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slava [35]
3 years ago
6

What is the measure of n? ​

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

n = √108 or 6√3

Step-by-step explanation:

n is the altitude of the right triangle

Based on the right triangle altitude theorem, we would have:

h = √(xy)

Where,

h = n

x = 18

y = 6

Substitute

n = √(18*6)

n = √108

Or

n = 6√3

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The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.
Monica [59]

Equation to find number: \frac{1}{n} - 3 = \frac{20}{n}

Number's value: n = -\frac{19}{3}



Step-by-step explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be \frac{1}{n}.

The difference of three and the reciprocal of a number (\frac{1}{n}) would be \frac{1}{n} - 3.

The quotient of 20 and the number (n) would be \frac{20}{n}.

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation: \frac{1}{n} - 3 = \frac{20}{n}

To find what the number equals we must solve the equation.

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3 years ago
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kotegsom [21]

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

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Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

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