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2 years ago

6

Evaluate 8^-2 pls only real answers

1 answer:

Burka [1]2 years ago

8 0

Step-by-step explanation:

By Law of Indices,

8^(-2) = 8^0 / 8^2

= 1 / 64.

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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

2 years ago

Read 2 more answers

Find the whole. 10% of is 14.

Aleonysh [2.5K]

140 is the answer! hope it helped

3 0

3 years ago

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Harry's parrot is 11 years older than his cat.

Sav [38]

Answer:

The answer to your question is: P = 17 years

Step-by-step explanation:

Data

Parrot = 11 years older than the cat

C = cat age

P = parrot age

P = ? when C = 6

Process

P = C + 11

P = 6 + 11

P = 17 years

8 0

3 years ago

How many solutions does the system of equations have? 4x= -12y +16 and x+3y=4

Verdich [7]

Answer:

x=4-3y

Step-by-step explanation:

7 0

2 years ago

Simplify 13 +4(9-7) and solve

Sliva [168]

Answer:

21

Step-by-step explanation:

13 + 4(9-7) =

13 + 4(2) =

13 + 8 = 21

4 0

2 years ago

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