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3 years ago

Find the sum 1/7 + 2/5

Mathematics

2 answers:

AlladinOne [14]3 years ago

8 0

Answer:

Step-by-step explanation:

To add efficiently, you would need to have a common denominator. in this case the least common denominator (LCD) would be 35. 1/7 = 5/35 and 2/5 = 14/35

add the numerators together to get your answer:

19/35

dusya [7]3 years ago

6 0

Answer:

19/35

Step-by-step explanation:

make the denominator 35

so 1/7 times 5/5= 5/35

2/5 times 7/7= 14/35

14/35 plus 5/35= 19/35

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

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

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

Graph the line by plotting y=x+8

Zarrin [17]

The equation y = x + 8 uses the slope intercept form

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

In this case

y = 1x + 8

m = 1

y = x + 8

b = 8 OR y-intercept of this line is (0, 8)

You can plot the point (0, 8) on a graph. Then to find the next point you will rise up 1 and over right 1 (this is the slope). You can find another point after that by going down one and left one from the point (0, 8)

The graph should look like the one in the image below

Hope this helped! Let me know if you have any further questions

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