3 years ago

The formula P=2l+2w solve for w not l

1 answer:

8 0

That's the perimeter of a rectangle or parallelogram.

$p = 2l + 2w$

$p - 2l = 2w$

$\frac 1 2(p- 2l) = 2$

$w = \frac p 2 - l$

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What numbers multiply to 6 and add up to 9

Nookie1986 [14]

Xy = 6
x + y = 9

x + y = 9
x - x + y = -x + 9
y = -x + 9

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-x² + 9x = 6
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-1(x²) - 1(-9x) - 1(6) = 0
-1(x² - 9x + 6) = 0
-1 -1
x² - 9x + 6 = 0
x = -(-9) ± √((-9)² - 4(1)(6))
2(1)
x = 9 ± √(81 - 24)
2
x = 9 ± √(57)
2
x = 4.5 ± 0.5√(57)

x + y = 9
4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57)) - (4.5 ± 0.5√(57))
y = 4.5 ± 0.5√(57)
(x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).

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