All categories

3 years ago

What is the length of the segment whose endpoints are A(-4, 3) and B (10, 6)?

Mathematics

2 answers:

nlexa [21]3 years ago

7 0

Apply Pythagoras:

length = sqrt( (10--4)² + (6-3)² ) = sqrt(205)

Alik [6]3 years ago

5 0

Answer: The correct option is (B) $\sqrt{205}.$

Step-by-step explanation: We are given to find the length of the segment whose endpoints are A(-4, 3) and B (10, 6).

We know that

the length of a line segment with endpoints (a, b) and (c, d) is calculated using distance formula as follows :

$D=\sqrt{(c-a)^2+(d-b)^2}.$

Therefore, using distance formula, the distance between the endpoints A(-4, 3) and B (10, 6) is given by

$AB\\\\=\sqrt{(10-(-4))^2+(6-3)^2}\\\\=\sqrt{(10+4)^2+3^2}\\\\=\sqrt{14^2+9}\\\\=\sqrt{196+9}\\\\=\sqrt{205}.$

Thus, the length of the line segment AB is $\sqrt{205}~\textup{units}.$

Option (B) is CORRECT.

You might be interested in

The sides of this rectangle are

Naddik [55]

The longer side is at first 7cm and the shorter is 2cm.

So since 7cm(the longer side)×5=35cm then the shorter side(2cm) multiplied by 5 should give you the right answer.

8 0

3 years ago

Please help me with this please and thank you please actually help me

fgiga [73]

Answer:

-5, -8, -11

Step-by-step explanation:

it every -3

5 0

2 years ago

Read 2 more answers

How do you know that 35x5=5x35 without finding the products?

Maurinko [17]

They equal 5*5=25 and 35*35=1225

5 0

3 years ago

Here is the assignment : You are "selling" the polynomial. You must convince the buyer you have the Best polynomial on the marke

swat32

Step-by-step explanation:

A polynomial is an expression that can be built from constants and symbols called variables or indeterminates by means of addition, multiplication and exponentiation to a non-negative integer power. Two such expressions that may be transformed, one to the other, by applying the usual properties of commutativity, associativity and distributivity of addition and multiplication, are considered as defining the same polynomial.

A polynomial in a single indeterminate x can always be written (or rewritten) in the form

{\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},}a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},

where {\displaystyle a_{0},\ldots ,a_{n}}a_{0},\ldots ,a_{n} are constants and {\displaystyle x}x is the indeterminate.[2][3] The word "indeterminate" means that {\displaystyle x}x represents no particular value, although any value may be substituted for it. The mapping that associates the result of this substitution to the substituted value is a function, called a polynomial function.

This can be expressed more concisely by using summation notation:

{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}

That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number – called the coefficient of the term[a] – and a finite number of indeterminates, raised to nonnegative integer

3 0

3 years ago

Consider all 5 letter "words" made from the full English alphabet. (a) How many of these words are there total? (b) How many of

VARVARA [1.3K]

Answer:

a) There are 11,881,336 of these words in total.

b) There are 7,893,600 of these words with no repeated letters.

c) 896,376 of these words start with an a or end with a z or both

Step-by-step explanation:

Our words have the following format:

L1 - L2 - L3 - L4 - L5

In which L1 is the first letter, L2 the second letter, etc...