All categories

3 years ago

What are you building when you use a distance formula

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

In math, the distance formula gives us the distance between two

points, (x₁, y₁) and x₂, y₂):

$d = \sqrt{(x _{2}-x_{1})^{2} +(y _{2}-y_{1})^{2}}$

For example, in the triangle below, the distance between the points (1,5) and (-2, 1) is

$d = \sqrt{(1 - (-2))^{2} +(5-1)^{2}}$

$= \sqrt{3^{2} +4^{2}}$

$= \sqrt{9 + 16}$

$= \sqrt{25}$

= 5

You are really using Pythagoras' Theorem to find the distance.

When using the distance formula, you are building a right triangle whose hypotenuse connects two given points.

You might be interested in

A comparison of the measures of central angles and inscribed angles of circles to their intercepted arcs are listed in the table

geniusboy [140]

A central angle means an angle that is at the center of a circle and whose legs are intersecting the circle.

<h3>What is a central angle?</h3>

Your information is incomplete as the data is not given. Therefore, an overview will be given.

Central angles are shaped by an arc between the two points. When a central angle and the inscribed angle intercept the same arc, then the central angle would be the double of the inscribed angles while the inscribed angle will be half of the central angle.

Learn more about central angle on:

brainly.com/question/19758686

3 0

2 years ago

Is 3(x+2)-10=5x-6 one souliton

gulaghasi [49]

Answer:

one solution it is x=1

Step-by-step explanation:

i can type in the steps if you want

3 0

3 years ago

Read 2 more answers

A car insurance company has determined that 8% of all drivers were involved in a car accident last year. Among the 15 drivers li

svetlana [45]

Answer:

There is an 11.3% probability of getting 3 or more who were involved in a car accident last year.

Step-by-step explanation:

For each driver surveyed, there are only two possible outcomes. Either they were involved in a car accident last year, or they were not. This means that we solve this problem using binomial probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And $\pi$ is the probability of X happening.

In this problem

15 drivers are randomly selected, so $n = 15$ .

A success consists in finding a driver that was involved in an accident. A car insurance company has determined that 8% of all drivers were involved in a car accident last year. This means that $\pi = 0.08$ .

What is the probability of getting 3 or more who were involved in a car accident last year?

This is $P(X \geq 3)$ .

Either less than 3 were involved in a car accident, or 3 or more were. Each one has it's probabilities. The sum of these probabilities is decimal 1. So:

$P(X < 3) + P(X \geq 3) = 1$