Select all the equations for which (-6,-1) is a solution. *

Goshia [24]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

Because we are looking for the scale factor of the model to the bridge (model first), the scale factor will be less than one.

$\frac{5}{30}=\frac{1}{6}$

$\frac{6}{36} =\frac{1}{6}$

$\frac{9}{54} =\frac{1}{6}$

Each fraction ( $\frac{model}{bridge}$ ) can be simplified to $\frac{1}{6}$ . Therefore, the scale factor of the model to the bridge is $\frac{1}{6}$ .

4 0

3 years ago

In Raul's Neighborhood, the number of dog owners is 4 less than twice the number of cat owners. If 16 people own a dog, how many

andreyandreev [35.5K]

Answer:

36

Step-by-step explanation:

3 0

3 years ago

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Consider the quadratic function f(x)=−x^2+x+30

yaroslaw [1]

Answer:

The smallest xx-intercept is $x = -5$

The largest xx-intercept is $x = 6$

The yy-intercept is $y = 30$ .

Step-by-step explanation:

Given a quadratic function in the following format:

$f(x) = ax^{2} + bx + c = 0, a \neq 0$

The x-values of the x-intercepts are $x_{1}, x_{2}$ , given by the following formulas.

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

We have that:

$f(x) = -x^{2} + x + 30$

This is not in the format above. I will multiply by (-1), so we have:

$f(x) = x^{2} - x - 30$

So, $a = 1, b = -1, c = -30$

$\bigtriangleup = b^{2} - 4ac = (-1)^{2} - 4*(1)*(-30) = 1 + 120 = 121$

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) + \sqrt{121}}{2(1)} = \frac{12}{2} = 6$

$x_{2} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) - \sqrt{121}}{2(1)} = \frac{-10}{2} = -5$

This means that

The smallest xx-intercept is $x = -5$

The largest xx-intercept is $x = 6$

The y-intercept is the value of f(x) when x = 0. So

$f(x)=−x^{2}+x+30$

$f(0) = 30$

The yy-intercept is $y = 30$ .

5 0

3 years ago

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 inc

My name is Ann [436]

He will need 17 inches of ribbon.

The diagonal splits the square into two right triangles. We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):

12² + 12² = x²
144 + 144 = x²
288 = x²

Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x

8 0

4 years ago

Who wants 40 points ?? answer this

galina1969 [7]

Answer:

22

Step-by-step explanation:

i think

5 0

3 years ago

Read 2 more answers