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3 years ago

Find the distance between the pair of parallel lines.

Mathematics

2 answers:

Maurinko [17]3 years ago

6 0

Answer:

C) 3.58

Step-by-step explanation:

The distance between two parallel lines r1 and r2 is given by the absolute value of:

$d(r_1,r_2)=\frac{ax_1+by_1+c}{\sqrt{a^{2}+b^{2}}}$

Where a, b and c are the coefficients of the general form of the equation of the line r2 and x1 and y2 are the coordinates of one point that belongs to the line r1.

Let's call r1 the line define by: y = 2x +4 and r2 the line define by y=2x-4

So, the general form of the equation of line r2 is:

y = 2x - 4

0 = 2x - 4 - y

0 = 2x - y - 4

With this equation, a is equal to 2, b is equal to -1 and c is equal to -4.

Now, we need to found a point that belongs to line r1. This point can be found replacing x for any value and found y. If x is cero, for example, y is:

y = 2x +4

y = 2*0 + 4

y = 4

So, our point (x1, y1) is (0,4).

Replacing values of the equation of d(r1,r2), we get:

$d(r_1,r_2)=\frac{(2*0)+(-1*4)+(-4)}{\sqrt{2^{2}+(-1)^{2}}}=$

$d(r_1,r_2)=\frac{-8}{\sqrt{5}} = -3.58$

Then, the absolute value of -3.58 is 3.58, so the distance between the two parallel lines is 3.58.

guajiro [1.7K]3 years ago

6 0

Answer:

C) 3.58 is the correct answer.

Step-by-step explanation:

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Answer:

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3 years ago

Write a fraction with a denominater of 6 that is greater than 4/2

Strike441 [17]

Anything over 12/6 will be greater than 4/2 such as 19/6 or 28/6

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3 years ago

Select the correct answer for each statement. (k+2, k+3 , k+4) or (k+10, k+12, k+14) will yield consecutive odd integers. (k+6,

almond37 [142]

Answer:

Step-by-step explanation:

one

The only really certain way of getting an odd integer is to do 2k + 1. Therefore the answer should be something like 2k+1, 2k+3, 2k + 5

The best I can do for the first one is to assume that k is odd and that the answer is k + 10, k+12, k+14, but I would ask your instructor if this is merely the best answer out of a poor lot or if the question really has no answer.

Two things should be noted.

1. k has to be odd.

2. The first choice has to give consecutive integers because what is added on is 2 3 and 4. Those numbers are consecutive.

Two

k+1, k+2, k+3. See point 2 above. k is a constant and any number. 1,2,3 are consecutive so the results are consecutive. Even if k < 0 the numbers will be consecutive.

k= - 10

k+1 = - 9

k+2 = -8

k+3 = - 7

These are consecutive.

Your first choice will give either consecutive odd or even numbers depending on what k is.

If k = even, then k+6, k+ 8, k+10 will all be even.

If k = odd then the givens will be odd.

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3 years ago

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