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Oliga [24]
3 years ago
6

Write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12​

Mathematics
1 answer:
dedylja [7]3 years ago
7 0

Answer:

y  = \frac{1}{2}x - 2

Step-by-step explanation:

Given parameters:

    Coordinates = p(4,0)

  Equation of the line   -x+2y=12​

Solution:

A line parallel to the given line will have the same slope as it is;

     -x+2y=12​

          2y = x + 12

            y = \frac{1}{2}x + \frac{12}{2}

 Since this conforms to y = mx + c where;

    x and y are the coordinates

    m is the slope

   c is the intercept

Our slope is \frac{1}{2}

The equation of the line is

      y = mx + c

let us find c;

     c  = y - mx

     c = 0 - (\frac{1}{2} x 4)

     c = -2

Now the equation of the line parallel to the line given is;

     y  = \frac{1}{2}x - 2

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
elena-14-01-66 [18.8K]

Answer:

a)

y = 0.3035 + 0.0082x

b)

0.6315 mm

c)

x = 23.9634 °C

Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}

Replacing the values in our formula (we will round at the end of the calculations)

\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476

the Y-intercept b is computed with the formula

\bf b=\bar y-m\bar x

therefore we have

\bf b=0.5188-0.008169476*26.36=0.303452613

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

Here, we replace y with 0.5 and solve for x

0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>

 

x = 23.9634 °C

6 0
3 years ago
Can you help me please?
Fofino [41]

Answer: n=4,-4

Hope this helped

5 0
1 year ago
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The answer is true!

explaination: hope this helped
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3 years ago
Is 5 1/2 yds greater than 192 ins?
iren2701 [21]

Answer:

no

Step-by-step explanation:

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