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elixir [45]
3 years ago
8

write an equation for the graph of the line that passes through the point (3,2) and is perpendicular to the line x-2y=-6

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

The equation of the line would be y = -2x + 8

Step-by-step explanation:

In order to find this, we first need to find the slope of the original equation. We can do this by solving for y.

x - 2y = -6

-2y = -x - 6

y = 1/2x + 3

Now that we have a slope of 1/2, we know the new perpendicular line will have a slope of -2. We know this because perpendicular lines have opposite and reciprocal slopes. This means we flip it and change the sign. Now we can use this slope along with the point to find the equation.

y - y1 = m(x - x1)

y - 2 = -2(x - 3)

y - 2 = -2x + 6

y = -2x + 8

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stepladder [879]

Answer:

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  • other leg: 1000 ft
  • hypotenuse: 2600 ft

Step-by-step explanation:

The Pythagorean theorem tells a relation between the leg lengths and the hypotenuse. If x represents the unknown leg length, then we have ...

  x^2 + 2400^2 = (x +1600)^2

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The other leg length of the garden is 1000 ft. The garden is a triangle with side lengths 1000 ft, 2400 ft, 2600 ft.

4 0
4 years ago
the demand for a product for the last six years has been 15, 15, 17, 18, 20, and 19. The manager wants to predict the demand for
Marta_Voda [28]

Answer and explanation:

Given : The demand for a product for the last six years has been 15, 15, 17, 18, 20, and 19. The manager wants to predict the demand for this time series using the following simple linear trend equation : tr_t = 12 + 2t

To find : What are the forecast errors for the 5th and 6th years?

Solution :

Data : 15, 15, 17, 18, 20, and 19.

The simple linear trend equation is given as, tr_t = 12 + 2t

For t = 5 years

tr_t = 12 + 2(5)

tr_t = 12 +10

tr_t = 22

Observed tr_t = 20

Predicted tr_t = 22

Forecast error = Observed – Predicted = 20 – 22 = -2

Absolute forecast error = |-2| = 2 .

For t = 6 years

tr_t = 12 + 2(6)

tr_t = 12 +12

tr_t = 24

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7 0
4 years ago
Please answer this please and thank you.
kvasek [131]

Make sure you know how to do these you will be using this for the rest of your mathematical schooling.


.....................................................................

Answer:C

because the rest do not have the correct y intercept which is -3

y=mx+b

y=output

m=slope (growth rate)

x=input

b= y intercept

4 0
3 years ago
Find the value of x.<br> A. 21 <br> B. 4<br> C. 13<br> D. 11
GenaCL600 [577]

Answer:

I believe the answer is B

3 0
3 years ago
Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 5?
allsm [11]

Answer:  0.50, which is choice b

Explanation:

The interval 1 \le x \le 5 covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.

7 0
3 years ago
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