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fgiga [73]
2 years ago
6

Find the equation of a line which is parallel to y= 2/5 x + 17 and passes through (-15,12)

Mathematics
2 answers:
BaLLatris [955]2 years ago
6 0

Answer:

y  = (2/5)*x + 18

Step-by-step explanation:

Because the line is parallel to the line y = 2/5 x + 17, the slope of the new line has to be the same as well. So far, we have y = (2/5)*x .

Now what we can do is plug in -15 for x and see what we get for y. Because we get -6, we need 18 more to make it 12. Because of that, the y-intercept is 18 to make the equation of the line y  = (2/5)*x + 18.

Naddika [18.5K]2 years ago
4 0

Answer:

y = 2/5x + 18.

Step-by-step explanation:

The line will have the same slope of 2/5.

Using the point-slope form of a line:

y - 12 = 2/5(x - -15)

y - 12 = 2/5(x + 15)

y = 2/5x + 6 + 12

y = 2/5x + 18.

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3 years ago
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
PtichkaEL [24]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The point is on the line.

The coordinate values satisfy the equation:

  1/3x + y = 12

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5 0
3 years ago
Please help, legitimate answers only or reported
Doss [256]

question 9

a) 2 x 3 = 6m^2

b) diameter = 2m and radius = 1m

c) πr^2 is the equation, so 3.14 x 1^2 = 3.14m^2

and the semi circle is half of that, 1.57m^2

d) 6 + 1.57 = 7.57m^7

question 10

30 x 70 = 2,100m^2

πr^2 so 3.14 x 15^2 = 706.5m^2

2,100 + 706.5 = 2,806.5m^2

i hope this is correct :D

8 0
3 years ago
Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i
ad-work [718]

Answer:

p-value: 1.000

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Step-by-step explanation:

We will be conducting a difference of 2 proportions hypothesis test

The hypothesis for this test is:

H0:  p1 - p2=0

Ha:  p1 - p2  ≠0

(p1 ) = 252/300 = 0.84

(p2) = 195/300 = 0.65

This is a 2 tailed test with a significance level of 1%.  So our critical values are:  z > 2.575  and z < -2.575

See the attached photo for the calculations for this test

5 0
3 years ago
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