If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

A) the slope of the line AB

B) The length of the line AB

Answers

Answer 1

Answer:

Slope = 27/11AB = 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

4. What is the area of the figure at the right?

Answers

Answer: 336

Step-by-step explanation:

formula for area of a triangle = bh / 2

12 * 10 = 120 / 2 = 60

12 * 18 = 216 / 2 = 108

60 + 60 + 108 + 108 = 336

Help please!!!
How do i explain this! ????????????????!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer should be 5 logx + 2 log y

An experiment consists of spinning the spinner once.​ ​ a). What is the probability of landing on a 2. ​ ​ b). What is the probability of landing on a 1?​ ​ c). Is landing in each section of the spinner equally likely to occur? Explain.​

Answers

Answer:

1/4 ; 3/8

Step-by-step explanation:

Probability of landing on 2 :

Required outcome = Number of 2's on spinner = 2

Total possible outcomes = Number of congruent spaces on spinner = 8

P(landing on a 2) = 2 / 8 = 1/4

Probability of landing on 1 :

Required outcome = Number of 1's on spinner = 3

Total possible outcomes = Number of congruent spaces on spinner = 8

P(landing on a 1) = 3 / 8

Landing in each section of the spinner is equally likely to occur as the spinner are divided into congruent spaces. However, landing on the labels of the spinner isn't equally likely as each label take up uneven number of congruent spaces on the spinner.

How many lines of symmetry does this parallelogram have

Answers

Answer:

that would be 0 lines for symmetry

Answer:

B

Step-by-step explanation:

A parallelogram has no line of symmetry but has rotational symmetry of order 2

please help me :(I will give brainiest
no links I will report

Answers

Answer:

it's the second option

Step-by-step explanation:

hey, you just put value of g(x) instead of x while finding f(g(x))

PLEASE HELP ILL GOVE BRAINLYIST Solve 8y = 72.
The solution is y =

Answers

Answer:

Y=9

Step-by-step explanation:

8y/8

72/8

=9

Answer:

y=9 because you would have divide both sides which is 8y÷8=72÷8

9,3,5,2,5,3,5,2,2
Mean -
Median
Mode
If more than one Mode, use a "/" to separate them** (example: 1,2)
Range -

Answers

Answer:

Mean-4

Median-3

Mode-5, 2

Range-7

Step-by-step explanation:

What is 80.4637 to the nearest whole number?

Answers

Answer:80.46  

Step-by-step explanation:

hoped i helped

2^x = 1/2

A:-1
B:-1/2
C:1

Answers

I believe the answer’s C

Anyone help pls no links!! Only help me on #8 plss

Answers

Answer:

90

Step-by-step explanation:

First you do s^2. In this case s is 3 and 3x3=9. Then multiple 9 by r. 9x2=18. Finally, multiply 18 by t. 18x5=90. The solution is 90

Step-by-step explanation:

4.5(9+d)-6

5(9+3)-65×12-654

6.3h-j

3×8-1113

8.r(s)²(t)

2(3)²(5)2×9×590

hope it helps.

Solve.
k
5 = 23
4
The solution is k =

Answers

k=7

Hope this helps!! Can I please have brainliest?

Answer:

k = 112

Step-by-step explanation:

k/4 - 5 = 23

Add 5 to both sides

k/4 = 28

multiply both sides by 4

k = 112

Graph h(x) = -|x- 6| + 3.

Answers

Answer: Shift the graph to the right by 6, and up by 3.

Step-by-step explanation: If a number is in parentheses or absolute value lines, use the inverse sign. If it’s outside of the parentheses, move it like normal.

To graph the function h(x) = -|x - 6| + 3, we can follow a step-by-step approach:

Step 1: Determine the key points:

Identify the vertex: The vertex of the absolute value function y = |x| is at (0, 0). In this case, since we have y = -|x - 6| + 3, the vertex is obtained by shifting the vertex (0, 0) horizontally by 6 units to the right and vertically up by 3 units. Therefore, the vertex is at (6, 3).

Find additional points: Choose some x-values on both sides of the vertex to determine corresponding y-values. Let's choose x = 0, 3, 6, and 9.

Step 2: Calculate the y-values:

For x = 0: h(0) = -|0 - 6| + 3 = -|-6| + 3 = -6 + 3 = -3.

For x = 3: h(3) = -|3 - 6| + 3 = -|-3| + 3 = -3 + 3 = 0.

For x = 6: h(6) = -|6 - 6| + 3 = -|0| + 3 = -0 + 3 = 3.

For x = 9: h(9) = -|9 - 6| + 3 = -|3| + 3 = -3 + 3 = 0.

Step 3: Plot the points:

Plot the points (0, -3), (3, 0), (6, 3), and (9, 0) on a coordinate plane.

Step 4: Draw the graph:

Connect the plotted points smoothly. Since we have an absolute value function with a negative sign, the graph will be an upside-down V-shape, opening downwards, with the vertex at (6, 3).

Here's a visual representation of the graph of h(x) = -|x - 6| + 3:

   

Please note that the graph above is a rough representation and may not be perfectly to scale.

To know more about graph here

https://brainly.com/question/19040584

#SPJ2

Helppp pleaseee!!!!!!!

Answers

Answer:

1234567891011121314151617181920

Step-by-step explanation:

Help ASAP no links
Find all the missing elements:
A
A
C = 120°
b = 5
c= 11
A А
b C
A = [?]° B = [ ]º a = [ ]
Round to the nearest tenth.

Answers

A= 90* i think?? !!!!

This question is kinda confusing I need help

Answers

Answer:

D) p³ + 2; when p = 3 the number of plants is 29.

Step-by-step explanation:

Illiana cubed (³) the number of original plants, p, in the garden. Then, she added 2 more plants. We will use n for the number of total plants.

So, the equation should be p³ + 2. Substitute our value for p into the equation and solve.

p³ + 2 = n

3³ + 2 = n

27 + 2 = n

29 = n

There are 29 total plants.

The answer, then, is the last option, p³ + 2; when p = 3 the number of plants is 29.

Good luck ^^

What is the value of x in the equation One-third x minus two-thirds = negative 18?

Answers

Answer:

-52

Step-by-step explanation:

Paula drinks 1 tenth gallon of milk every morning. How many days will it take Paula to drink 1 gallon of milk,no files just type it.

Answers

Answer:

10 days

Step-by-step explanation:

Divide 1 gallon by

0.1 gallon per day:

 1 gallon

---------------------- = 10 days

0.1 gallon/day

Help ASAP plsplsplsplsplsplspls

Answers

Answer:

Hello! answer: x = 132

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees 180 - 48 = 132 therefore x = 132 HOPE THAT HELPS!

What is the value of x in this figure?

Enter your answer in the box.

x =

Answers

Answer:

x=48

when 2 line cros

the opposite sides of the angle always have the same value

Penny reads around 10 pages in 1/2 hours, What is the unit rate for pages per hour? For hours per page?

Answers

She reads 3 pages per hour!!

On the line that passes through point C, mark a point D that is distinct from point C. Use the slope formula along with coordinates of points to find the slopes of and . Show your work.

Answers

Answer:

PLATO

Step-by-step explanation:

Answer:

The coordinates of point D will vary based on the point location, but the resulting slope of the line through points C and D will be the same.

A  =  (-3, 3), B = (-1,-1)

Slope of AB  =  (YB−YA) / ( XB –XA) =−1−3 / −1−(−3)= − 4 / 2= −2

D =  (-1,6), C = (1,2)

Slope of DC  =  (YC−YD) / (XC−XD)= 2 – 6 / 1−(−1)=−4 / 2=−2

Step-by-step explanation:

I need help with number 6 please

Answers

Answer:

6 = z^2 + 49

Step-by-step explanation:

Answer:

z^2+14z+49

Step-by-step explanation:

=(z+7)(z+7)

=(z)(z)+(z)(7)+(7)(z)+(7)(7)

=z^2+7z+7z+49

=z^2+14z+49


Yesenia has a 13 ft ladder that she placed against a
wall. How far up the wall will the ladder reach when the
base of the ladder is 5 ft from the wall?

Answers

Answer:

12 ft

Step-by-step explanation:

Using formula (pythagorean theorem)

a² + b² = c²

Where :

13 = c

and 5 = a

5² + b² = 13²

25 + b² = 169

169 - 25 = b²

144 = b²

Sq root b = 12

It will reach up 12 ft.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

FREE BRAINLIEST


Which statement best explains why all circles are similar?


A. All circles have exactly one center point.

B. The diameter of all circles is twice the length of the radius

C. All circles can be mapped onto any other circle using only translators

D. All circles can be mapped onto any other circle using a translation and dilation

Answers

Answer: All circles have a 360 degree so it think its A. All circles have exactly one center point.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

please help me asap!

Answers

Answer:

26.0869565217 %

Note pls do not put all those numbers after the decimal round it im not doing it  because i dont know how u want to round it

I hope this helps!!

Step-by-step explanation:

what is 1/2 times 2
what is 3/2 times 2
what is 2/7 times 7
what is 3/4 times 4
what is 7/8 times 8
what is 5/6 times 6

Answers

1
3
2
3
7
5
hope that helps
1/2x2 =1

3/2x2=3

2/7x7=2

3/4x4=3

7/8x8=7

5/6x6=5

Rhian sat a maths test and an english test

Answers

Answer:

i don't understand

Step-by-step explanation:

please give more info so I can answer you question

WILL MARK BRAINLIEST HELP ASAP ASAP

Answers

Answer:

not possible

Step-by-step explanation:

will give brainleist

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The deposits helped them produce iron goods.

(20a-10) - (12a-3) subtract​

Answers

Answer:

8a - 7

Step-by-step explanation:

First, subtract 12a from 20a

20a - 12a

= 8a

Now, subtract -3 from -10.

Subtracting a negative number is the same as adding a positive number, so add 3 to -10.

-10 + 3

= -7

Put together 8a and -7

8a - 7

So, the simplified expression is 8a - 7

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