Find the gradient of the line segment between the points (1,-2) and (-2,10).​

Answers

Answer 1

Given:

A line segment is between the points (1,-2) and (-2,10).​

To find:

The gradient of the given line segment.

Solution:

We know that gradient of the given line segment means slope of the line segment.

The line segment between the points (1,-2) and (-2,10).​ So, slope of the line segment is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]

[tex]m=\dfrac{10+2}{-3}[/tex]

[tex]m=\dfrac{12}{-3}[/tex]

[tex]m=-4[/tex]

Therefore, the gradient of the given line segment is -4.


Related Questions

Anyone know how to solve for x and y on this problem?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ 6\ and\ y \ is\ (-21) .}}}[/tex]

Step-by-step explanation:

In the Question , its given that ∆ART [tex]\cong[/tex] ∆ DFI . And we need to find the values of x and y . So we know that ,

If two triangles are congruent then their Corresponding angles and sides are equal.

Hence here in ∆ ART & ∆ DFI :-

AT = DI ( cpctc)AR = DF ( cpctc)

[tex]\bf\implies AT = DI \\\\\bf\implies 6x + 31 = 67 \\\\\bf\implies 6x = 67 - 31 \\\\\bf\implies 6x = 36 \\\\\bf\implies x =\dfrac{36}{6}\\\\\bf\implies \boxed{\red{\bf x = 6}}[/tex]

Hence the value of x is 6 .

[tex]\rule{200}2[/tex]

[tex]\bf\implies AR = DF \\\\\bf\implies -4y+19 = 103\\\\\bf\implies -4y = 103-19 \\\\\bf\implies -4y = 84 \\\\\bf\implies y =\dfrac{84}{-4}\\\\\bf\implies \boxed{\red{\bf y = -21}}[/tex]

Hence the value of x is 6 and y is (-21) .

theo's family is planning a trip to redwood national park.The total driving distance is 750 miles . They plan to travel an equal distance on each 5 days. How many miles will the drive each day?

Answers

Step-by-step explanation:

5 days = 750 miles

=> 1 day = 750 / 5 = 150 miles.

Theo's family will drive 150 miles per day.

Is (7. - 1) a solution of y = x -8?
Yes

No

Answers

Answer:

Yes

Step-by-step explanation:

Substitute the x and y values in for x and y to check.

-1 = 7 - 8

-1 = -1

In this instance, (7, -1) is a solution of y = x - 8.


Winter coats are marked 70% off on February 1st. If a coat originally costs $57.70, how much will it cost on sale?

Answers

Answer:

40.39

Step-by-step explanation:

70% of 57.70

70x57.7/100 =4039/100 = 40.39

The coat will cost 40.39 on sale

Trigeomentry need help asp about to fail

Answers

Let me do ur work for you and I’ll make u get a A+

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

Which operation can be used to solve for x? -3.2x = -4.8​

Answers

Answer:

-3.2x=-4.8 ÷(-3.2)

x=1.5

Step-by-step explanation:

prove me wrong

20 POINT!!!!!!!11PLEASE HELP!!!!!

A sphere is a three-dimensional geometric figure, hollow or solid, contained by a continuously round surface that is equidistant from its center. The maximum capacity of a sphere is calculated with the formula, where V = volume, and r = radius. For a sphere with a maximum capacity of 1,372pi/3 cubic millimeters, the diameter measures millimeters.

Answers

Answer:

14 millimeters

Step-by-step explanation:

V=(4/3)πr³

1372π(1/3)=(4/3)πr³

1372=4r³        (cancel out the pi and multiply both sides by 3)

r³=343

r=7

Diameter is twice the radius = 2(7) = 14

What the person above me said

pls help due in 2 mins

Answers

Answer:

Good luck

Step-by-step explanation:

Answer:

272 is the correct answer

Step-by-step explanation:

I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!

Hope this Helps! :)

You have 7/5 gallons of juice and want to fill cups that hold 1/10 of a gallon. How many cups can you fill?

Answers

Answer:

14 cups

Step-by-step explanation:

Amount of juice had = 7/5 gallons

Cup to fill = 1/10 gallons

We can therefore write;

1cup = 1/10 gallons

x cups =7/5 gallons

ross multiply

1/10 x = 7/5

x/10 = 7/5

70 = 5x

x = 70/5

x = 14

Hence 14 cups cam be filled

Is it a function or not a function? Please help me??

Answers

Answer:

No

Step-by-step explanation:

Express in the form 1:n
Give n as a fully simplified fraction.

12:2

Answers

Answer:

divide 12

12/12 : 2/12

1 : 2/12

1 : 1/6

n=1/6

wich structure ate found in plant cells but not in animal cells multiple choice​

Answers

Answer:

Plant cells have a plasma membrane, chloroplasts, plasmodesmata, and plastids used for storage, and an oversized central bodily cavity, whereas animal cells don't.

I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!

Answers

Answer:

I think it is B (SSS congruence)

Step-by-step explanation:

you are only given the sides of the triangles not any of the angles

Answer:

D

Step-by-step explanation:

This I am pretty sure on.

The only side you can 100% say is similar is DE. since it is the same line.

The angles GDE and FDE are the same since there is a line divivding it in half.

All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.

please help what would the 5 be in gallons

Answers

Answer:

13.6 gallons

Step-by-step explanation:

y = 2.72x

this means that 2.72 is multiplied by x

y = 2.72 * x

x = number of gallons

5 = number of gallons

5 = x

y = 2.72 * 5

y = 13.6 gallons

What is the slope of the line that contains these points? x -4 -3 -2 -1 y 2 5 8 11

Answers

Answer:

21 because I serch it up I believe

Write the phrase as an Expression

The product of 6 and a number lll

Answers

Answer:

DURING PUBERTY

its ture

how do you math please help me

Answers

Math is math math gives more math math is math math is more math more math is tons of math tons of math is big brain math knowledge big brain math knowledge means your math

If X=3 and y=3, then x =?

Answers

Answer:

3

Step-by-step explanation:

You said x=3

Answer:

if the answer isn't 3 then its 1

Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form

I need help​

Answers

Answer:

3/5, 4/5, 3/4

Step-by-step explanation:

First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4

The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Calculation of the sine, cosine, and tangent:

Here first we determine the BC by applying the Pythagorean Theorem.

[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]

So the BC should be 12

hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Learn more about an angle here: https://brainly.com/question/3401487

Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.

Answers

Answer:

y = 49

x = 15

Step-by-step explanation:

The angle is 90 degrees and on one side of the bisector is 41 so to find y all you have to do is 90 - 41 = 49

(7x + 13) + (2x - 9) + 41 = 180

add like terms -     9x + 45 = 180

subtract -               9x = 135

Divide -                    x = 15

Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily's tea?

a $108.70
b. $144.93
с. $536.77
d. $715.69

Answers

Answer:

it is B. 144.93 on edge my friends

Step-by-step explanation:

cause i know so

Solve the inequality

Answers

Answer:

x ≥ 98

[tex]\frac{x}{7}\ge \:14[/tex]

[tex]\frac{7x}{7}\ge \:14\cdot \:7[/tex]

[tex]x\ge \:98\\[/tex]

I hope this helps:

Answer:

the answer is A x>_98

Step-by-step explanation:

just trust me. hoped I helped:)

Mattie Evans drove 200 miles in the same amount of time that it took a turbo propeller plane to travel 800 miles. The speed of the plane was 150 mph faster than the speed of the car. Find the speed of the plane.

Answers

Answer:

200mph

Step-by-step explanation:

Speed is expressed using the expression

Speed = Distance/Time

For Mattie

Distance = 200miles

Speed = x

Time taken by mattie = Distance/speed

Time taken by mattie = 200/x ... 1

For the propeller plane:

Distance = 800miles

Speed = x+150 (The speed of the plane was 150 mph faster than the speed of the car)

time taken by the plane = 800/x+150

Since Mattie took the same amount of time that it took a turbo propeller plane to travel, then we will equate both expressions as shown:

200/x = 800/150+x

Cross multiply

800x = 200(150+x)

800x = 30,000 + 200x

800x-200x = 30,000

600x = 30,000

x = 30,000/600

x = 50

Get the speed of the plane

Since the speed of the plane is 150+x

Speed of the plane = 150+50

Speed of the plane = 200mph

50% SHADED TRUE OR FALSE

Answers

Answer:

yes

Step-by-step explanation:

You are your friend are playing a game where you flip a coin and roll a fair four-sided die.

Answers

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

I need help 6 . x = 42​

Answers

Answer:

7

Step-by-step explanation:

42 divided by 6

Answer:

Step-by-step explanation:

NEED HELP AILL GIBE 20 point...

Answers

9514 1404 393

Answer:

  36°

Step-by-step explanation:

BY bisects angle B, which has a measure of 72°. That means angles 3 and 4 are each half of 72°, or 36°.

  m∠4 = 36°

Round 0.381 to the nearest hundredth.
0.3
0.38
0.4
0.39

Answers

Answer:

0.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

help pls brainlest to first make sure it's correct Hank you ​

Answers

Answer:

It’s 32

Step-by-step explanation:

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