Ask question

Ask question

All categories

1 year ago

8

Determine the length of the line segment shown. line segment from negative 10 comma 9 to 5 comma negative 1 4 units 18 units 19

units 21 units

2 answers:

serg [7]1 year ago

8 0

Answer:

18 units

Step-by-step explanation:

$\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}$

Given endpoints of the line segment:

(-10, 9)
(5, -1)

To determine the length of the line segment, substitute the given endpoints into the distance formula:

$\begin{aligned}\implies d&=\sqrt{(5-(-10))^2+(-1-9)^2}\\&=\sqrt{(15)^2+(-10)^2}\\&=\sqrt{225+100}\\&=\sqrt{325}\\&=18.02775638...\end{aligned}$

Therefore, the length of the line segment is 18 units (nearest integer).

user100 [1]1 year ago

4 0

The length of the line segment is (b) 18 units

<h3>How to determine the length of the line segment?</h3>

The line segment is given as

ine segment from negative 10 comma 9 to 5 comma negative 1

This can be rewritten as

line segment from (-10, 9) to (5, -1)

The length of the line segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (-10, 9) to (5, -1)

Substitute the known values in the above equation, so, we have the following representation

Length = √[(-10 - 5)² + (9 + 1)²]

Evaluate

Length = 18

Hence, the length is 18 units

Read more about distance at

brainly.com/question/7243416

#SPJ1

You might be interested in

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

Multiply (5a+7)(5a-7)

vovikov84 [41]

Answer:

25a^2-49

Step-by-step explanation:

1)use FOIL

F=first

O=out

I=inside

L=last

5a*5a+5a*-7+7*5a*7*-7

25a^2-35a+35a-49

25a^2-49

Hope this helps!

5 0

3 years ago

Read 2 more answers

What is the solution to log (9x)-log 3 = 3?

xeze [42]

Answer:

The solution x = $\frac{e^{3} }{3}$

Step-by-step explanation:

<u>Step 1</u>:-

Given $log(9 x) -log 3 =3$

we have to use formula $log a-log b=log\frac{a}{b}$

$log(9 x)- log 3 = log(\frac{9 x}{3} )$ = $3$

Again by using formula $log a =b$

$a = e^{b}$

so $\frac{9 x}{3} =e^{3}$

<u>step 2:</u>-

$3 x = e^{3}$

$x = \frac{e^{3} }{3}$

The solution of given problem is $x=\frac{e^3}{3}$

5 0

3 years ago

Star Time:7:30 A.M Elapsed Time:2 hours, 20 minutes End Time is

Nesterboy [21]

Answer:

9:50 A.M.!

Step-by-step explanation:

7 HRS +2 HRS = 9 HRS

30 MINS + 20 MINS = 50 MINS

3 0

2 years ago

Which function is a quadratic function?

Mnenie [13.5K]

Answer:

The answer is A I believe.

5 0

2 years ago