Find the slope of the line containing the pair of points.
(2, -9) and (12,6)

Answers

Answer 1

Answer:

slope = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 9 ) and (x₂, y₂ ) = (12, 6 )

m = [tex]\frac{6-(-9)}{12-2}[/tex] = [tex]\frac{6+9}{10}[/tex] = [tex]\frac{15}{10}[/tex] = [tex]\frac{3}{2}[/tex]


Related Questions

If R is (-4, 7) and S is (-2, 12), what is the component form of the vector R.S?
(8,84)
(2,5)
(-6, 19)
(-3,9.5)

Answers

Answer:

(2, 5)

Step-by-step explanation:

Given:

R = (-4, 7)S = (-2, 12)

To find the components of [tex]\overrightarrow{RS}[/tex] we need to go from R to O and then O to S.  Remember that [tex]\overrightarrow{RO}[/tex] is the negative of [tex]\overrightarrow{OR}[/tex].  Therefore:

[tex]\begin{aligned} \displaystyle \overrightarrow{RS} & =\overrightarrow{RO}+\overrightarrow{OS}\\& = \overrightarrow{OS}-\overrightarrow{OR}\\& =\binom{-2}{12}-\binom{-4}{7}\\& =\binom{2}{5}\end{aligned}[/tex]

Therefore, the component form (x, y) of the vector [tex]\overrightarrow{RS}[/tex] is (2, 5)

The rule is "Multiply by 8." Which statement is true? Number of Packages 3 5 6 8 Number of Juice Boxes 24 40 48 ? A. The number of juice boxes will always be greater than 24. B. The number of packages will always be greater than the number of juice boxes. C. The number of juice boxes must be an even number. D. The number of juice boxes will always be 21 more than the number of packages.
I need the answer ASAP!

Answers

The statement (C) the number of juice boxes must be an even number is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a rule is “Multiply by 8"

Number of Packages:         3    5   6    8

Number of Juice Boxes:     24  40  48

The statements are:

A. The number of juice boxes will always be greater than 24. B. The number of packages will always be greater than the number of juice boxes. C. The number of juice boxes must be an even number. D. The number of juice boxes will always be 21 more than the number of packages.

Number of package starts from 3

Applying the rule: "Multiply by 8.

Number of Juice Boxes = 3×8 = 24

The statement should be the number of juice boxes will always be greater than and equal to 24.

When we multiply even with odd we get an even number.

8 is an even number.

Thus, the statement (C) the number of juice boxes must be an even number is correct.

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Find the area of a regular polygon with 5 sides that has a side length of 6 inches and an apothem of 9 inches.

Area = [?]in2

Answers

Answer:

see the attachment photo!

Answer: The correct answer is 135 in².

Step-by-step explanation: An area of a polygon is this:

Area = (number of sides × length of one side × apothem)/2

(5 x 6 x 9) / 2 = 135

what is the product of -2/7and-3/7

Answers

6/49

Step-by-step solution.2/7 × 3/7=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2×37×7 =6/49

This fraction cannot be reduced.

Therefore:

2/7×3/7=6/49

Solution by formals.

Apply the fractions formula for multiplication, to

2/7×3/7

and solve

2×37×7=6/49

Therefore:

2/7×3/7=6/49

Bryannasalaz

a running relay team ran a 400 meter race in a record-setting time of 36 seconds.what was their average speed to the nearest tenth of a meter per second?

Answers

Answer:

406858reuyy igcbjiy469633

the width of a rectangular prism is 7cm, height is 5cm and length is 13 cm. find the volume​

Answers

455 cm

7 x 5 x 13 = 455
Given:Width= 7 centimetersHeight= 5 centimeters Length= 13 centimetersTo find:

The volume of the given rectangular prism.

Solution:

[tex]\huge\boxed{Formula: lwh}[/tex]

To find the the volume we'll have to multiply the height, width and length.

[tex]V=\: 13×7×5 [/tex]

[tex]\large\boxed{V= \:455\: {cm}^{3}}[/tex]

Therefore, the volume of the given rectangular prism is 455 cubic centimeters.

30 POINTS FOR THE BRAINLIEST!!!!!


Find the exact value of x and y. (Do not round - no decimals)


Answer x = ____ units

Answer y = ____ units


Explain how you found side length measure below. Be sure to show all of your work.

Answers

The triangle is (90 degrees) as we can see. We have found one side of three, which is equal to (60 degrees). All sides of a triangle add up to (180 degrees).
To find y and x, subtract 180 degrees from 60 degrees (180-60=120 degrees)
Remember, the triangle is a 90 degree angle, so one of the angles that add up to 120 is already 90 degrees, subtract 120-90 to get 30. Angle x is 30
To check: all triangles = 180 degrees
60+90+30= 180
You have now completed this question woohooooo time for me to continue my math, wish you all the best random internet stranger

ill give brainliest, help

Answers

Answer:

2 up 3 run

Step-by-step explanation:

just count the squares until u reach a part where the line touches again


3x-2y=12
6x-4y-24
OIt has infinitely many solutions.
OIt has no solution.
O It has one solution (2, -3).
O It has one solution (4, 0).

Answers

Answer: NO SOLUTION!!
(WORK SHOWN BELOW)


A system of two equations is shown below. What will you need to multiply the
top equation by in order to solve this system using the elimination method?
x + y = 4
3x+4y=14
A. 3
OB. 4
C. -2
D. -3

Answers

You would use -3 so the top equation would be
-3x-3y=-12
3x+4y=14

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of 4,000,000 and a mean life span of 19,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 20,179 hours. Round your answer to four decimal places.

Answers

Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 19000, \sigma = \sqrt{4000000} = 2000[/tex]

The probability that the life span of the monitor will be more than 20,179 hours is one subtracted by the p-value of Z when X = 20179, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20179 - 19000}{2000}[/tex]

Z = 0.59.

Z = 0.59 has a p-value of 0.7224.

1 - 0.7224 = 0.2776.

0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

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Can u help me pls i will be putting some more problems
look the image

Answers

28+ 90 + 2x = 180
2x = 62
x = 31

Step-by-step explanation:

2x + 28° + 90° = 180° ( The sum of all angle of triangle is 180° )

Now you may add 28° and 90° and subtract it from 180° ...

2x = 62° ..

Now...divide 62 by 2 ...

x = 31°

hence the value of x is 31°....

Jasmine played in a basketball tournament. The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. If Jasmine missed 9 baskets during the tournament, how many baskets did she make? Draw a diagram to demonstrate how you found your answer.

Answers

A ratio shows us the number of times a number contains another number. The number of baskets Jasmine made is 24.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. Therefore, we can write,

(Number of baskets Missed)/ (Number of baskets made) = 3/8

If Jasmine missed 9 baskets during the tournament, then the ratio can be rewritten as,

(Number of baskets Missed)/ (Number of baskets made) = 3/8

9 / (Number of baskets made) = 3/8

(9×8)/3 = (Number of baskets made)

Number of baskets made = 24 baskets

Hence, the number of baskets Jasmine made is 24.

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pls help! look at the photo ill give brainliest!

Answers

Step-by-step explanation:

Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes 4/5 of an hour to fill 1/2 the tank

First we convert 4/5 of an hour in to

minutes

4/5 6048 minutes

In 48 minutes ----> 1/2 tank filled

In 60 minutes ----> 60 * 1/2 divide by 48

30 divide by 48=\frac{30}{48}

48

30

All 15%

Simplify the fraction by dividing top and

bottom by 6

30/48 = 5/8

what percentage of 2m is 40cm​

Answers

Answer:

20%

Step-by-step explanation:

the units of measure must be the same, so

2m = 2 × 100 cm = 200 cm

then

[tex]\frac{40}{200}[/tex] × 100%

= 0.2 × 100%

= 20%

Answer:

20%

Step-by-step explanation:

2 m = 200 cm

We are required to find: what percentage of 2m is 40cm.

Required percentage [tex]=\frac{40}{200}\times 100[/tex]

Required percentage [tex]=\frac{4000}{200}[/tex]

Required percentage [tex]=20%[/tex]

Based on the work below, is (4, 7) a solution to the equation given?

Answers

Answer:

No

Step-by-step explanation:

If a ordered pair is a solution for an equation, then it will satisfy the equation. That is, after substituting the x and y values in the equation, both sides of the equation will be same.

Here 29 ≠ 45.

So, (4,7) is not a solution

logan trades 50 pennies for nickels he gets a nickel for each group of 5 pennies what equation can be used to find how many nickels logan uses

Answers

The  equation  that can be used to find how many nickels logan uses is: 50÷5.

Equation to find the number of nickels

Given:

Total pennies=50

Logan got a nickel of 5 pennies=1

Hence:

Number of nickels=1÷5×50

Number of nickels=50÷5

Number of nickels=10 nickels

Therefore the  equation  that can be used to find how many nickels logan uses is: 50÷5.

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The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.
scale factor = 2:7
SA= 8 cm²
V = 128 cm³
A) SA=98 cm², V = 5488 cm³
B) SA= 686 cm², V = 5488 cm³
C) SA= 98 cm², V = 686 cm³
D) SA=98 cm², V = 784 cm³
E) SA 14 cm². V = 112 cm³

Answers

I think that B might be the best answer

Solve for x. Round to the nearest tenth, if necessary.
56
Z
43°
x
M

Answers

60.2 is the value of x in Trigonometric ratios

What are the trigonometric ratios?

Trigonometric ratios are used to describe the side ratios of a right triangle. The sine (sin), the cosine (cos), and the tangent are three popular trigonometric ratios (tan).

                      Greek is the language of measuring, "metric," and "trigon" is the language of triangles. It is possible to measure a right triangle specifically using its trigonometric ratios.

43 degree as reference angle

using tan rule

tan 43 = opposite / adjacent

0.93 = x / 56

x = 56/0.93

x = 60.21

x = 60.2

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What’s the result of adding these two equations? Please help

Answers

Answer:

u should subract those not add

What is true about the solution to the system of inequities shown?


-2 -5-4-3-2-1, y≤x-1 y≤ x-3 O All values that satisfy y ≤ x-1 are solutions. All values that satisfy y ≤x-3 are solutions. O All values that satisfy either y≤ x-1 or y≤ x-3 are solutions. There are no solutions. Save and Exit Mark this and return V Next Sube

Answers

The true solution to the system of inequities shown is B; All values that satisfy  [tex]y \leq \dfrac{ 1}{3}x - 3[/tex] are solutions.

What is a system of inequalities?

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalities.

A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

A set of such values is called a solution set to the considered equation or inequality.

The true solution to the system of inequities shown is B;

All values that satisfy  [tex]y \leq \dfrac{ 1}{3}x - 3[/tex] are solutions.

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Worth 20 points! Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for triangle ABC?
(file is attached below!

Answers

The value of the perpendicular is 12 and the hypotenuse is 8√3.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The value of the sides will be calculated as:-

The perpendicular side will be calculated by using tan theta.

tan Ф = Perpendicular / BAse = P / 4√3

P = 4√3 x tan(60)= 4 √3 x √3 =12

The value of the hypotenuse will be calculated by using the Cos angle:-

Cos 60 = Base \ Hyputenuse.

Cos 60 = 4√3 / Hypotenuse

1 / 2 = 4√3 / Hypotenuse

Hypotenuse = 2 x 4 x √3 = 8√3

Therefore the value of the perpendicular is 12 and the hypotenuse is 8√3.

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A solid cylinder has a radius of rm and a height of 12 m.
The volume of the cylinder is 507 m³.
Find the value of r.

Answers

Answer:

6.5m

Step-by-step explanation:

V=TTr²h

507TT=TTr²12

cancel TT on both sides

507=12r²

169\4=r²

r=13/2

Find each square root after supplying:

Answers

Answer:

1) 5
2) 0.8
3)  -1.3

4) -[tex]\frac{4}{9}[/tex]

5) ±10

6) ±[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

Find c. Give your answer in
the simplest form.
c = [?]V []
d

7V2
a
45

30
b
C
Enter the number that belongs in
the green box.

Answers

Answer:

see the attachment photo!

Determine the number of triangles that can be constructed given the conditions in a-d.
a. m b. Three line segments measure 21 inches, 7 inches, and 4 inches → _
c. RS = 14 cm, m d. m

Answers

Only b we can check

Line lengths are 21in,7in,4in

The rule is sum of two sides must be greater than third side

Check

21+7>47+4<2121+4>7

They can't form a triangle

What is the probability of getting two heads if you flip two fair coins? answer as a simplified fraction ​

Answers

Answer: [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

use probability

the chances of you getting heads on a coin is 50% therefore, flipping two coins is just

[tex]\frac{1}{2} * \frac{1}{2}= \frac{1}{4}[/tex]

Answer:

the probability of getting two heads is 1/4

Step-by-step explanation:

H = (HH) => n(H) = 1

n(S) = 4

P(E) = number of favourable outcomes/total number of outcomes = n(E) / n (S)

PH = n(H)/n(S)

= 1/4

The base area of a rectangular water tank is 1000cm². If the tank has a height of 100cm' a) Find the capacity of the water tank.​

Answers

The capacity or volume of the rectangular water tank is 100000 cm³.

How to find the volume(capacity) of a water tank?

volume of a rectangular water tank = base area × height

where

base area = lw

Therefore,

base area = 1000 cm²

height = 100 cm

Therefore,

capacity(volume) of the water tank = 1000 × 100 = 100000 cm³

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find the value of x in the following equation 8x- 6=50​

Answers

Answer:

x = 7

Step-by-step explanation:

8*7 - 6 = 50

19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?

Answers

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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Answer:

Step-by-step explanation:

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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