x+b
then we use the given point to find b
5=(1/2)-3.5+b
5=-1.5+b
b=6.5