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2 years ago

What is the slope of the line passing through the points (1, 2) and (5, 4)? A .−2 B.12 C.1 D.2

Mathematics

1 answer:

LekaFEV [45]2 years ago

3 0

Answer:

B, 1/2

Step-by-step explanation:

The equation for slope of line is $\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{4-2}{5-1}= \frac{2}{4} = \frac{1}{2} , B$

<em>I hope this helps! :)</em>

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2 years ago

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Mamont248 [21]

Answer:

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3 years ago

I need help fast please!!

kaheart [24]

Solution set is: ( $7,\frac{13}{3}$ )

Option B is correct

Step-by-step explanation:

We need to find the solution to system of equations

$y=\frac{1}{3}x+2\\y=\frac{4}{3}x-5$

Let:

$y=\frac{1}{3}x+2\,\,\,eq(1)\\y=\frac{4}{3}x-5\,\,\,eq(2)$

Putting value of y from eq(2) into eq(1)

$\frac{4}{3}x-5=\frac{1}{3}x+2\\Combining\,\,like\,\,terms:\\\frac{4}{3}x-\frac{1}{3}x=2+5\\Taking\,\,LCM\\\frac{4x-1x}{3}=7\\\frac{3x}{3}=7\\x=7$

So, value of x=7

Putting value of x into equation 1 to find the value of y:

$y=\frac{1}{3}x+2\\y=\frac{1}{3}(7)+2\\y=\frac{7}{3}+2\\Taking\,\,LCM\\y=\frac{7+2*3}{3}\\y=\frac{7+6}{3}\\y=\frac{13}{3}$

So, value of y = $\frac{13}{3}$

Solution set is: ( $7,\frac{13}{3}$ )

Option B is correct

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

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3 years ago

What is the volume of the figure below, which is composed of two cubes with side lengths of 7 units?

wariber [46]

Answer:

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Step-by-step explanation:

If one cube has a side length of 7, then it equals to 343 cubic units. Since there are 2 cubes, this translates to 686 cubic units.

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2 years ago