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monitta
3 years ago
6

Please help me solve this. :)​

Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer:

40

Step-by-step explanation:

   Given problem:

            x² - y²

x+ y = 10

x - y = 4

Solution:

Using the concept of differences of two squares;

      x² - y² = (x + y)(x - y)

                 

So;

      x² - y²  = 10 x 4 = 40

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Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

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The distance to his friend's house and the distance of return is the same

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10x-4x=\frac{18}{15}

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The total distance of the round trip is

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y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}

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6 0
3 years ago
Find the slope of the line that passes through the points (0,-11) and (8,-8).
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To find the slope of a line, we can use the following formula:

\displaystyle \large{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

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\displaystyle \large{(x_1,y_1) = (0, - 11)} \\  \displaystyle \large{(x_2,y_2) = (8, - 8)}

Substitute the points in formula:

\displaystyle \large{m =  \frac{ - 8 -( - 11)}{ 8 - 0} }

Negative multiply negative always come out as positive.

\displaystyle \large{m =  \frac{ - 8  +  11}{ 8 - 0} } \\  \displaystyle \large{m =  \frac{ 3}{ 8 } } \\

Since m stands for slope, we can say that:

\displaystyle  \large \boxed{ \tt{slope  =  \frac{3}{8} }}

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Slope is -3
Explanation
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