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svlad2 [7]
3 years ago
9

What is the midpoint of the segment shown below?

Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0
I think it’s D.(5, -2)
DochEvi [55]3 years ago
7 0

The answer to the question is A

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For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 1 y + 4 = 5x What
Debora [2.8K]

Answer:

The answer is A.

Step-by-step explanation:

So we have the two equations:

3x+y=1\\y+4=5x

To make a substitution of the second equation into the first equation, we need to isolate the <em>y </em>variable in the second equation. Thus:

y+4=5x\\y=5x-4

Now, we can substitute this into the first equation. Therefore:

3x+y=1\\3x+(5x-4)=1\\3x+5x-4=1

7 0
3 years ago
In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile.
elixir [45]

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324

5 0
2 years ago
How many trolley cars are needed to hold all the passengers? Write as a mixed number
Oksanka [162]

Answer:

46\frac{1}{8}

Step-by-step explanation:

<u><em>Formulate</em></u>

<u><em /></u>1845\div40

<u><em>Calculate</em></u>

<u><em /></u>\frac{1845}{40}

<u><em>Cross out the common factor</em></u>

<u><em /></u>\frac{369}{8}

<u><em>Write </em></u>\frac{369}{8} <u><em>as a mixed fraction</em></u>

<u><em /></u>46\frac{1}{8}

<em>I hope this helps you</em>

<em>:)</em>

7 0
2 years ago
Graph the line with the equation y = -5x + 2.
Evgen [1.6K]

This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.

See the attached image for the actual graph.

8 0
3 years ago
Solve for x to the nearest degree (34.3 = 34)
Hoochie [10]

Answer:

48°

Step-by-step explanation:

We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.

This means the tangent of x° =  \frac{10}{9}. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:

x = arctan (\frac{10}{9})

Using a calculator, the answer would be:

x = 48.0128

Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.

3 0
3 years ago
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