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2 years ago

Find the slope of the line through the points (−3, 6) and (2, 6).

Mathematics

2 answers:

Elden [556K]2 years ago

7 0

Answer:

There wouldn't be a slope. It would be 0/5

Step-by-step explanation:

$\frac{6-6}{2+3}$

6 - 6 = 0

2 + 3 = 5

0/5 isn't a slope.

Minchanka [31]2 years ago

5 0

Answer:

Slope is 0

Step-by-step explanation:

It is an undefined slope because slope= 0.

Since given points in the question, we substitute them in the equations,

(x1,y1)= (-3,6)

(x2,y2)= (2,6)

Now, by using formula of slope we simplifies the equations:

Slope= y2-y1 / x2-x1

Solving it further to find the slope.

Slope= 6-6 / 2-(-3)

Solving the substituted values into an easier form

Slope= 0 / 2+3

Slope= 0 / 5

Slope= 0

Therefore, Slope is 0

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The population of a city increased from 21,400 to 27,700 between 2007 and 2016. Find the change

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Answer:

700

Step-by-step explanation:

2016 - 2007 = 9

27,700 - 21,400 = 6300

6300 / 9 = 700.

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1 year ago

A father walks 36 miles in 12 hours, while his son covers the same distance on a bicycle at twice the father's rate of speed. At

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Step-by-step explanation:

at twice the father's rate of speed. At this rate; how many miles would the bicycle rider travel in 9 hours?

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2 years ago

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2 years ago

Terri rode her bike very slowly to the top of a big hill. Then she coasted back down the hill at a much faster speed. The distan

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Answer:

Terri’s speed can be calculated like this:

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Step-by-step explanation:

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2 years ago

Solve.

abruzzese [7]

Answer:

$x=\frac{15}{4}=3\frac{3}{4}$

Equation:

$\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}$

<h3>Step-by-step solution</h3>

Linear equations with one unknown

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1. Group all constants on the right side of the equation

$\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}$

Subtract $5/6$ from both sides:

$\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}$

Reduce the zero numerator:

$\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}$

Simplify the arithmetic:

$\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}$

Find the lowest common denominator:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}$

Multiply the denominators:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}$

Multiply the numerators:

$\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x=\frac{20-5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x=\frac{15}{6}$

Find the greatest common factor of the numerator and denominator:

$\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}$

Factor out and cancel the greatest common factor:

$\frac{2}{3}\cdot x=\frac{5}{2}$

2. Isolate the x

$\frac{2}{3}\cdot x=\frac{5}{2}$

Multiply both sides by inverse fraction 3/2:

$\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}$

Group like terms:

$\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}$

Simplify the fraction:

$x=\frac{5}{2}\cdot \frac{3}{2}$

Multiply the fractions:

$x=\frac{5\cdot 3}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{4}$

______________________

Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

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Terms and topics

Linear equations with one unknown

4 0

1 year ago