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3 years ago

What is the slope of the line that passes through the points (2,4) and (6,12)

Mathematics

2 answers:

Daniel [21]3 years ago

8 0

Answer: 2

Explanation: To solve this problem, it's important to understand that we don't need to graph the line but we can use our slope formula. One method you could use is the graphing method which requires you to plot the points but I will be showing you the slope formula.

$m =\frac{ ^{y}2 - ^{y}1 }{x^{2} - x^{1} }$

We take our second y minus our first y

which in this case is 12 - 4

over our second x minus our first x

which in this case is 6 - 2.

So 12 - 4 over 6 - 2 simplifies to 8/4.

Notice that our slope can

be simplified one step further.

So 8/4 reduces to 2.

So the slope of the line that passes through these points is 2.

ankoles [38]3 years ago

4 0

Answer:

Step-by-step explanation:

because yes

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Number 6,8, and 10.

Aliun [14]

I think number 10 is 4/9

6 0

3 years ago

James wants to build a wooden planter box for his garden with a volume of 100 cubic feet. If he constructed the planter with a h

EastWind [94]

Answer:

The length of the box is 10 feet.

Step-by-step explanation:

You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10

7 0

3 years ago

Add [1/-4 3/5] [-2/6 -2/4]

brilliants [131]

Answer:

25/138

Step-by-step explanation:

1 Convert 4\frac{3}{5}4

to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

\frac{1}{-(\frac{4\times 5+3}{5})}(-\frac{2}{6}-\frac{2}{4})

−(

4×5+3

)

(−

−

)

2 Simplify 4\times 54×5 to 2020.

\frac{1}{-(\frac{20+3}{5})}(-\frac{2}{6}-\frac{2}{4})

−(

20+3

)

(−

−

)

3 Simplify 20+320+3 to 2323.

\frac{1}{-(\frac{23}{5})}(-\frac{2}{6}-\frac{2}{4})

−(

)

(−

−

)

4 Simplify \frac{2}{6}

to \frac{1}{3}

\frac{1}{-(\frac{23}{5})}(-\frac{1}{3}-\frac{2}{4})

−(

)

(−

−

)

5 Simplify \frac{2}{4}

to \frac{1}{2}

\frac{1}{-(\frac{23}{5})}(-\frac{1}{3}-\frac{1}{2})

−(

)

(−

−

)

6 Find the Least Common Denominator (LCD) of \frac{1}{3},\frac{1}{2}

. In other words, find the Least Common Multiple (LCM) of 3,23,2.

LCD = 66

7 Make the denominators the same as the LCD.

-\frac{1\times 2}{3\times 2}-\frac{1\times 3}{2\times 3}−

3×2

1×2

−

2×3

1×3

8 Simplify. Denominators are now the same.

-\frac{2}{6}-\frac{3}{6}−

−

9 Join the denominators.

\frac{-2-3}{6}

−2−3

10 Simplify -\frac{1}{3}-\frac{1}{2}−

−

to -\frac{5}{6}−

\frac{1}{-(\frac{23}{5})}\times \frac{-5}{6}

−(

)

−5

11 Move the negative sign to the left.

-\frac{1}{\frac{23}{5}}\times \frac{-5}{6}−

−5

12 Invert and multiply.

-\frac{5}{23}\times \frac{-5}{6}−

−5

13 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

-\frac{5\times -5}{23\times 6}−

23×6

5×−5

14 Simplify 5\times -55×−5 to -25−25.

-\frac{-25}{23\times 6}−

23×6

−25

15 Simplify 23\times 623×6 to 138138.

-\frac{-25}{138}−

138

−25

16 Move the negative sign to the left.

-(-\frac{25}{138})−(−

138

)

17 Remove parentheses.

\frac{25}{138}

138

7 0

3 years ago

A number z is fewer than 3/4

lozanna [386]

Answer:

z < ¾

Step-by-step explanation:

Or z < 0.75

...........

4 0

3 years ago

Find the right quotient. 36m 5 n 5 ÷ (12m 3)

polet [3.4K]

ANSWER

The right quotient is

$3 {m}^{2} {n}^{5}$

EXPLANATION

The given expression is :

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} }$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = \frac{36}{12} \times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3\times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

Recall that,

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$
We apply this property to obtain;

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 \times {m}^{5 - 3} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 {m}^{2} {n}^{5}$

5 0

3 years ago

Read 2 more answers