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Volgvan
2 years ago
13

Find the slope of the line through each pair of point

Mathematics
1 answer:
Rashid [163]2 years ago
4 0

The slope of the line passes through (-6, 3) and (1, 5) is \frac{2}{7}

<u>Solution:</u>

Given, two points are (- 6, 3) and (1, 5)  

We have to find the slope of a line that passes through the above given two points

Slope of a line that pass through \left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) is given as:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text { Here, in our problem, } x_{1}=-6, y_{1}=3 \text { and } x_{2}=1, y_{2}=5

\text { Slope } m=\frac{5-3}{1-(-6)}=\frac{2}{1+6}=\frac{2}{7}

Hence, the slope the line that passes through the given points is \frac{2}{7}

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Answer: 7 to the 12 power

Step-by-step explanation:

when multiplying the same number with different exponents, all u have to do is add the exponents

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Given a rectangle with an area of 20 square units, if the width is x units and the length is x + 1 units, what is the difference
ollegr [7]

Answer: 1unit.

Step-by-step explanation:

Area of the rectangle

A = length × width

Since the area = 20 and the width is x and the length is x + 1.

We now substitute for the values in the above formula and solve for x

20 = x × x + 1

20 = x( x + 1 ), we now open

20 = x² + x , then re arrange.

x² + x - 20 = 0, this is a quadratic equation.we solve for x using quadratic means

Here, I am going to solve using factorization by grouping

x² + x - 20 = 0

x² + 5x - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ). = 0

Therefore, the solution for x will be

x = -5 or 4, but x can not be -5 ( negative), so x = 4.

Now the difference between width and the length can easily be calculated from the above,

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Now difference will be

5 - 4 = 1unit.

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3 years ago
Which table shows a proportional relationship?
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Please help ASAP!!!!!!!!
JulijaS [17]

The correct answer is: "The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35."

Step-by-step explanation:

When numbers are considered, their position or place value matters a lot.

When a decimal number is written, moving left from the decimal point the place value increases ten times and while moving to the right the place value decreases 10 times.

Given two numbers are:

50.8 and 18.35

In order to compare the 5 in both numbers we have to find the place value of 55 in both numbers.

So,

<u>In 50.8:</u>

The place value of 5 in 50.8 is: 50

<u>In 18.35:</u>

The place value of 5 will be: 5/100

To compare the values, we will divide the larger place value by smaller place value

=\frac{50}{\frac{5}{100}}\\\\=\frac{50*100}{5}\\\\= \frac{5000}{5}\\\\=1000\ times

Hence,

The correct answer is: "The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35."

Keywords: Place value, decimals

Learn more about place values at:

  • brainly.com/question/10402163
  • brainly.com/question/10414011

#LearnwithBrainly

4 0
3 years ago
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