All categories

3 years ago

What is the distance between the two points (-8,-6) and (-2,4)?

Mathematics

1 answer:

MAVERICK [17]3 years ago

6 0

Answer:

$\sqrt{136}$ = 11.66 units

Step-by-step explanation:

distance between 2 points (a,b) and (c,d) = $\sqrt{(a^{2}-c^{2} ) +(b^{2}-d^{2} ) }$

= $\sqrt{((-8)^{2}-(-2)^{2} ) + ((-6)^{2}-4^{2}) }$

= $\sqrt{136}$

= 11.66 units

You might be interested in

Tìm kiếm x y z x-1/y =1 y-1/z =1 z-1/x =1

const2013 [10]

y - 1/z = 1 ==> y = 1 + 1/z

z - 1/x = 1 ==> z = 1 + 1/x

==> y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)

x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1

==> 2x ² - 1 = 2x + 1

==> 2x ² - 2x - 2 = 0

==> x ² - x - 1 = 0

==> x = (1 ± √5)/2

If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.

3 0

2 years ago

If Gabby wants to make a regular octagon with a side length of 20 inches using a wire how much wire does she need? Justify your

liraira [26]

Answer: 160 inches.

Step-by-step explanation:

If an octagon has 8 sides and the side length is 20 inches, 20 x 8 = 160 inches. That means she needs 160 inches of wire.

4 0

3 years ago

-11 X +4+ 8X -4+ 3X equals

maksim [4K]

Answer:

Step-by-step explanation:

First what you want to do is add together the common numbers

So, take all of the X's and add them together

(-11, 8, and 3)

-11x + 8x + 3x

-3x + 3x

So that all evens out

Now just find the other values

(4 and -4)

4 - 4

This equation equals 0

Hope this helps!!!

-Unicorns110504

*Please mark brainliest*

6 0

3 years ago

Read 2 more answers

Let represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of is as follows.

Sindrei [870]

Answer:

a) $P(X=3) = 0.1$

b) $P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

c) $P(X=4) = 0.3$

d) $P(X=0) = 0.2$

e) $E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

f) $E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

Step-by-step explanation:

We have the following distribution

x 0 1 2 3 4

P(x) 0.2 0.3 0.1 0.1 0.3

Part a

For this case:

$P(X=3) = 0.1$

Part b

We want this probability:

$P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

Part c

For this case we want this probability:

$P(X=4) = 0.3$

Part d

$P(X=0) = 0.2$

Part e

We can find the mean with this formula:

$E(X)= \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

Part f

We can find the second moment with this formula

$E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

4 0

3 years ago

Weights of babies at the local community hospital have a distribution that is approximately normal with a mean weight of 7.43 po

KengaRu [80]

Answer:

Step-by-step explanation:

Hope this helped

4 0

3 years ago