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schepotkina [342]
3 years ago
13

A line is shown in the graph below.

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

-3/2

Step-by-step explanation:

One can read off the slope of the given line directly from the graph.  As x increases by 3, y increases by 2.  Thus, the slope of the given line is

m = rise / run = 2 / 3

Any line perpendicular to this given line has a slope which is the negative reciprocal of the slope previously found:

                                                      -1              3

Slope of perpendicular line = ------------ = - -----

                                                     2/3             2

This matches the first of the given possible answer choices.

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Help please!
alexdok [17]

Answer:

The answer is 20 meters squared

base area = side^2 = 2^2 = 4 m^2

base perimeter = (2 x 4) = 8 m

lateral surface = (base perimeter x slant height)/2 = (8 x 4)/2 = 16 m^2

surface area = (base area + lateral surface) = (4 + 16)= 20m^2

6 0
3 years ago
Read 2 more answers
A movie theater has a seating capacity of 153. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
Katena32 [7]

Answer:

x (children) = 58

y (students) = 66

z (adults) = 29

Step-by-step explanation:

Step 1: Write system of equations

x + y + z = 153

5x + 7y + 12z = 1100

1/2x = z

The best way to solve the systems of equations is to use an augmented matrix:

Top row: [1 1 1 | 153]

Middle row: [5 7 12 | 1100]

Bottom row: [1/2 0 -1 | 0]

And then put it in RREF form:

Top row: [1 0 0 | 58]

Middle row: [0 1 0 | 66]

Bottom row: [0 0 1 | 29]

3 0
4 years ago
Write a bracket to make the calculation correct <br><br> 4 + 1 *7-2 =25
Lelechka [254]

Answer:

[4 + 1] *[7-2] =25

Step-by-step explanation:

[4 + 1] *[7-2] =25

We need to get to 25

What makes 25

5*5

4+1 =5

7-2 =5

5*5 =25

So we need brackets around 4+1 and around 7-2

6 0
3 years ago
Read 2 more answers
The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 26% are R
Stells [14]

Answer:

<h2>Check the explanation.</h2>

Step-by-step explanation:

Let, the total population is 1000.

The number of republicans are 26% that is 260, Democrats are 63% that is 630 and Independents are 11% of 1000, that is 110.

20% of 260 = \frac{20\times260}{100} = 52 Republicans favor some type of corporate tax reform.

51% of 630 = \frac{51\times630}{100} = 321.3 .

29% of 110 = \frac{29\times110}{100} = 31.9.

Total number of people, who favor some type of corporate tax is (52 + 321.3 + 31.9) = 404.2 ≅404.

The required probability is \frac{321}{404}.

5 0
4 years ago
Compare the box plots for two data sets.<br> Which statement is true?
galben [10]

Answer:

Step-by-step explanation:

the answer is D.

4 0
3 years ago
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