6 times a number is 27 less than the square of that number. Find the positive solution.

Mathematics

1 answer:

Sedaia [141]3 years ago

7 0

Answer:

Step-by-step explanation:

6n = n² - 27

n² - 6n - 27 = 0

n² - 9n + 3n - 27 = 0

n(n - 9) + 3(n - 9) = 0

(n - 9)(n + 3) = 0

n = -3, 9

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3 years ago

What is m∠C? Enter your answer in the box. m∠C= °

serious [3.7K]

Answer:

m∠C = 60°

Step-by-step explanation:

First, let's start with the fact that all angles in a triangle add up to 180°. That means that:

x+3x+2x=180°

We can simplify it into:

6x=180°

To figure out x, we need to divide 180 by 6.

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3 years ago

Can someone plz help me thank you

rodikova [14]

7.

Direct variation is:

$\sf y=kx$

Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:

$\sf -6=k(10)$

Divide 10 to both sides:

$\sf k=-\dfrac{3}{5}$

Plug this in for 'k' in our formula:

$\sf y=-\dfrac{3}{5}x$

This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':

$\sf y=-\dfrac{3}{5}(5)$

Multiply:

$\boxed{\sf y=-3}$

9.

Let's plug in y = 9 and x = 8 into our formula:

$\sf 9=k(8)$

Divide 8 to both sides:

$\sf k=\dfrac{9}{8}$

So our equation is:

$\sf y=\dfrac{9}{8}x$

Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:

$\sf 18=\dfrac{9}{8}x$

Divide 9/8 to both sides or multiply by its reciprocal 8/9:

$\sf x=18\cdot\dfrac{8}{9}\rightarrow \boxed{\sf 16}$