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3 years ago

How do you the equation of the line that passes through x-intercept (–8, 0) and undefined slope?

1 answer:

8 0

If the slope is undefined, then your line is a vertical line since vertical lines can have no slope (they don't have any lateral movement). Because it must pass through (- 8, 0), x must = - 8.

Your equation is x = - 8

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Write a numerator that makes the statement true. 1/2 < /10 < 4/5

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10/5

Step-by-step explanation:

Because 10 is half of 5 and they are asking what will make this statement true 1/2 is half too

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In the Treasure, Treasure! video game, players gain and lose points by finding and losing treasure. In Level 2, Leslie earned

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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 $y=x^{2} -6x-16$

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

This y-value that we just found is our k-value.

Next, we are going to set up our equation in vertex form. As a reminder, vertex form is: $y=a(x-h)^{2} +k$

a: 1

h: 3

k: -25

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

Hope this helps!

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3 years ago

The Lovin' Lemon Company sells a 4-gallon jug of lemonade for $24. The Sweet and Sour company sells an eight-pack of one quart b

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Sweet and Sour, as 8 quarts is only 2 gallons, for more than half the price ( if they were equal) than the price if the Lovin' Lemon companies lemonade.

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2 years ago