Find the distance between the two points in simplest radical form.
(8, – 7) and (1, -1)

Answers

Answer 1

Answer:

The distance between the two points is [tex]\sqrt{85}[/tex] units

Step-by-step explanation:

Let us revise the rule of the distance between two point [tex](x_{1},y_{1})[/tex] and  [tex](x_{2},y_{2})[/tex]

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

∵ We need to find the distance between the two points (8, -7) and (1, -1)

→ Let [tex]x_{1}[/tex] = 8 and [tex]x_{2}[/tex] = 1

→ Let [tex]y_{1}[/tex] = -7 and [tex]y_{2}[/tex] = -1

→ Substitute their values in the rule above

∴ [tex]d=\sqrt{(1-8)^{2}+(-1--7)^{2}}[/tex]

∴ [tex]d=\sqrt{(-7)^{2}+(-1+7)^{2}}[/tex]

∴ [tex]d=\sqrt{49+36}[/tex]

∴ [tex]d=\sqrt{85}[/tex]

→ Simplify the radical

∵ 85 = 5 × 17

→ Both of them are prime numbers

∴ The simplest form of [tex]\sqrt{85}[/tex] is [tex]\sqrt{85}[/tex]

The distance between the two points is [tex]\sqrt{85}[/tex] units


Related Questions

if f(x) =- 3x - 9, find f(5)​

Answers

The value of f(5) will be "-24".

Polynomial functions

A function would be an equation that typically contains only non-negative integers (-) powers or even just positive integer (+) multipliers of variables, such as the quadratic function, cubed equation, and so forth, is considered as Polynomial functions.

According to the question,

The given function is:

f(x) = -3x - 9

By substituting "5" in place of "x", we get

→ f(5) = -3(5) - 9

By solving the bracket, we get

         = -15 - 9

         = -24

Thus the above response is correct.

Find out more information about function here:

https://brainly.com/question/24380382

Answer:

F(5)=6

Step-by-step explanation:

Just did the question on my test

Which quantity is proportional to 21/28?
Check all that are true.
15/20
314
213
7/14
18/24
Please help me asap

Answers

18/24 is the correct answer

PLEASE MY CLASS ENDS IN 7 MINUTES!!! I DONT WANT TO FAIL!!

Answers

the answer is A i think

Answer:

I think B

Step-by-step explanation:

13.77 times the number of people gives you your answer, so probably C=13.77p

Explain how to find the perimeter of a rectangle given the length is (2x - 4) and the width is (4x + 5).

Answers

Answer:

12x+2

Step-by-step explanation:

multiply width and length by 2 and add them together

The area of a rectangle can be written as the sum of the areas of all its parts.What is a sum of the areas?

Answers

Volume

Volume is the quantity of three-dimensional space enclosed by a closed surface

List all the factors of 28 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
SUBMIT

Answers

Answer:

1,2,4,7,14,28

Step-by-step explanation:

because I'm smart

1. twice the square of the sum of a number and 3 is 98.find the number​

Answers

Answer:

Step-by-step explanation:

Let the number be x.

twice the square of the sum of a number and 3 is expressed as;

2(x+3)²

If the expression is equal to 98, then;

2(x+3)² = 98

divide both sides by 2;

2(x+3)²/2 = 98/2

(x+3)² = 49

square root both sides

√(x+3)² = √49

x+3 = ±7

x = ±7-3

x = 7-3 or -7-3

x = 4 or -10

Hence the number is 4 or -10

The number is -4 or 10

Let n represent the unknown number

The following equation can be used to summarise the information given in the question

2 × n² = 98

The first step to take in order to determine the value of n is to divide both sides of the equation by 2

n² = 98/2

n² = 49

The second step is to determine the square root of both sides of the equation

n =√49

n =-7 or +7

The number = - 7 + 3 = - 4 or 7 + 3 = 10

A similar question was solved here: https://brainly.com/question/18118670?referrer=searchResults

I need help graphing 2x - 6y = 42 I'm just really lazy​

Answers

Answer:

We can use slope intercept form to get the points needed. Y= -7+1/3x The points are (0,-7) and (3,-6)

Step-by-step explanation:

Subtract 2x from the left side and place it over to the right side with the 42. Now we have -6y= 42-2x. From here we divide by -6 and we get y= -7+1/3x. We know that are slope is 1/3 which the one is the rise and the 3 is the run. We also know that our y intercept is -7. We plot the points at (0,-7) and (3,-6)

help find the slope of the line

Answers

Answer:

-3/5

Step-by-step explanation:

When finding the slope, think of it as rise/run.

Rise= up/down

run=left or right

So looking at the line, it is pointing towards -inf so the slope is negative

Then we look at 2 points.

i.e. (0,2) and (-5,5) and do the rise over run technique (or just subtract) and you get your answer!

Which equation has a constant of proportionality equal to 3

Answers

Answer:

y=3x

Step-by-step explanation:

PLEASE HELPPPPPP!!!!!!! [easy]

Answers

Answer:        d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

PLZ NEED HELP ASAP. Find the missing values for the table.

Answers

Answer:

candy 7

packs 5

Step-by-step explanation:

Answer:

Option A!

Step-by-step explanation:

Hey there!

To figure out the ratio of candies per packs, we divide 21 (candy) by packs (3) and we get 7. This means that there are 7 candies per pack! So, in 1 pack, there are 7 candies and when there are 35 candies, we divide 35 by 7 and get 5.

So, in one pack there are 7 candies and there are 35 candies in 5 packs.

Option A. Candy: 7 Packs:5

If my answer helped, please rate it and give it a Thanks!

Have a great day!

Raina corre 7 millas en 50 minutos. A esta misma tasa, ¿qué distancia en millas correría en 75 minutos?

Answers

Responder:

10.5 millas

Explicación paso a paso:

50 / 7 = 0.14

0.14 * 75 = 10.5

Espero que esto ayude :)

Given parameters:

Distance covered by Raina = 7 miles

Time taken = 50 minutes

Unknown:

Distance covered in 75 minutes = ?

To solve this problem, we have to find the speed of Raina during the first 50 minutes.

   Speed is the distance covered with time.

      Speed  = [tex]\frac{distance}{time taken}[/tex]  

   Input the parameters and solve;

     Speed  = [tex]\frac{7 miles }{50 minutes}[/tex]   = 0.14miles/min

Now, to find the distance covered in the second run;

     Distance  = speed x time taken

                      = 0.14miles/min x 75min

                      = 10.5miles

The distance covered in miles is 10.5miles

j(x)=−45x+7; j(x)=−5

Answers

Answer:

x = 4/15

Step-by-step explanation:

Step 1: Define

j(x) = -45x + 7

j(x) = -5

Step 2: Substitute and Evaluate

-5 = -45x + 7

-12 = -45x

x = 4/15

please answer question 3

Answers

Answer:

2/6

Step-by-step explanation:

I think the answer is D; 2/6.

6≥−6(a+2) solve and find the awnser

Answers

Answer:

[tex] - 3 \geqslant a[/tex]

Step-by-step explanation:

[tex]6 \geqslant - 6(a + 2)[/tex]

distribute -6 inside the parentheses

[tex]6 \geqslant - 6a - 12[/tex]

add 12 to both sides

[tex]18 \geqslant - 6a[/tex]

divide by -6 to isolate the variable

[tex] - 3 \geqslant a[/tex]

Answer:

-3<=a

Step-by-step explanation:

1. Get the -6 away, so multiply everything by -6.  6*-6 >= -6*-6(a+2)

2. This becomes -1 <= a+2   Since if you multiply or divide anything by a negative number, you have to reverse the inequality sign.

3. Subtract 2 to get a by itself    -1-2 >= a

4. This becomes -3 >= a   which is the right answer.

(Just so you know >=  and <=  means less than or equal to and more than or equal to.)  

Solve for x: −3(x + 3) = −3(x + 1) − 5. (1 point) a 6 b −6 c All real numbers d No solution

Answers

D. No solution

1. Distribute -3s: -3(x + 3) = -3(x + 1)

2. Collect like terms: -3x - 9 = -3x - 3

3. Incorrect so no solution: 0 = 6

Answer:

no solution

Step-by-step explanation:

you know it

What is the solution to the following equation?
1

3 (9-2y) = 5(2 - 3y) - 50

Answers

Answer:

y=(-3)

Step-by-step explanation:

Help me pleasee......

Answers

Answer:

∠ETM is 56.7

Step-by-step explanation:

168.7 - 112

Mika's rosebush had 24 blooms in the first week of May. This was 80% as many blooms as Tammy's rosebush had during the same period. How many blooms did Tammy's rose bush have?

Answers

Tammy’s bush would have 30 blooms. 80% of 30 is 24.

whats the best lil peep song lol

Answers

Answer:

Nutz in my opinion

Step-by-step explanation:

Answer:

girls

Step-by-step explanation:

PLEASE HELP WHOEVER ANSWERS FIRST GETS BRAINLIEST

Answers

Answer:

8

Step-by-step explanation:

Answer:

8 ft

Step-by-step explanation

8x4=32, 8 ft on all 4 sides.

Suppose that tuition at a state college was $3500 per year in 1995 and has been increasing at a rate of $225 per year. Write a prediction equation in slope-intercept form that expresses this information. (Do not space between the numbers and the symbols

Answers

Answer:

3500+225x

Step-by-step explanation:

x = years after 1995. 1996 would be x = 1

please help i really need this ill give brainliest if its correct

Answers

Answer: I'm pretty sure it's D.

Write a compound inequality that is represented by the graph.
5
6
7
8
9
10 11 12
13 14
15
A compound inequality using the variable x is

Answers

Answer:

7<x<14

Step-by-step explanation:

4b-3b+7=10 Solve for b.

Answers

simplify left side to get b
b+7=10
-7 -7
—————
b=3

Answer:

b = 3

Step-by-step explanation:

Simplify 4b - 3b + 7 = 10

b + 7 = 10

Subtract 7 from both sides

b = 10 -7

Simplify 10 -7 to 3

b = 3

Hope this helps!

-Jerc

What is the slope of the line passing through the points (-3, 4) and (2, – 1)?

Answers

Answer:

m=-1 or -1/1 (same thing)

Step-by-step explanation:

(y2-y1/x2-x1)

(-1-4)/(2-(-3))=-5/5=-1

Answer:

-1

Step-by-step explanation:

The slope of a line can be written as [tex]\frac{\triangle{y}}{\triangle{x}}[/tex] or [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]. Plugging in the values gives us [tex]\frac{-1 - 4}{2 - (-3)} = \frac{-5}{5} = \boxed{-1}[/tex]

A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
14 3/5 bushels each day. Represent the total change in the number of bushels has for sale after 6 days.

Answers

Answer:

He sold 87-3/5 bushels in 6 days , he has 72-2/5 bushels left

Step-by-step explanation:

14-3/5 x 6 = Bushels sold in 6 days

what is 20x+8 =4÷2 please help​

Answers

Answer:

- 0.3

Step-by-step explanation:

Step 1:

20x + 8 = 4 ÷ 2     Equation

Step 2:

20x + 8 = 2      Divide

Step 3:

20x = - 6      Subtract 8 on both sides

Step 4:

x = - 6 ÷ 20     Divide

Answer:

x = - 0.3

Hope This Helps :)

Answer:

x = - 3/10

Step-by-step explanation:

Hi !

20x + 8 = 4 : 2

20x = 2 - 8

20x = - 6

x = - 6/20

x = - 3/10

Good luck !

Which statement best describes the intersection of three planes? The planes could form one or two lines. The planes could form one, two, or three lines. The planes will form two lines. The planes could form one, two, or three lines, or they could intersect at exactly one point.

Answers

Answer:

fhe planes coukd form ons or two limez

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