All categories

2 years ago

IfA=(-2,-4) and B=(-8,4), what is the length of AB?

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

3 0

Answer:

<h2>10 units </h2>

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

$ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units$

Hope this helps..

Good luck on your assignment

You might be interested in

Which of the series below converge? 1 + 9 + 81 + 729 + … 1 + 0.25 + 0.0625 + 0.015625 + … 625 – 125 + 25 – 5 + … 8 – 16 + 32 – 6

Vanyuwa [196]

Answer:

B, C, E

Step-by-step explanation:

Got it right on edge

6 0

3 years ago

If d is the midpoint of ce, ce=10x+18 and de=7x-1, find x

sashaice [31]

Given that D is the mid point of CE ,

So D will bisect CE, it means the length of DE and CD is equal.

=> DE + CD = CE

As DE and CD are equal,

=> DE + DE = CE

=> 2 DE = CE

Putting values from the question,

=> 2( 7x - 1 ) = 10x + 18

=> 14x - 2 = 10x + 18

=> 14x - 10x = 18 + 2

=> 4x = 20

=> x = 20 / 4

=> x = 10 / 2

=> x = 5

$.$

Therefore, the value of x is 5

7 0

3 years ago

Read 2 more answers

Is 6 classified as an integer?

cupoosta [38]

Answer:

Yes

Step-by-step explanation:

An integer is any whole number.

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!

7 0

3 years ago

What does 5,000 pounds=tons?

PilotLPTM [1.2K]

5,000 pounds = 2.5 tons.

Hope this helps! :D

3 0

3 years ago

1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n

Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

70% of fatalities involve an intoxicated driver, hence $p = 0.7$ .

A sample of 15 fatalities is taken, hence $n = 15$ .

The probability is:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

Hence

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061$

$P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186$

$P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700$

$P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916$

$P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305$

$P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047$

Then:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215$

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0

2 years ago