What is the slope of the line that passes through the points (10, 2) and (19, 14)?
Write your answer in simplest form.

Answers

Answer 1

Answer:

The slope of this line is 4/3.

Step-by-step explanation:

(x1, y1) = (10, 2)

(x2, y2) = (19, 14)

First, find the slope using the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

All this is doing is finding the distance between the y-coordinates and dividing it by the distance between the x-coordinates. I marked these two as points 1 and 2 above, so you can plug in all 4 values and solve:

[tex]m=\frac{14-2}{19-10}\\\\m=\frac{12}{9}\\\\m=\frac{4}{3}[/tex]

The slope of this line is 4/3.


Related Questions

Item 3 Martin is a chef and a caterer. When catering an event, he plans the amount of food to be prepared based on the number of people he needs to serve. The equation y = 7x represents the number of ounces of chicken required to serve x people. The equation y = 5x represents the number of ounces of fish required to serve x people. What is true of the comparison of the two graphs?

Answers

Answer:

The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.

Step-by-step explanation:

I took the test

Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Recall:

The linear equation of a proportional graph is represented as y = mx, where m is the slope or gradient.The larger the value of the slope, the steeper the slope of the graph.

Given the following:

Graph representing the number of ounces of chicken required to serve x people: y = 7x

The slope is 7.

Graph representing the number of ounces of fish required to serve x people: y = 5x.

The slope is 5.

Therefore, comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Learn more about slopes on:

https://brainly.com/question/12242745

The distance of AB = [?]
Round to the nearest tenth.
No links and actual help plz!

Answers


AB = 5.6
hope this is helpful!

Answer:

AB ≈ 5.7

Step-by-step explanation:

Calculate AB using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

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

AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]

     = [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]

     = [tex]\sqrt{4^2+4^2}[/tex]

     = [tex]\sqrt{16+16}[/tex]

     = [tex]\sqrt{32}[/tex]

     ≈ 5.7 ( to the nearest tenth )

 

pls help on my maths

Answers

Answer:

X=((2q+5p)/3)^1/2

This is how x has to be subjected

Step-by-step explanation:

Please Brainlist

Answer:

[tex]x[/tex] = √2q + 5p / 3

Step-by-step explanation:

3[tex]x^{2}[/tex] = 2q + 5p

[tex]x^{2}[/tex] = 2q + 5p / 3

[tex]x[/tex] = √2q + 5p / 3

Guys this is the last question for the day please help me out.

Answers

Answer:

So it's 350 - D - B.

And 350 - A - D.

Hope that helped?

Quick! I need an answer now! Please!
Linear or nonlinear:
y=x y=x/2 - 3 3x + y =12 y= 6/x - 2 y=3x^3+5

Answers

this equation is a non linear equation

An equation is linear if there are no exponents or square roots or any funny business goin on

In this case, many of the equations, such as Y=x/2-3 have no exponents, which means they are linear

The only one that is nonlinear is the last one, which has an x^3. This graph would look wiggly (as to mean non linear)

coaches take people to a festival.
Each coach can take 50 people.
From one city there are 820 people.
How many coaches are needed?

Answers

Answer:

17 coaches

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

17 coaches  

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars. Select all the statements that are true.

Answers

Answer: 125 hearts and 375 stars

Step-by-step explanation:

25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars

Answer:

125 hearts and 375 stars

Step-by-step explanation:

Staci pays $32.70 for 5 cell phone cases. Each case costs the same amount. How much does eachcase cost?

Answers

Answer: Each phone case costs $6.54.

Explanation:

$32.70 ÷ 5 = cost per cell phone

$32.70 ÷ 5 = $6.54

Which point is located at (Negative 1, 1 and one-fourth)? A B C D​

Answers

Answer:

Point A

Step-by-step explanation:

Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.

Hope this helps!

what will be the total surface area of a cylinder if

h = 22cm
and
r = 3cm
TSA = ?

Please give me the answer plssss??

Answers

Answer:

total surface area of a cylinder is 471 cm²

To find the distance across a river, a forester sets up stakes at A, B,C and D so that
stakes D and B are in line with a larger tree T, on the opposite bank. Calculate the
width of the river using the measurements given. (Upload a Picture of your solution)

Answers

Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

[tex] \sqrt{15^{2} + 2^{2} } [/tex]

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]

Which equals 74.8 = 75 m

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4. If they make 12 cookies on Monday, how many muffins did they make?

Answers

Answer:

13

Step-by-step explanation:

The proportion is solved and the number of muffins is M = 16

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4

Now , the number of cookies is = 12

So , the proportion is

3 / 4 = 12 / M

Multiply by M on both sides , we get

( 3/4 )M = 12

Divide by 3/4 on both sides , we get

M = 16 muffins

Hence , the number of muffins is 16

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

1) 2x – 3y - z = 7
3x + 5y - 3z = -2
4x – y + 2z = 17
When this system of equations is solved, what is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

2x - 3y - z = 7 (equation 1)

3x + 5y - 3z = -2 (equation 2)

4x – y + 2z = 17 (equation 3)

(1) * 3 : 6x - 9y - 3z = 21 (1)'

(1)' - (2) :  3x - 14 y = 23 (equation 4)

(1) * 2 : 4x - 6y - 2z = 14 (1)"

(1)" + (3) : 8x - 7y = 31 (equation 5)

(5)*2 : 16x - 14y = 62 (5)'

(5)' - (4) : 13x = 39

              x = 3

So thus, x = 3 in this system of equations, you can plug x back into equation 4 or 5 to find y and then plug x and y back into equations 1, 2, or 3 to find z

Find the area of the shape shown below.

Answers

Answer:

14 sq units

Step-by-step explanation:

square - 4

triangle - 4

secong triangle - 6

4+4+6 = 14 sq units

Answer:

A = 10 sq. units

Step-by-step explanation:

Area of a trapezium is the average of the bases times the height.

Base 1 is 8 units

Base 2 is two units

Average is (8 + 2)/2 = 5 units

A = 5(2) = 10 sq. units

It is 5:15 pm now. What time will it be in 40 minutes?

Answers

Answer:

5:55 pm

Step-by-step explanation:

Answer:

5:55pm

Mark brainlest if correct

Step-by-step explanation:

Which equation choice could represent the graph shown below?

Answers

it has to be an equation that adds up to an exponent of 3

Convert 45 mi/hr to feet per minute

Answers

Answer:

3960

Step-by-step explanation:

multiply 45 by the amount of feet in a mile (5280)

take that answer and divide in by how many minutes are in an hour

A function is described by the equation f(x) = x² +5. The replacement set for the independent
variable is {1, 5, 7, 12}. Which of the following is contained in the corresponding set for the
dependent variable?

Answers

Answer:

5

Step-by-step explanation:

5 =5 +5+5=5+5

Solve 5,964 ÷ 7 = ________. Use an area model to help you.

Answers

Answer:

The answer is 852 I think. Please tell me if this is correct.

Step-by-step explanation:

In a bar graph space between rectangles is always​

Answers

Answer:

the same

Step-by-step explanation:

Not as histograms where space must equal 0 as calculating area is needed.

2) If it rains 4 inches in 1 hour, how long will it rain in 12 hours?
Please help this is due tomorrow

Answers

Answer:

It will rain 48 inches in 12 hours.

Step-by-step explanation:

If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48

PLZ mark brainliest if I helped

KEEP GETTING BOTTED! Work out. the area of a circle of radius 7cm. Give your answer in terms of pi
Step-By-Step would be appreciated!

Answers

Answer:

49π cm²

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (7)^2[/tex]

[tex]A=49\pi[/tex]

Therefore, the area of a circle of radius 7 is 49π cm²

Hello there! :-)

The formula for calculating the area of a circle is

A=πr²

A=π(7)²

Notice that only the radius is squared.

A=π(49)

A=154 cm

Hope this helps!

Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with joy and listens to her favourite music

#LetItSnow

Good luck with your studies. :-)

What is the area of the following circle? Use 3.14 for pi and enter your
answer as a decimal.
p=7
units2

Answers

3.14 x 7 x 7 = 153.86

Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).

Answers

1) yes
2) no
3) no
Explanation: try to draw the last two its impossible. The only reason why the first one is a yes is because you could only make a side SLIGHTLY bigger.

Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =

Answers

Answer:

W = - 6

Step-by-step explanation:

-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)

24w - 3 - w = 5w - 5 - 1 -> (Expanded version)

23w - 3 = 5w - 6 -> (Simplified version)

18w - 3 = - 6 -> (Subtract 5w from both sides)

18w = - 3 -> (Add 3 to both sides)

w = 18/-3 which is - 6 -> (Doing 18/-3)

what is 0.75 greater than 9

Answers

Answer: 9.75

Step-by-step explanation: i just added

Answer:

less

Step-by-step explanation:

HELP ASAP!!!!hgghfuygkjb,

Answers

Answer:

120$

Step-by-step explanation:

what figure is a rotation of figure

Answers

Answer:

b

Step-by-step explanation:

what grade?

The price of petrol increased by 8% to Rs 540 per litre. Find the old price.​

Answers

Answer:

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

x+8x/100=54

(100x+8x)/100=54

108x/100=54

x=54* 100/108

x=50.

The original price is Rs. 50

Answer:

Rs 500 per liter

Step-by-step explanation:

Let the initial price be x.

We have:

x + 8% of x = 540

Rewrite it as below and solve for x:

x + 0.08x = 5401.08x = 540x = 540/1.08x = 500

With words, describe the translation:
(x, y)—(x+2, y-4)
o Move 2 to the left and 4 up
o Move 6 diagonally
o Move 4 left and 2 up
o Move 2 to the right and 4 down

Answers

Move 2 to the left and 4 up
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