Ask question

Ask question

All categories

3 years ago

12

Acellus

1 answer:

ss7ja [257]3 years ago

6 0

Answer:

$AB = 3.6$

Step-by-step explanation:

Given

The attached graph

Required

Distance AB

From the graph:

$A = (-2,1)$

$B = (1,-1)$

The distance is:

$AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

$AB = \sqrt{(-2 -1)^2 + (1- -1)^2}$

$AB = \sqrt{(-2 -1)^2 + (1+1)^2}$

$AB = \sqrt{13}$

$AB = 3.6$

You might be interested in

I need help!!!!!<br> Help Needed!!!!!!!!!!!

dangina [55]

Is there any more information than just that picture? Please tell me

8 0

3 years ago

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

Calculate the value of 3a – 4b + 6c – 3d, when <br> a = 5 b = 4 c = 3 d = 2

Ne4ueva [31]

Answer:

3a – 4b + 6c – 3d

when a = 5 b = 4 c = 3 d = 2

the value

= 3×5 - 4×4 + 6×3 - 3×2

=15-16+18-6

=11

3 0

2 years ago

Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.

ivann1987 [24]

Answer:

the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26

Step-by-step explanation:

Mean=sum of observation/ No. of observation

={5+8+ 10+ 15 + 22}/5

=60/5=12

Sum of deviations

= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|

= 7+4+2+ 3+ 10

= 26

3 0

2 years ago

Identify the slope in -4x+3y=26

Strike441 [17]

-4 is the slope in the equation

3 0

2 years ago

Read 2 more answers