If two points known on the line A B in the coordinate plane is (7,15) and (18,42), calculate the slope of the line AB and the length of the line AB

Answers

Answer 1

Answer:

Slope = 27/11

AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .The length of line AB .

We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,

[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]

Plug in the respective values ,

[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]

Hence the slope of the line is 27/11 .

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

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]

Hence the length of AB is 29.15 units .


Related Questions

The box-and-whisker plot below represents some data set. What percenta data values are less than 66?​

Answers

Given:

The a box-and-whisker plot if a data set.

To find:

The percentage of data values that are less than 66.

Solution:

From the given box-and-whisker plot, it is clear that the number 66  is the highest value of the data set.

It means all the values of the data set are less than 66 and no value can be more than 66.

All value means 100%.

Therefore, 100% of data values are less than 66.

Please help me solve this problem.

Answers

The second option (4,0) and (0,0)
(4,0) and (0,0). the roots are where the parabola meets the x axis.

Explain why 0.25 ×0.4 has only one decimal in the product

Answers

Answer: Because a decimal times a decimal is always going to be smaller than the original decimal.

Step-by-step explanation:

If you went to a dinner with 4 choices of appetizers, 5 main courses, and 2 desserts... the
number of meal options is an example of......

1.Counting Pr inciple
2.Permutation
3.Combination

Answers

Answer:

1. counting principle

Step-by-step explanation:

-----

Someone please help will mark brainliest!!!

Answers

Answer: 50°

Step-by-step explanation: ur smart, u don’t need one, but if u really want one just comment on it and I’ll give u one :)

D is your answer so

Mr.Li bought a memory card for $138.89 including tax.The card had a sticker price of $129.20.What percent sales tax did he pay.

Answers

Answer:

7.5%

Step-by-step explanation:

Cost of memory card including tax = $138.89

Cost of memory card only = $129.20.

Cost of tax on memory card = Cost of memory card including tax - Cost of memory card only

= $138.89 - $129.20

= $9.69

Cost of tax on memory card = $9.69

What percent sales tax did he pay.

Percent of tax = Cost of tax on memory card / Cost of memory card only

= $9.69 / $129.20 × 100

= 0.075 × 100

= 7.5%

Percent of tax = 7.5%

If each triangle is the right Triangle yes or no?

Answers

Answer:

This is not a right triangle

Step-by-step explanation:

right triangle has a 90° angle and this triangle does not have a 90° angle

In ΔHIJ, j = 98 cm, h = 38 cm and ∠I=23°. Find the length of i, to the nearest centimeter.

Answers

Answer:65

Step-by-step explanation:

Jayden has $20.56. He buys an apple for $0.79 and a granola bar for $1.78. How much money does Jayden have now? A
$2.57

B
$17.99

C
$18.01

D
$23.13

Answers

The answer to this is b

Answer:

B:

$17.99

Step-by-step explanation:

Add the total amount spent: $0.79 (apple)+ $1.78 (granola bar)=$2.57

Subtract from the money Jayden has: $20.56-$2.57=$17.99

Hope This Helps!!

Can someone help solve this?

Answers

Answer:

C

Step-by-step explanation:


Which point has coordinates ( -5, -4) ?

Please help ASAP!!! I will give 20 points

Answers

Answer:

Y is your answer

Step-by-step explanation:

pls brainleist

Answer:

point Y

Step-by-step explanation:

if the value of a in the quadratic function f(x) = ax^2 + bx + c is 1/2, the function will:

Answers

Answer:

Open up and have a minimum

Step-by-step explanation:

If the x² coefficient is:

Positive, the graph will open up and have a minimum

Negative, the gaph will open down and have a maximum

Answer:

opens up and has a minimum

Step-by-step explanation:

Provided a is not 0, y=ax^2+bx+c will be a parabola.

The parabola will open up and have a minimum if a is positive.

The parabola will open down and have a maximum if a is negative.

Since 1/2 is positive, then your parabola opens up and has a minimum.


If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation

3x + 2y = -21
x - 3y = 4

3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21

Answers

Answer:

answer is

3(3y+4) + 2y = -21 .


anyone know how to do this

Answers

Answer:

Step-by-step explanation:

∠CBD=1/2×88=44°

PLEASE HELP!!!! I will give away 100 pts and Brainliest to correct the answer!

Answers

Answer:

translation by T (x-5 y+0)

Step-by-step explanation:

----------

Answer:

There is not a lot of change, the only change is that is moved 5 units to the right.

Step-by-step explanation:

Hope this helps! :)

Hope you a 100% on the test

Help with this problem pls

Answers

As x increasing y decreases.

As x decreases, y increases.

Please mark as the brainliest.

Hope it helps you.

Thank You

√48m^4 n^3 p^4
simplify square roots

Answers

Answer:

4m^2np^2√3n

Step-by-step explanation:


A cookie recipe calls for 3 cup of chocolate chips for every batch, and the baker can mix and
bake a batch every of an hour. How many cups of chocolate chips would the baker use if he
baked cookies for 6 hours?

Answers

Answer:

i think 18

Step-by-step explanation:

bc like 3 cups-1 hour

6 cups- 2 hours

...... .........

List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.

How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.

Answers

1. i’m not sure what you have worked with.
2. area is how much space is within a 2D shape.
3. Volume is the amount of mass that a 3D shape takes up.
4. You find the combined area of a 3D shape by finding the individual area of each shapes on the outside of the 3D shape and then add them up.
5. i’m not sure what you mean by “give an example of why that would be a good measurement to know”

Answer:

In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.

Step-by-step explanation:

Stay Safe <3 =3 Can I maybe Get Brainliest?

PLZZZ HELPZZZZZZZZZZZZZZ

Answers

Answer:

option 1 , not correct

x + 3 > -7

x > -7 - 3

x > -10

x ={ - 9, - 8, - 7 . . .}

option 2, not correct

x - 3 ≤ -7

x ≤ -7 + 3

x ≤ -4

x = { -4, -5, -6 . . . }

option 3, not correct

x - 3 ≥ -4

x ≥ -4 + 3

x ≥ -1

x ={ -1, 0 , 1 , 2 . . .}

option 4, correct

x - 3 ≥ -7

x ≥ -7 + 3

x ≥ -4

x ={ -4, -3, -2 , -1 , 0 , 1 , 2. . . }

Find the area of this circle. Use 3.14 for pi . the circle is 72 in

Answers

Answer:

16277.76 in

Step-by-step explanation:

area

[tex]\pi \times {72}^{2} [/tex]

Angel lives 3/4 miles from school he has already walked 1/6 mile. How much farther does angel need to walk to school

Answers

Answer:

7/12 miles

Step-by-step explanation:

3/4 and 1/6

find common denominator

9/12 and 2/12

subtract

7/12

when you divide the 3/4 and 1/6 you get 4.5

If [tex]\frac{a+b}{3} =\frac{b+c}{6} =\frac{c+a}{5}[/tex] then prove that: [tex]\frac{a+b+c}{a} =7[/tex]

Answers

Answer:

[tex]\dfrac{a+b+c}{a} =7[/tex]

Step-by-step explanation:

Given :-

[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}[/tex]

And we need to prove that ,

[tex]\dfrac{a+b+c}{a} =7[/tex]

So let us assume that ,

[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]

Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,

[tex]\dfrac{a+b}{3}=k[/tex]

[tex]\implies a + b = 3k \quad \dots (i) [/tex]

Similarly we can say that ,

[tex]\implies c + b = 6k \quad \dots (ii)[/tex]

[tex]\implies a + c = 5k\quad \dots (iii) [/tex]

Subtracting (i) and (ii) :-

[tex]\implies a - c = -3k \quad \dots (iv) [/tex]

Adding (iv) and (iii) :-

[tex]\implies 2c = 4k [/tex]

[tex]\implies \boxed{c = 4k }[/tex]

Put this is (ii) :-

[tex]\implies b +4k = 6k [/tex]

[tex]\implies \boxed{b= 2k }[/tex]

Similarly we will get ,

[tex]\implies \boxed{a = k }[/tex]

Proving the given equation :-

[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]

Hence proved !

hey guys, can someone tell me the answer for this question?
[tex] \sqrt[2]{24 + 12} \: \times \sqrt{ {6}^{4} } \times {5}^{2} [/tex]

Answers

Answer:

root 24+12 is root 36 which is equal to 6

4 root of 6 is 36 the power of 2 which is equal to 36

5 the power of 2 is 25

then when we multiple 6x36x25

it's 5400

Answer:

Answer = 1080

Step-by-step explanation:

Hey there!

Here's the initial equation:

[tex]\sqrt{24+12} * \sqrt{6^4 * 5^2}[/tex]

What I'll do now is sum what's in the left root.

[tex]\sqrt{36} * \sqrt{6^4 * 5^2}[/tex]

Since [tex]\sqrt{36}[/tex] = 6, we get this equation:

[tex]6 * \sqrt{6^4 * 5^2}[/tex]

Now: You can see that the five is elevated to the second. Since it is a square root, you can just pop it out:

6 * [tex]5\sqrt{6^4}[/tex]

6 * 5 = 30, so here's what you got:

[tex]30\sqrt{6^4}[/tex]

At this point you should see that:

[tex]6^4[/tex] = 6 * 6 * 6 * 6

6 * 6 * 6 * 6 = 36 * 6 * 6

36 * 6 * 6 = 36 * 36

36 * 36 = 36²

Now you have this:

[tex]30\sqrt[2]{36^2}[/tex]

Since it is a square root and a square number, you can do just as with the five: Pop it out! (When you take numbers out of the root they multiply, they do not add. Never forget that ;).

30 * 36 = 1080

Answer = 1080

Which line on the graph represents the equation y + 4 = -2x/3

Answers

Answer:

The answer is line D

Step-by-step explanation:

hey! i’ll give brainliest please help!

Answers

Answer:

eastern

Step-by-step explanation:

Answer:

Eastern!

Step-by-step explanation:

s

What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10

Answers

Answer:

f = 2

Step-by-step explanation:

equate the log

therefore,

2f + 4 = 14 - 3f

collect like terms

2f + 3f = 14 - 4

5f = 10

divide through by 5

f = 10/5

f = 2

find the measure of angle H in the photo above

Answers

Answer:

H = 31 degrees

Step-by-step explanation:

To find the value of the angle marked H, we will use he circle angle theorem

We have it that;

H = (88-26)/2

H = 62/2

H = 31 degrees

An electrician needs 3/8 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 2 1/4 rolls of wire? Write your answer as a fraction or as a whole or mixed number.

Answers

Answer: 6 rooms

Step-by-step explanation:

3/8 rolls of wire are needed to wire a room in a house. If there are a total of 2¹/₄ rolls of wires, the number of rooms that could be wired is:

First convert to an improper fraction:

2¹/₄ = 9/4 rolls of wire

Total number of rooms that can be wired are:

= Total amount of wire available / Wires per room

= 9/4 ÷ 3/8

= 9/4 * 8/3

= 72 / 12

= 6 rooms

https://www.blooket.com/play?id=658244

Copy and paste
All right answers
Appropriate names please!!

Answers

Answer:

ok

Step-by-step explanation:

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