Answer:
The lines are parallel, with the same slope of 5.
Step-by-step explanation:
Remember that if slopes are the same, then the lines are parallel. If the slopes are opposite reciprocals, they are perpendicular. If they are neither of those cases, then they would be neither.
1) Since y = 5x + 1 is already in slope-intercept format (y = mx + b, in which m represents the slope) we know that 5 is the slope of that equation.
2) To find the slope of -5x + y = 6, let's just convert it to the slope-intercept format by isolating y on the left side like so:

(All you need to do is move -5x to the right side of the equation.) So, by looking at y = 5x + 6, we can do the same thing we did from step 1 and find that the slope is 5.
3) Since both of the equations' slopes are 5, they share the same slope - therefore, they are parallel.
Hope this helps! Please do not hesitate to ask any questions.
First you need to get 3% of 7 so
7x0.03= 0.21
then you need to add that 3% onto 7
7+0.21=7.21
therefore the door frame is now 7.21 feet high
2n = 3n - 5 (get all of n on one side by subtracting)
-1n = -5 (when you get here you have to divide by -1 to make n positive)
n = 5
Answer:
43.7 ft
Step-by-step explanation:
Radius of the semicircular garden is 8.5 ft .
Diameter = 8.5 × 2 = 17 ft
Circumference of the garden =
× π × diameter =
× π × 17 = 26.7 ft (rounded up to the nearest tenth of a foot)
Distance around the gardent = Circumference + diameter = 26.7 ft + 17 ft = 43.7 ft