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g100num [7]
3 years ago
15

When constructing parallel lines, how can you be sure the lines you constructed are parallel?

Mathematics
2 answers:
kifflom [539]3 years ago
7 0

Answer:

Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Check the distance along the lines at several places with a compass to ensure they are the same length.

rjkz [21]3 years ago
5 0

Answer:

Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Check the distance along the lines at several places with a compass to ensure they are the same length.

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The total bill for breakfast was $81.30. The group of friends
mr_godi [17]

Answer:

$93.50

Step-by-step explanation:

81.30 x 1.15 = 93.50

6 0
3 years ago
During which time period does Landon's elevation change the fastest? Explain how you know?
bogdanovich [222]
<h3>1. How many inches per minute does London's elevation change between 4 minutes and 8 minutes. </h3>

The question actually asks for the slope of the line that stands for the points (4,3) \ and \ (8,6) why? because the questions tells us that London's elevation changes between 4 minutes and 8 minutes here. Hence, to find the slope of this line we have to use the following formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(4,3) \\ P(x_{2},y_{2})=P(8,6)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(4,3) \\ P(x_{2},y_{2})=P(8,6) \\ \\ So: \\ \\ m=\frac{6-3}{8-4}=0.75in/min

<em>So London's elevation changes 0.75 inches per minute</em>

<em></em>

<h3>2. During which time period does London's elevation change the fastest?</h3>

The greater the absolute value of the slope of the line the faster London's elevation changes. Since this is a Piecewise function, we must analyze each period.

  • FIRST:

→ Between 0 minutes and 4 minutes the function is constant, so there is no any change here.

→ Between 10 minutes and 14 minutes the function is constant, so there is no any change here.

→ Between 18 minutes and 22 minutes the function is constant, so there is no any change here.

So the solution is not in these parts of the function.

  • SECOND:

→ Between 4 minutes and 10 minutes the function has a positive slope, so there is change here.

In the previous item we calculated the slope between 4 and 8 minutes that is the same slope between 4 and 8 minutes and equals 0.75.

→ Between 14 minutes and 18 minutes the function has a positive slope, so there is change here.

Let's take two points here, say, (16,5) \ and \ (18,3)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(16,5) \\ P(x_{2},y_{2})=P(18,3) \\ \\ So: \\ \\ m=\frac{3-5}{18-16}=-1 in/min

As you can see, the absolute value here is 1 that is greater than 0.75.

<em>In conclusion, London's elevation changes the fastest between 14 and 18 minutes</em>

7 0
3 years ago
3y+6-y Please help! I'm awful at math
Sloan [31]

Step-by-step explanation:

So what are you looking for with that equation?

6 0
3 years ago
Evaluate 2b^3 where b = 3
densk [106]

Answer:

<em>Answer</em><em>=</em><em>5</em><em>4</em>

Step-by-step explanation:

Given:- b=3

2b³

Solution:-

2 x b³

2 x 3 x 3 x 3

6 x 9

54 (answer)

Hope this helps you

Have a good day.

6 0
2 years ago
Read 2 more answers
What is 1342 and 215 as a ratio
melomori [17]
1342:215 is the ratio take the first number you get and put it over the 215. Ratios are often expressed as fractions, so 1342/215 would be correct as well.
7 0
3 years ago
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