<span>A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards , what are its dimensions?
I know the basic formula is 2W+2L=300 but i am not sure where to go from there...
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Equations:
2W + 2L = 300
L = 2W
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Substitute for "L" and solve for "W":
</span><span>2W + 2(2W) = 300
6W = 300
W = 50 yds (width)
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Solve for "L":
L = 2W
L = 100 yds (length)
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Cheers.
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Answer:
13.
Step-by-step explanation:
x+x+5=21
2x+5=21
2x=16
x=8
Answer:
C. The graph of g(x) is shifted 5 units up.
Step-by-step explanation:
The transformation shown shows a vertical translation.
The graph would move f(x) five units up.
Hope this helps.
Answer:
f(x) = -2x² - 8x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
- Standard Form: f(x) = ax² + bx + c
- Vertex Form: f(x) = a(bx + c)² + d
Step-by-step explanation:
<u>Step 1: Define function</u>
Vertex Form: f(x) = -2(x + 2)² + 6
<u>Step 2: Find Standard Form</u>
- Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6
- Distribute -2: f(x) = -2x² - 8x - 8 + 6
- Combine like terms (constants): f(x) = -2x² - 8x - 2
Both a and b.
Hope this helps!!!