A seed company planted a floral mosaic of a national flag. the perimeter of the rectangular planting area is 420 feet. the lengt h of the area is 110 feet longer than the width. a.) write a system of equations to relate the length and width of the planting area
b.) use the system of equations to determine the length and width of the planting area
1 answer:
Answer:
Length = 50 feet
Width = 160 feet
Explanation:
I'm assuming the flagpole is not included in this question.
w
=
w
i
d
t
h
l
=
≤
n
>
h
The length compared to the width is:
w
=
l
+
110
<-- equation 1
The formula for perimeter:
P
=
2
w
+
2
l
420
=
2
w
+
2
l
<-- equation 2
Sub the first equation into the second.
420
=
2
(
l
+
110
)
+
2
l
Now you can solve for
l
algebraically.
420
=
2
l
+
220
+
2
l
4
l
=
200
l
=
50
Sub the found length into the first equation to find the length.
w
=
(
50
)
+
110
w
=
160
Therefore the flag is 50 feet long and 160 feet wide.
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-2/3 times -2. You change -2 into -2/1 so you can multiply numerator to numerator and denominator to denominator. You will get 4/3 (negatives cancel out)
Answer:
Step-by-step explanation:
Product of a number and its multiplicative inverse should be equal to 1.
So,
Answer:
1) y = 5/2x - 3/2
2) y = 2/5x - 4/5
Step-by-step explanation:
1)
(1, 1) and (3, 6)
m = (y2 - y1)/(x2 - x1)
m= (6 - 1)/(3-1)
m= 5/2
m= 5/2
y - y1 = m(x - x1)
y - 1 = 5/2(x - 1)
y - 1 = 5/2x - 5/2
y = 5/2x - 3/2
2)
(2, 0) and (7, 2)
m = (y2 - y1)/(x2 - x1)
m= (2 - 0)/(7 - 2)
m = 2/5
y - y1 = m(x - x1)
y - 0 = 2/5(x - 2)
y = 2/5x - 4/5
Answer:
distance =12 miles
speed =4 miles per hour
Time=?
t =d/s
t= 12/4
time= 3 minutes