All categories

3 years ago

Find the distance between the pair of points: (1,3) and (-6, -6).distance : ?

Mathematics

1 answer:

uysha [10]3 years ago

6 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{130} \: \: units}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( 1 , 3 ) be ( x₁ , y₁ )and B ( -6 , -6 ) be ( x₂ , y₂ )

Finding the distance between these points

$\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 6 - 1)}^{2} + {( - 6 - 3)^{2} } }}}$

$\longrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {( - 9)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{49 + 81}}}$

$\longrightarrow{ \sf{ \sqrt{130}}}$ units

Hope I helped!

Best regards! :D

You might be interested in

An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to create a t

Wewaii [24]

Answer:

the answer is C. class number and painting prefence

Step-by-step explanation:

hope this helps :) edge 2021

4 0

2 years ago

Read 2 more answers

You know that you want some type of wood flooring. You found these options at the store.

xenn [34]

Answer:

how much wood do you need

8 0

2 years ago

What is 1.11 as a mixed & improper fraction?

8090 [49]

Mixed fraction: 1 11/100
Improper fraction: 111/100

8 0

3 years ago

Read 2 more answers

Find principle amount that will grow to $25,000 if interest is 3.2% compounded monthly for 3 years?

matrenka [14]

Answer:

$260,416

Step-by-step explanation:

$25,000/(0.032*3)= $260,416

8 0

3 years ago

Read 2 more answers

Int(1 \(1 + {e}^{x} )

Andreyy89

Answer:

$\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx}= x - \ln(1 + e^{x}) + C\end{aligned}$ .

Step-by-step explanation:

The first derivative of the denominator $1 + e^{x}$ is $e^{x}$ . Rewrite the fraction to obtain that expression on the numerator.

$\begin{aligned}\frac{1}{1 + e^{x}} &= \frac{1 + e^{x}}{1 + e^{x}} - \frac{e^{x}}{1+e^{x}}\\&=1-\frac{e^{x}}{1+e^{x}}\end{aligned}$ .

In other words,

$\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\end{aligned}$ .

Apply $u$ -substitution on the integral $\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx}$ :

Let $u = 1 + e^{x}$ . $u > 1$ .

$du = e^{x}\cdot dx$ .

$\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx} = \int{\frac{du}{u}} = \ln{|u|} = \ln{u} +C = \ln{(1+e^{x})}+C$ .

Therefore

$\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\\ & = x - \ln{(1 + e^{x})}+C\end{aligned}$ .

7 0

2 years ago

Find the distance between the pair of points: (1,3) and (-6, -6).distance : ?​

Find the distance between the pair of points: (1,3) and (-6, -6).distance : ?