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Simora [160]
3 years ago
8

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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JA mattress store in Stafford purchased a mattress at a cost of $255 and marked it up 100%. Later on, Cassie bought the mattress
goldenfox [79]

Answer:

She pays $566.10

Step-by-step explanation:

The mattress store marks a mattress up 100%. 100% of $225 is 225. We add 225 to 225 and get 510. Therefore, the store sells the mattress for $510 without tax. When Cassie buys the mattress, we have to add 11% tax. We change 11% to 0.11 and multiply that by the selling price (510). We get 56.10, so that is the tax. We add the tax to the selling price and get $566.10. Cassie pays $566.10 for the mattress.

I hope this helped and please mark me as brainliest!

6 0
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
7 0
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.

4 0
3 years ago
Read 2 more answers
What is 63 - x equals 2x + 3​
Lyrx [107]

Answer: x=20

Step-by-step explanation:

63-x=2x+3

-x-2x+63=3

-x-2x=3-63

-3x=3-63

-3x=-60

-3x/3=-60/3

X=20

please mark me brainliest!!

4 0
3 years ago
A convex figure has three sides what is the sum of its exterior angles
SashulF [63]

A convex figure with three sides is triangle. The sum of the measures of all interior angles of the triangle is 180°.

Let \alpha, \beta, \gamma be interior angles of this triangle. Then

\alpha+\beta+\gamma=180^{\circ}.

Find exterior angles of this triangle:

1. 180^{\circ}-\alpha is exterior angle adjacent to the interior angle \alpha.

2. 180^{\circ}-\beta is exterior angle adjacent to the interior angle \beta.

3. 180^{\circ}-\gamma is exterior angle adjacent to the interior angle \gamma.

The sum of the measures of all exterior angles is

180^{\circ}-\alpha+180^{\circ}-\beta+180^{\circ}-\gamma=540^{\circ}-(\alpha+\beta+\gamma)=540^{\circ}-180^{\circ}=360^{\circ}.

Answer: 360°

4 0
3 years ago
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