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3 years ago

Write the equation of the line parallel to the given line and passing through the given point.

Mathematics

1 answer:

Bad White [126]3 years ago

5 0

Answer:

a) y = 2x +4

b) y = 1/2x +4

c) y = -2x +11

Step-by-step explanation:

The given equations are in slope-intercept for, so we can read the slope directly from the equation. It is the x-coefficient.

We can then write an equation of a parallel line using the point-slope form of the equation of a line:

y -k = m(x -h) . . . . for a line with slope m through point (h, k)

If you like, you can rearrange this to "slope-intercept" form. Add k and simplify.

y = mx +(k -mh)

a) m = 2, (h, k) = (3, 10)

y = 2x +(10 -2·3)

y = 2x +4

b) m = 1/2, (h, k) = (0, 4)

y = 1/2x +(4 -(1/2)·0)

y = 1/2x +4

c) m = -2, (h, k) = (4, 3)

y = -2x +(3 -(-2)(4))

y = -2x +11

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3 years ago

Modulation is the process of a)Spinning a wheel to generate a sine wave b)Increasing the amplitude of a sine wave c)Changing one

hram777 [196]

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Step-by-step explanation:

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3 years ago

Find the value of x.

Allisa [31]

A straight line is 180°, so you can do:

109 + ? = 180 (? is the top angle of the triangle)

? = 71°

Because the triangle is an isosceles triangle, the other angle is 71° too.

71 + 71 + ? = 180

? = 38

You subtract 38 with 90 to find the other angle.

90 - 38 = 52°

To find ∠2 you subtract 52 with 180.

180 - 52 = 128

∠2 = 128

128 = 11x + 18

110 = 11x

10 = x

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3 years ago

A Clydesdale horse weighs as much as a Shetland pony and an American Saddlebred horse combined. How much does a Clydesdale horse

pychu [463]

Answer:

Since there are no measurements, a Clydesdale is a Shetland pony and American saddlebred.

Step-by-step explanation:

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2 years ago

Yet another variation: A better packet switched network employs the concept of acknowledgment. When the end user’s device receiv

hram777 [196]

Answer:

P(N = n) = $(1-P)^{n-1} \times P$

Step-by-step explanation:

to find out

Find the PMF PN (n)

solution

PN (n)

here N is random variable

and n is the number of times

so here N random variable is denote by the same package that is N (P)

so here

probability of N is

P(N ) = Ф ( N = n) .................. 1

here n is = 1, 2,3, 4,...................... and so on

so that here P(N = n) will be

P(N = n) = $(1-P)^{n-1} \times P$

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2 years ago