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3 years ago

Can someone finish the whole thing ??

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

3 0

<h3>Answer: y = (3/2)x + 0</h3>

This is the same as y = (3/2)x

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Work Shown:

Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - (-3))/(2 - (-2))

m = (3 + 3)/(2 + 2)

m = 6/4

m = 3/2

The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.

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Plug m = 3/2 and (x1,y1) = (-2,-3) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

y - (-3) = (3/2)(x - (-2))

y + 3 = (3/2)(x + 2)

y + 3 = (3/2)x + (3/2)(2)

y + 3 = (3/2)*x + 3

y + 3 - 3 = (3/2)*x + 3 - 3

y = (3/2)x + 0

The y intercept is zero. This matches up with the fact the graph crosses the y axis at y = 0.

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Answer:

Part a) 10 gallons

Part b) 4.59 hours

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

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$(4)(2)+\frac{1}{2}(6-4)(2)$

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Part b) How many hours did it take for 9 gallons to leave the tank?

we know that

In the interval [0,4]

8 gallons of water leaves the tank in 4 hours (remember that the area in that interval is equal to 8 gallons)

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First determine the equation of the line in the interval (4,6)

we have the points (4,2) and (6,0)

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$m=(6-2)/(0-4)=-1$

The equation of the line is

$y=-(x-6)\\y=-x+6$

Determine the area of graph in the interval (4,x) (Is the area of trapezoid)

$A=\frac{1}{2}(2+(-x+6))((x-4)$

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$A=\frac{1}{2}(-x^2+12x-32)\\\\A=-\frac{1}{2}x^{2}+6x-16$

For A=1 gal

$1=-\frac{1}{2}x^{2}+6x-16$

$-\frac{1}{2}x^{2}+6x-17=0$

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see the attached figure N 2

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3 years ago

$9 discount to $4 in percent form

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55% discount rate of $9.

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4/9 = 0.45 * 100% = 45% of the original price is the discount price.

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4 years ago

Suppose line NP ≅ line OM and line MN ≅ PO. Can you use the SSS Postulate or the SAS Postulate to prove ΔMNP ≅ ΔPOM?

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3 years ago