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Brums [2.3K]
3 years ago
15

Which equations below represent lines that are perpendicular to the line that contains (1, - 2) and (3,4)^ Select all that apply

Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

Select all the lines with slope -\frac{1}{3}.

Step-by-step explanation:

Use the slopes to help you answer this kind of questions.

The slope of the line going through: (1, - 2) and (3,4) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

We plug in the coordinates to get:

m=\frac{4--2}{3-1}=\frac{6}{2}=3

All lines that are perpendicular to this line has slope -\frac{1}{3}.

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Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou
Vadim26 [7]
ANSWER

Paul and Matt will take
9.9 \: \: hours
to install the floor working together.

EXPLANATION

First, calculate Paul's rate, which is

= \frac{1}{18}

Next, calculate Matt's rate, which is,
= \frac{1}{22}

Let us assume that, Paul and Matt took
x \: hours
to do the work together.

Then, the rate of working together is,

= \frac{1}{x}

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

\frac{1}{18} + \frac{1}{22} = \frac{1}{x}

Simplify the left hand side

\frac{11 + 9}{198} = \frac{1}{x}

\frac{20}{198} = \frac{1}{x}

We reciprocate both sides to get (You could have also done cross multiplication).

\frac{198}{20} = \frac{x}{1}

x = 9.9 \: hours
7 0
3 years ago
18+45-9(2)<br> Using order of operations
andrew-mc [135]

Answer:

45

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
how do you equally divide 12 cookies with 8 people. what fraction of cookies would each person receive?
victus00 [196]
Each person would receive 1 and an half cookies.
in other words 1 1/2
5 0
3 years ago
Mercury is the closest planet to the Sun, with an average distance of 35,000,000 miles. It takes light about 3 minutes to travel
klemol [59]

Sorry I'm too dumb to figure out the answer, I hope you find help soon.

4 0
2 years ago
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Which statement describes the symmetry of the data in the two box plots?
inysia [295]

Answer:

The data in country B are more symmetric than the data in country A.

Step-by-step explanation:

The following information is missing:

<em>The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B</em>

Country A

  • minimum: 1
  • quartile 1: 3
  • median: 4
  • quartile 3: 7
  • maximum: 9.5

Country B

  • minimum: 1.2
  • quartile 1: 4
  • median: 6
  • quartile 3: 9
  • maximum: 11

We can see that the difference between quartile 1 and minimum, median and quartile 1, quartile 3 and median, and maximum and quartile 3 is more homogeneous in Country B than Country A, then Country B is more symmetric.

3 0
3 years ago
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