Answer:
Angle b is 63
Angle f is 59
Step-by-step explanation:
The perimeter is equal to 60 feet and has the formula:
Perimeter = 2 l + 2 w
60 = 2 l + 2 w
The area is equal to 200 square feet and has the formula:
Area = l w
200 = l w
Rewriting area in terms of l:
l = 200 / w
Combining this with the perimeter formula:
60 = 2 (200 / w) + 2 w
60 = 400 / w + 2 w
Multiplying all by w:
60 w = 400 + 2 w^2
Dividing by 2 and rearranging:
w^2 – 30 w = - 200
Completing the square:
(w – 15)^2 = - 200 + (-15)^2
(w – 15)^2 = 25
w – 15 = ±5
w = 10, 20
Hence the dimensions of the garden is 10 feet by 20 feet
Answer:
you would be dividing so it will be n over 8
Step-by-step explanation:
n/8...
hope this helped?
4x - y = 3
y = 2x + 13
Substitute the second equation into the first equation:
4x - y = 3 [since y = 2x + 13, you can substitute (2x + 13) for "y" in the equation]
4x - (2x + 13) = 3 Distribute/multiply - into (2x + 13)
4x - 2x - 13 = 3
2x - 13 = 3 Add 13 on both sides
2x = 16 Divide 2 on both sides
x = 8
Now that you know x = 8, plug it into one of the equations to find y
y = 2x + 13
y = 2(8) + 13
y = 16 + 13
y = 29
x = 8, y = 29 or (8, 29)
[proof]
4x - y = 3
4(8) - 29 = 3
32 - 29 = 3
3 = 3
y = 2x + 13
29 = 2(8) + 13
29 = 16 + 13
29 = 29
