Answer:
y=1/2x+6
Step-by-step explanation:
Lines that are parallel will have the same slope, so the slope will remain 1/2. However, the y-intercepts can't be the same because then they will overlap each other instead. So we must solve for the missing y-intercept in this case:
y = 1/2x + b
4 = 1/2(-4) + b
4 = -2 + b
6 = b
b = 6
Since the y-intercept is b=6, then the equation of the line that passes through the point (-4,4) and is parallel to the line y=1/2x-4 is y=1/2x+6
Jim's backyard:
15 5/6 yd long
10 2/5 yd wide
Sod pieced:
1 1/3 yd long
1 1/3 yd wide
Area of backyard:
15 5/6 times 10 2/5 =
164 2/3 yd
Area of Sod Piece:
1 1/3 times 1 1/3 =
1 7/9 yd
Divide area of backyard by area of sod piece :
164 2/3 divided by 1 7/9 =
92 5/8
He will need to buy 93 pieces of sod to cover his backyard.
Since the beacons rotate together, the angular speed is constant.
From the time you see the first beacon, you have to wait for the lighthouse to make 120°, i.e. 1/3 of a whole turn.
So, if T is the time it takes for the lighthouse to make a whole turn, the interval between the first and the second beacon is T/3.
The interval between the second and third beacon is the amount of time it takes to the lighthouse to make the remaining 2/3 of a turn, so that you'll see the first beacon again. So, this time is 2T/3
So, the ratio is

So, the time between the second and third beacon is twice as much the time between the first two.
Answer:
p = 
Step-by-step explanation:
change the mixed number to an improper fraction
- 2
= -
, hence
-
p = - 3 ( multiply both sides by 7 )
- 15p = - 21 ( divide both sides by - 15 )
p =
= 
Answer:
Plug in and determine solution
Step-by-step explanation:#9-11 plug in the degrees C on the left side of the table into the equation and that should give you the degrees F, something like with #9; F = 9/5 (0) + 32.
#12-13, they have a relationship because Celsius can be converted to Farenheit and vise versa