Solve each proportion. 2/8=5/r+8

Mathematics

1 answer:

brilliants [131]2 years ago

6 0

Answer:

r=-20/31

Step-by-step explanation:

1)divide the numbers

2) subtract 8 from both sides of the equation

You might be interested in

A bus driver started her day with an empty bus. At her first stop she picked up

lidiya [134]

Answer:

12 people.

Step-by-step explanation:

Let's do this one at a time.

First stop:

0 + 11 = 11

Second stop:

11 + 5 = 16.

16 - 7 = 9.

Third stop:

9 + 5 = 14.

14 - 2 = 12.

There were 12 people on the bus after the driver left the third stop.

8 0

2 years ago

Which of the following represents 5x 4/9 in radical formj

solong [7]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
5x^{\frac{4}{9}}\implies 5\sqrt[9]{x^4}$

3 0

3 years ago

Y=x^2-6x-16 in vertex form

satela [25.4K]

Answer:

$y=(x-3)^{2} -25$

Step-by-step explanation:

The standard form of a quadratic equation is $y=ax^{2} +bx+c$

The vertex form of a quadratic equation is $y=a(x-h)^{2} +k$

The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.

To find the h-value of the vertex, you use the following equation:

$h=\frac{-b}{2a}$

In this case, our quadratic equation is $y=x^{2} -6x-16$ . Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.

$h=\frac{-b}{2a}$ ⇒ $h=\frac{-(-6)}{2(1)}=\frac{6}{2} =3$

Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is $y=x^{2} -6x-16$

$y=x^{2} -6x-16$ ⇒ $y=(3)^{2} -6(3)-16$ ⇒ $y=9-18-16$ ⇒ $y=-25$