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iogann1982 [59]
3 years ago
13

A line pass through the point (4,-2) and has a slope of 1/2 what is the value of (-4,a)​

Mathematics
2 answers:
Mashcka [7]3 years ago
7 0

Answer:

if you are trying to find the value of a then a= -6

Step-by-step explanation:

i used the information along with desmos graphing calculator and i graphed the line and got the second point (-4,-6)

AlekseyPX3 years ago
3 0

Answer:

a=-6

Step-by-step explanation:

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

1/2=(a-(-2))/(-4-4)

1/2=(a+2)/-8

a+2=1/2×-8=-4

a=-4-2=-6

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An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
Mazyrski [523]

Answer:

  7.85 km

Step-by-step explanation:

Let x represent the distance from the refinery to point P. Then the distance under the river from point P to the storage tanks is ...

  √(2² +(9 -x)²) = √(x² -18x +85)

In units of $200,000, the cost of the pipeline will be ...

  c = x + 2√(x² -18x +85)

The derivative with respect to x is ...

  dc/dx = 1 +(2x -18)/√(x² -18x +85)

When we set this to zero, we can get the equation ...

  √(x² -18x +85) +(2x -18) = 0

And this can be rewritten as ...

  3x^2 -54x +239 = 0

which has solution

  x = 9 -(2/3)√3 ≈ 7.8453

Point P should be located about 7.85 km from the refinery.

_____

It is interesting to note that the angle the pipe makes with the riverbank is given by arccos(1/2), where the 1/2 is the ratio of overland to under-river costs. That angle is 60°, so the distance along the riverbank from the storage facility to point P is 2cot(60°) = (2/3)√3 ≈ 1.1547 km. You will recognize this as the value subtracted from 9 km in the solution above.

This "angle solution" is the generic solution to this sort of problem where the route costs are different and part of the route is along the edge of the higher-cost path.

3 0
3 years ago
How long does it take to drive 341 miles at 63 miles per hour?
Diano4ka-milaya [45]
If you maintained an average speed of 63 mph, the time to drive 341 miles would be about 5 hours and 24 minutes<span>. You would have to add time for stops, detours and other delays.</span>
3 0
3 years ago
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The school will have to pay $18 for 15 dozen buttons how much will the school have to pay for 50 dozen buttons
nikitadnepr [17]

Answer:

It will cost the school $60

Step-by-step explanation:

In order to find this, set up a proportion.

$18/15 dozen = $x/50 dozen

Now cross multiply to solve

50 * 18 = 15 * x

900 = 15x

60 = x

4 0
3 years ago
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hodyreva [135]
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6 0
3 years ago
Please help! My teacher didn't go over this in the notes D:, as long as it gets answered before midnight im fine though
Crank

Answer:

15*9=135

Step-by-step explanation:

7 0
3 years ago
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