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aksik [14]
2 years ago
7

What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?

Mathematics
1 answer:
malfutka [58]2 years ago
6 0

Answer:

The distance is \sqrt{20} or 2\sqrt{5}.

Step-by-step explanation:

Slope of parallel: 2

Slope of perpendicular: -1/2

Pick a point for y =2x + 7. For example (0,7)

Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).

Distance formula \sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2   }

Insert (0,7) and (4,5)

\sqrt{(0-4)^{2}+(7-5)^2   } = \sqrt{(-4)^{2}+(2)^2   } = \sqrt{(16)+(4)}  } = \sqrt{20}  = 2\sqrt{5}

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3 years ago
What is the common point between lines y = -x + 7 and y = 3x + 10?
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Why would i use quadratic formula to solve this quadratic equation?
lina2011 [118]

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Step-by-step explanation:

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3 years ago
If you flipped two coins simultaneously, for a total of 24 times, how many times, on average, would you expect to get a head and
Bingel [31]

When two coins are flipped simultaneously 24 times, on average 12 times we will get a head and a tail.

For given question,

When two coins are tossed simultaneously, the sample space is as follows:

S = { HH, HT, TH, TT} where H denotes Head and T denotes tail.

Using the formula of probability,

P = Number of favorable outcomes/total number of outcomes,

we get,

P(HT) = 1/4

and

P(TH) = 1/4

We know that the occurrence of two mutually exclusive events is the sum of their individual probabilities.

So, P(Head on one and Tail on other)

= P(HT) + P(TH)

= 1/4 + 1/4

= 2/4

= 1/2

= 0.5

So, when two coins flipped simultaneously, the probability of flipping 2 coins and getting a head and a tail is 0.5

In this question, we need to find the number of times getting a head and a tail when two coins are flipped simultaneously 24 times

= 0.5 × 24

= 12

Therefore, When two coins are flipped simultaneously 24 times, on average 12 times we will get a head and a tail.

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

8 0
1 year ago
Please answer and no explanation needed
rewona [7]
Wait isn’t it 30 or am I reading it wrong?
3 0
3 years ago
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