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Galina-37 [17]
2 years ago
14

Find the missing side of the right triangle. Side a = 10 and side b = 5

Mathematics
1 answer:
Levart [38]2 years ago
3 0

Assuming that C is the hypotenuse...

The formula you want to use is:

a^2 + b^2 = c^2

We start by squaring 10, which is 100. 5^2 is 25. Now that we have the values, we can do the equation.

100+25=c^2                  100+25=\sqrt{125}

Now, square root \sqrt{125}

C= 11.180

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scZoUnD [109]

Answer:

y = 3x +2

Step-by-step explanation:

It is helpful to be acquainted with the parts of at least a couple of different forms of the equation for a line.

You are given the equation of a line in "slope-intercept" form. It looks like ...

... y = mx + b . . . . . . . where m=-1/3 and b=-1

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Here's where another form of the equation for a line is useful. We can write the "point-slope" form* as ...

... y = m(x -h) +k . . . . . . for a line of slope m through point (h, k)

We want our line of slope = 3 to go through the point (1, 5), so its equation can be ...

... y = 3(x -1) +5 . . . . . . . variation of "point-slope" form

The given equation is in slope-intercept form, and the question asks for "the" equation of the line, so we probably should write our answer in the same form as the given equation. We can do this by eliminating the parentheses and simplifying the equation we have.

... y = 3x -3 +5 . . . . eliminate parentheses using the distributive property

... y = 3x +2 . . . . . . collect terms

The graph shows our result is at least plausible: it looks like it is perpendicular, and it goes through the given point.

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<em>*Comment on point-slope form</em>

Usually, you will see "point-slope" form written as ...

... y -k = m(x -h) . . . . . . . . standard version of "point-slope" form

When our intent is to use this form to get to slope-intercept form, it is more convenient to add k to this equation to get ...

... y = m(x -h) +k . . . . . . . occasionally useful version

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