Answer:
the value of x=5 and y = -3
28mi/1 hr = 28 mi/60 min = 1 mi/(60/28) min =
28 mi/hr = 28 mi/60 min since there are 60 min in 1 hr
1 mi/(60/28) min since you divide top and bottom of 28/60 by 28 to get
1 mi/(60/28) min = 1mi/(15/7) min = 1 mi/ 2 1/7 min
14x + 10y = 72
14x + 4y = 96
6y = -24
6 6
y = -4
14x + 10y = 72
14x + 10(-4) = 72
14x - 40 = 72
+ 40 + 40
14x = 112
14 14
x = 8
(x, y) = (8, -4)
Answer:
1 and 3 are both perpendicular to segment NY
Step-by-step explanation:
1. Find the slope of line NY
slope of NY = 5-(-7)/-11-5 = - 3/4
Any line that is perpendicular to NY should have a slope of the inverse of negative slope of NY.
2.Find the slope of perpendicular lines
the inverse of negative slope of NY = - (-4/3) = 4/3
Answer:
The length of the four pieces of protective strip is 96 feet
Step-by-step explanation:
Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)
= 2(w + w + 16)
= 2(2w + 16)
Since the perimeter of the house P = 136 feet,
136 = 2(2w + 16)
dividing through by 2, we have
136/2 = (2w + 16)
68 = (2w + 16)
collecting like terms, we have
68 - 16 = 2w
52 = 2w
dividing through by 2, we have
w = 52/2
w = 26 feet.
Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.
So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)
= 2(w + 22)
= 2(26 + 22)
= 2(48)
= 96 feet
So, the length of the four pieces of protective strip is 96 feet.
