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ad-work [718]
3 years ago
14

Please help me! (5, -4) ; y = 1/5x-4 please show all steps

Mathematics
1 answer:
mario62 [17]3 years ago
3 0

Answer:

False.

Step-by-step explanation:

When the line is graphed, the point (5, -4) does not fall on the line. At x = 5 y = -3, not -4. This can also be seen when replacing the x and y in the equation with the point given:

y=\frac{1}{5}x-4\\(-4)=\frac{1}{5}(5)-4\\\\(-4)=1-4\\-4\neq-3

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Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
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The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
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= 8x - 4

At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5

-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
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This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
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3 years ago
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Step-by-step explanation:

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Formula's applied:

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