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

My age is 9 years, My sister is half of my age. Now I'm 49 years, How old is my sister?

Answers

Answer:

i think it is 24

solve.
5-(x-6)=-7+3(-x+2)

Answers

Answer:

x=-6

Step-by-step explanation:

For this equation, when we remove the parenthesis, we get 5-x+6=-7+-3x+6.

Then we simplify both sides of the equation, so we get 11-x=-1-3x. When we separate the numbers and variables, we get -12=-2x. -12/2 = -6.

5-x+6=-7-3x+6
combine like terma
11-x=-1-3x
add 3x to both sides
11+2x=-1
subtract 11 from both sides
2x=-12
x=-6

What is the reciprocal of 2 and 9 over 10?

Answers

Answer:

Part A:  [tex]\frac{1}{2}[/tex]

Part B: [tex]\frac{10}{9}[/tex]

Step-by-step explanation:

Part A: What is the reciprocal of 2.

2 is just [tex]\frac{2}{1}[/tex] in fraction terms. To find the reciprocal, you just have to flip it over. That would get to [tex]\frac{1}{2}[/tex]. Therefore, the reciprocal is [tex]\frac{1}{2}[/tex].

Part B: What is the reciprocal of 9 over 10?

9 over 10 in numerical terms is just [tex]\frac{9}{10}[/tex]. o find the reciprocal, you just have to flip it over. That would get to [tex]\frac{10}{9}[/tex]. Therefore, the reciprocal is [tex]\frac{10}{9}[/tex].

Hope this helped! If not, please let me know! <3

Answer:

10/29

Step-by-step explanation:

[tex]2\frac{9}{10}=\frac{29}{10}[/tex]

Reciprocal of [tex]\frac{29}{10}= \frac{10}{29}[/tex]

A line goes through the points (7, 3) and (-1, 5). Write the equation of the line in Point-Slope form. Show your work. Circle your answer.
20 pts and brainliest. please help me on this

Answers

Answer:

The equation of the line is 4y = -x + 19

Step-by-step explanation:

Firstly, we need to get the slope of the line;

Since it is through two points; we have the slope as;

y2-y1/x2-x1 = (5-3)/(-1-7) = 2/-8 = -1/4

Mathematically, we can write the equation of a straight line line as;

y = mx + c

So we have;

y = -1/4x + c

y = -x/4 + c

To complete the equation, we need the value of c.

we can choose any of the points and insert the x and y value

Thus;

3 = -7/4 + c

c = 3 + 7/4

c = 19/4

So our equation becomes;

y = -x/4 + 19/4

Multiply through by 4

4y = -x + 19

Answer:

y-3= -1/4 x (x-7)

Step-by-step explanation:

Find the slope of the line between  

( 7 , 3 )  (7,3)  and  ( − 1 , 5 )  (-1,5)  using  m = y 2 − y 1 x 2 − x 1

m=y2-y1x2-x1 , which is the change of  y/ y  over the change of  x/ x .

Hope this helps! Have a nice day!❤

a(b-c)=x solve for x

Answers

Answer:

a is b is c

Step-by-step explanation:

x is = as is a to b then a c 4 days is c

In order to compete successfully, a producer must produce goods that are

more expensive than those of competitors.
of a lesser quality than those of competitors.
of a higher quality than those of competitors.
created without worrying about the costs of production.

Answers

Answer:

of a higher quality than those of competitors.

Step-by-step explanation:

To compete successfully, a producer should ensure that they must produce goods that are of a higher quality than those of their competitors.

The quality of a product is usually a deterministic characteristic of how the public will receive such material.

A quality good produced gives consumers better value for money spent in procuring them. This will ensure a high reliability on the part of the consumers towards the producers. Even at higher prices, most consumers will crave for a good and quality product since they are rest assured of getting maximum value from it.

Therefore, a higher quality of goods produced will make a producer compete more successfully.

Answer:

C) Of a higher quality than those of competitors.

What is the value of x in the proportion below?

57=x21

Answers

Answer:

x=[tex]\frac{19}{7}[/tex]

Step-by-step explanation:

57=x×21

57=21x

21x=57

x=[tex]\frac{19}{7}[/tex]

Answer:15

Step-by-step explanation:

171 ÷ 9 =
1 point
( 9x 10) + (9 x 9) = 171; 9 x 19= 171
(9 x 10) + (9 x 10) = 180 ; 90 x 2 =180
( 6 x3) + (4 x 6) =42 ; 7 x 6 = 42
( 9 x5) + (8 x 6) =93 ; 31 x 3 = 93
Submit

Answers

A, basic calculator math hope this helps

Use the triangle sum conjecture to determine each lettered angle measure.

Pls help!

Answers

Add up each of the triangle sums to determine the angle measure of the triangle sum

Answer:

a = 69

b = 47

c = 116

d = 93

e = 86

See ALL MATH below!

Step-by-step explanation: (PLEASE READ!!!) ;3

remember that the sum of all the angles in a triangle will always add up to be 180.

All angles in a quadrilateral will be 360.

Pentagon, 540, and the center shape in your problem, hexagon, 720°

It's easier to think about this problem when you look at the two separate triangles, and not the small individual shapes. SO...

one of them, the one that points down, only has a single missing angle (a)

we can find that by doing this:

40 + 71 = 111

180 - 111 = 69

so a = 69

to find B, it's actually more simple. b+133, the angle next to it, will add up to 180, because it's a straight line. so...

180-133 = 47, so B = 47

now that you have a and b,  we can find c by using the same method we used to find b, but first we need the angle next to it, so we use the method to find a!

180 - (a + b) = needed angle

180 - needed angle = c

69 + 47 = 116

180-116 = 64

now we have 64. we will subtract that from 180 to get c!

180- 64 = 116

the easiest way to find d is to find the other angle in that small triangle to the bottom right, so we'll subtract 140 from 180, which is 40. 47 + 40 = 87

180 - 87 = 93

d = 93!

finally for e, I'm going to do my work below, I'll have to find many other angles to get e, so maaaaybe you'll be able to follow along.

71+40=111, 180 - 111 = 69

180 - 69 = 111

111 is the angle to the left of the given 140.

NOW we can focus on that little triangle to the left, after we get the bottom left most angle, we can add that with 47, subtract it from 180, and we'll have e!!!

180-111 = 69   (bottom right angle of little triangle)

180-116 (c) = 64 (top angle)

69 + 64 = 133

180 - 133 = 47!!

Now we have two angles of the large triangle that points up. using them, we can find the last one, E.

47 + 47 = 94

180 - 94 = e

WhiCH IS....

DRUMROLL...

86!

:D

7th grade math homework​

Answers

Hi hi I hope you know I’m not

Answer:

TISAILNYANAOURASWE

Step-by-step explanation:

Mark as brainliest

If
(
x
=
5
)
and
y
=
10
, which expression has the greatest value?

Answers

Answer:

Y has the greatest value, if there are different options than this answer, then you didn't provide them...

if a van traveled 200 miles in 5hours how far could the van go in 8hours ​

Answers

Answer:

320 mph

Step-by-step explanation:

200/5=40

40x8=320

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The van travelled 320 miles in 8 hours.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

if a van traveled 200 miles in 5 hours

We need to find how long it travels in 8 hours.

Let x be the distance to travel in eight hours.

Let us make a equation

200/5=x/8

Apply cross multiplication

1600=5x

Divide both sides by 5

1600/5=x

320=x

Hence the van travelled 320 miles in 8 hours.

To learn more on Ratios click:

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Given; D is the Midpoint of CE / Prove DE =1/2CE

Answers

Answer:

Check explanation

Step-by-step explanation:

Here, we want to make a prove;

Mathematically , since D is the midpoint of CE

Then;

CE = CD + DE

Also, since D splits the line segment into two equal parts as the midpoint, then CD must be equal to DE

I.e CD = DE

Hence, we can express CE as follows;

CE = DE + DE

CE = 2 DE

Divide both sides by 2

CE/2 = DE

Hence; DE = 1/2 CE

The age (in years) of 10 students practicipating in an english drama are 10, 6,8,19,12,8,10,18,19,15 find the median age of the particapating ​

Answers

Answer:

11

Step-by-step explanation:

First, list the numbers from least to greatest.

6, 8, 8, 10, 10, 12, 15, 18, 19, 19

find the middle term. There are ten terms, therefore there are 2 middle terms. You will add them togetehr and divide by two.

10+12=22/2=11

What is 0.6 divided by 345?

Answers

Answer:

its undefined

Step-by-step explanation:

Answer:

.00173913

Step-by-step explanation:

roberto garcia ha jugado en las ligas menores durante 11 años. el total de jonrones en cada año ha sido de: 56,62,49,65,58,52,68,72,25,64. ¿Cuantos jonrones necesita Roberto para que la próxima temporada pueda tener una media de 60 en 12 años?

Answers

Los puntos de datos dados son 10

Responder:

89 jonrones

Explicación paso a paso:

Dados los datos:

Datos de jonrones durante 11 años:

56,62,49,65,58,52,68,72,25,64

Para promediar 60 jonrones en 12 años:

Tome la media de los datos, utilizando una incógnita para el Número de jonrones en el año 12:

[(56 + 62 + 49 + 65 + 58 + 52 + 68 + 72 + 25 + 64 x) / 11] = 60

[(571 + x) / 11] = 60

571 + x = 60 * 11

571 + x = 660

x = 660 - 571

x = 89

Which step did this student do wrong?

Answers

Step 1: The student forgot to multiply 7 and -5. Hope this helps :)

Answer:

Step 1

Step-by-step explanation:

When the student first removed the parenthesis by multiply it by 7, he forget to multiply 5 by seven. So instead of x + 3 + 7x - 35, he got what you see on the picture before you.

what is the difference between linear and nonlinear functions?

Answers

Answer: Linear Function is a relation between two variables that produces a straight line when graphed. Non-Linear function is a function that does not form a line when graphed.

Step-by-step explanation:

ANSWER: Degrees

explanation:

The difference between the linear and nonlinear functions are their degrees. For linear functions, the highest order is only 1 while more than for those nonlinear functions. If these are presented in graphs, linear functions would generate straight lines while parabola or other curved lines will be generated for nonlinear functions.  

HOPE THAT HELPED PLEASE MRAK ME AS brilliant  i would love it :)

Please help!! I’m confused :(
I’ll give brainliest!

An axiom is a basic assumption about a mathematical situation. There are five axioms that form the basis for Euclidean geometry. List the five axioms.

Answers

The five axioms are:

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

Answer:

AXIOMS AND POSTULATES OF EUCLID

Step-by-step explanation:

AXIOMS

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

POSTULATES

To draw a straight line from any point to any point.

To produce a finite straight line continuously in a straight line.

To describe a circle with any center and distance.

That all right angles are equal to one another.

That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are less that two right angles.*

What is the answer for 6

Answers

Answer:

Non-Linear and there is symmetry

Step-by-step explanation:

IIIlas' car usses 65 L of petrol to travel 728 km, while Hanis car uses 48 L in 552 km

how much petrol would each car use to travel 830 km ?​

Answers

Answer:

65l-728km

x-830km

65×830/728=53950÷728=74,107

48L-552

x-830

48×830/552=39840/552=72.173

Find the missing number so that the equation has no solutions.
X - 18
= 2x – 13

Answers

Answer:

X=-5

Step-by-step explanation:

Answer:

Step-by-step explanation: x-5 i think

Jon Kent's parents subtracted $3,500 from their adjusted gross income when they listed him as an exemption on their tax return . Jon's taxable income was $148. He paid $277 in withholding taxes. What amount should he expect as a tax refund?

Jon is single and can be claimed as a dependent by his parents. Jon has special rules. Look in your notes.

Answers

Answer: 3,917

Step-by-step explanation:

(04.01 LC) Which set of ordered pairs represents a function? (1 point) {(0, 1), (1, 2), (2, 3), (3, 3)} {(0, 1), (1, 2), (1, 3), (2, 5)} {(0, 0), (1, 2), (2, 4), (2, 6)} {(0, 0), (0, 1), (2, 0), (2, 4)}

Answers

The first set:

" {(0, 1), (1, 2), (2, 3), (3, 3)}"

Represents a function.

Which set of ordered pairs represents a function?

A function is a relationship that maps elements from a set (inputs) into elements from another set (output). Such that each input can be mapped into only one output.

Then, for example, the second set:

{(0, 1), (1, 2), (1, 3), (2, 5)}

Is not a function, because the input x = 1 is being mapped into y = 2 and y = 3.

The only case where the inputs are not repeated is on the first set:

" {(0, 1), (1, 2), (2, 3), (3, 3)}"

Where no input is repeated, so this is a function.

If you want to learn more about functions:

https://brainly.com/question/2328150

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Answer:

{(0, 1), (1, 2), (2, 3), (3, 3)}

I’ll give brainliest

Answers

The picture is kind of blurry and I can’t make out the formulas. /:

Two car rental companies charge an initial rental fee plus a fee per day. The table shows the total costs of renting a car for x days from
Discount Car Rentals. The total costy (in dollars) of renting a car for x days from Pay Less Rentals is represented by the equation
y=25x + 170. Which rental company charges less per day? How many days must you rent a car for the total costs to be the same?

Answers

Answer:

Step-by-step explanation:

Two car rental companies charge an initial rental fee and a fee per day.

Total cost for the company A is given by the equation,

y = 25x + 170

Car A charges $25 per day. [Slope of the line]

Another car rental company B charges as per table attached.

Per day car rental for the company B = [tex]\frac{270-180}{4-2}[/tex]

                                                              = [tex]\frac{90}{2}[/tex]

                                                              = $45 per day

Therefore, per day rental charged by company A is less.

Let the equation for the car rental by company A is,

y = mx + b

where m = per day rental charged by company A = $21.5

y = 45x + b

One point (2, 180) from the table lies on the equation.

Therefore, 180 = 45(2) + b

b = 180 - 90

b = 90

So the equation will be,

y = 45x + 90

If both the company charge the same after x day of rental,

45x + 90 = 25x + 170

45x - 25x = 170 - 90

20x = 80

x = 4

After 4 days car rentals for both the companies will be same.

Solve for y:
-9.6 - y + 4.4y = -1.5

Answers

Answer:

y = 81/34

Step-by-step explanation:

-96+34y=-15

-96+34y+96=-15+96

34y=81

34y/34 = 81/34

y= 81/34

If f(x) = 2x2 - 9, find f(5).

Answers

f(5) = -25, because you have to solve 2x2 - 9 to get -5, then multiply that by 5 to get f(5) = -25

I promise you your gonna have a bright future if u do this by the time u turn 21 and I'll even brainlist u (just do questions u know leave the ones u don't)​

Answers

Please look at the pic below hope it helps.

ZLMN is a straight angle.
Find mZLMP and mZNMP.
(-16x + 13)-20x + 23)
M
N
27
m/LMP
m NMP =

Answers

Answer:

Step-by-step explanation:

-16x+13+-20x+23=180

-36x+36=180

-36x=144

X=-4

Then put -4 in -16(-4) + 13 = 77

Answer is 77

The angle LMP will be 75.22° and the angle NMP will be  104.77°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

∠LMN = ∠ LMP + ∠NMP

Since ∠LMN = 180°

So,

∠ LMP + ∠NMP = 180

-16x + 13 - 20x + 23 = 180

-36x + 40 = 180

36x = -140

x = -3.88

So,

∠ LMP = -16(-3.88) + 13 = 75.22°

So,

∠NMP = 180 - 75.22 = 104.77°

Hence "The angle LMP will be 75.22° and the angle NMP will be  104.77°".

For more about the angle,

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