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Eddi Din [679]
2 years ago
14

A garbage truck and a dump truck each drive along a straight road between two points. Using the points on a map that the city cr

eated, the garbage truck will start at (–3, 4) and will stop at (5, 12). The dump truck will start at (5, –3) and will stop at (–4, 33).
What are the coordinates of the intersection that both trucks drive through?
Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0
We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8

Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17

Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8

y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2

The trucks' point of intersection is (25/8,9/2)
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Answer:

Number of panels produced by Plant B is 8,000.

Step-by-step explanation:

The number of panels produced by Plant A  = 16,000

The number of defective panels from A = 5%

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So, out of  16,000 panels produced by pant A , 800 are defective. .. (1)

Let us assume number of panels produced by Plant B  = m

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Now, 2% of m = \frac{2}{100}  \times m = 0.02 m

So, out of total m panels produced by pant B , 0.02 m are defective. .. (2)

Now, total panels produced over all = Panels by A  + Panels by B

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The percentage of defected panels over all = 4%

Now, 4% of (16,000 + m) = \frac{4}{100}  \times (16,000+m)  = (0.04)(16,000 + m)

Also, the total number of defective panels = Defective from A  + Defective from B

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or, 640 + 0.04 m = 800 + 0.02

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