Answer:
1: D
2: B
3: y=-4x+22
4: y=-8x+26
Step-by-step explanation:
1: Parallel lines have the same slope, and the only one with a slope of 3x is D
2: Perpendicular lines have an opposite slope, so a line with a slope of -1/2 would be 2, so you just flip the number and add or take away a negative sign, depending on the original slope
3: Like I said before, perpendicular lines have an opposite slope, so the slope would be -4. After you've figured that out, you just plug in the numbers given to you (and remember, x is first, y is last)
Plug in: 6=-4(4)+b
You would then solve for b.
6=-16+b
22=b
Then plug that into y=mx+b, with m being the slope (-4) and b being the y intercept (22)
4: The process for finding parallel and perpendicular lines is very similar, except you don't have to change the slope.
Plug in: 10=-8(2)-b
10=-16+b
26=b
Again, plug that into the equation y=mx+b
Hope I could be of help! Sorry if it doesn't make sense, this is my first time on this website.
DE and EF are segments of the line DF, so they will add up to DF. This can be represented with this equation:
![(4x + 10) + (2x - 1) = 9x - 15](https://tex.z-dn.net/?f=%20%284x%20%2B%2010%29%20%2B%20%282x%20-%201%29%20%3D%209x%20-%2015%20)
Combine like terms:
![4x + 2x = 6x](https://tex.z-dn.net/?f=%204x%20%2B%202x%20%3D%206x%20)
![10 + (-1) = 9](https://tex.z-dn.net/?f=%2010%20%2B%20%28-1%29%20%3D%209%20)
![6x + 9 = 9x - 15](https://tex.z-dn.net/?f=%206x%20%2B%209%20%3D%209x%20-%2015%20)
Add 15 to both sides:
![6x + 24 = 9x](https://tex.z-dn.net/?f=%206x%20%2B%2024%20%3D%209x%20)
Subtract 6x from both sides:
![24 = 3x](https://tex.z-dn.net/?f=%2024%20%3D%203x%20)
Divide both sides by 3 to get x by itself:
![\boxed{x = 8}](https://tex.z-dn.net/?f=%20%5Cboxed%7Bx%20%3D%208%7D%20)
The value of x will be 8.
Plug this value of x into the expression for DF:
![9(8) - 15 = 72 - 15 = \boxed{57}](https://tex.z-dn.net/?f=%209%288%29%20-%2015%20%3D%2072%20-%2015%20%3D%20%5Cboxed%7B57%7D%20)
DF will equal 57.
Add 7 to the other side.
-13+7=-h
-6=-h
divide by -1
6=h
Answer:
7m
Step-by-step explanation:
Let m be the miles he jogs each day
No. of days in a week = 7
He jogs in 1 day = m miles
He jogs in 7 days = m times 7 = 7m