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3 years ago

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A parabola passes through the points (0,-2) (2,-6) and (5,3) what is the equation of the parabola in standard form?

1 answer:

Nezavi [6.7K]3 years ago

7 0

How many floors are between the seventh and fifteenth floors?

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4x+12+2=23<br> Solve the multi step equation

Eduardwww [97]

Answer: x = 9/4

Step-by-step explanation:

4x+12+2=23

4x+14 = 23

4x = 9

x = 9/4

7 0

3 years ago

Read 2 more answers

The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

3 years ago

Read 2 more answers

Consider the matrix shown below:

DanielleElmas [232]

The awnsor is b hope this helped

8 0

3 years ago

Evaluate if a = 3, b = 4<br>a² +6²<br>a-b

____ [38]

Answer:

a^2 + 6^2:

3^2 + 6^2

9 + 36 = 45

answer: 45

a-b

3-4

-1

answer: -1

Step-by-step explanation:

3 0

3 years ago

HELP PLZZZ I NEED ANSWERS

asambeis [7]

Answer:

D.

Step-by-step explanation:

y = (x - 5)^2 + 16

= x^2 - 5x - 5x + 25 + 16

= x^2 - 10x + 41

That corresponds with answer choice D.

Hope this helps!

3 0

3 years ago