what is the slope of the line

What Is The Slope Of The Line

Answers

Answer 1

Answer:

1.5 OR 3/2

Step-by-step explanation:

Slope (m) = ΔY/ΔX= 3/2=1.5

θ = arctan(ΔY/Δx)= 56.30993247402°

ΔX = 3 – 1 = 2

ΔY = 0 – -3 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

Equation of the line:

y = 1.5x – 4.5

or

y=3/2x-9/2

Thus, 3/2

Answer 2

Answer:

m = 1.5

Step-by-step explanation:

Use the coordinates of two points on the graph:

(1, -3), (3, 0)

Find the slope using slope formula:

m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.5

Related Questions

The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.

-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2

-If 121 is the output, what was the input?

Answers

Answer:

Step-by-step explanation:

Find the equation of the line passing through the following : (-1;6) and (-3;0)

Please help... ​

Answers

Answer:

Step-by-step explanation:

[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3  = b

b = 9

y = 3x + 9

Please.....................

Answers

Answer:

B

Step-by-step explanation:

what is the value of x?
a)
[tex]2 \sqrt{10} [/tex]
b)
[tex]2 \sqrt{2} [/tex]
c)
[tex]2 \sqrt{5} [/tex]
d)
[tex]2 \sqrt{3} [/tex]

Answers

Answer:

A

Step-by-step explanation:

using pythagoras theorem

h²=p²+b²

simplify 2 by 3 multiply by 2 plus 3 1 by 3​

Answers

Step-by-step explanation:

[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]

[tex] \\ = \frac{4 + 10}{3} [/tex]

[tex] \\ = \frac{14}{3} [/tex]

[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]

Write the triangle congruence statement.

Answers

Answer:

If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent.  SSS

Step-by-step explanation:

or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent.  SAS

Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.

Answers

(-2,1)(3,3)

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

What is the slope of the line?

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

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Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

Answers

The result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]

Given the following expressions

[tex]log_am=10\\log_an=25[/tex]

This can be expressed as

[tex]m =a^{10} \ and \ n = a^{25}[/tex]

Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:

[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]

This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

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You are going on vacation. You have $105 to take with you. You expect to spend $15 each day. You want to have $30 remaining at the end of the vacation. Write an explicit formula to represent this scenario. For how many days can you spend $15 a day?

Answers

Answer:

105-15x=30

5 days

You can spend the amount of $15 a day for 5 days if you have $105 to take with you.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

You're going on vacation. You have $105 with you. You plan to spend $15 per day. You want to have $30 left at the end of your trip.

Let the number of days would be x

According to the given information, the required solution would be as

105 - 15x = 30

The above explicit formula represents the given scenario.

105 - 15x = 30

Rearrange the terms in the above equation,

15x = 105 - 30

Apply the subtraction operation,

15x = 75

x = 75/5

Apply the division operation,

x = 5

Therefore, you can spend the amount of $15 a day for 5 days.

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um I need help with thissss

Answers

Answer:

its you again

Step-by-step explanation:

if they have the same amount of dashes on the same sided they are congruent

does that answer your question

if they have the same amount of dashes on the same sided they are congruent

The wire is 25 feet long is stretched from the top of a flagpole to the ground at a point 15 feet from the base of the pole .how high is the flag pole

Answers

Answer:

20 feet

Step-by-step explanation:

Using Pythagoras rule:

25^2 - 15^2

625 - 225

400

√400 = 20 feet

Having trouble using logarithmic differentiation!

Answers

Answer:

Having trouble using logarithmic differentiation!

i need the solution to this problem pls!

Answers

Answer:

FE = 43.2

Step-by-step explanation:

FE/36 = 24/20

multply both sides by 36

FE = 24/20 * 36

FE = 43.2

choose the correct description of the system of equations. 3x-y=5 6x=2y+5 A.Consistent and independent B.Consistent and dependent C.Inconsistent D.Inconsistent and dependent

Answers

Answer:

C. inconsistent

Step-by-step explanation:

3x - y = 5                      6x = 2y + 5         Solve for y

3x - 5 =  y                      6x - 5 = 2y

3x - 5 = y                       [tex]\frac{6x}{2} - \frac{5}{2} = \frac{2y}{2}[/tex]

3x - 5 = y                       3x - 2.5 = y

Slope = 3                       Slope = 3                    Same slope

y-intercept: -5                 y-intercept: 2.5         Different intercepts

                                                                           not solution set

The FAA tracks average flight delays. It found that, last year, a particular airline had an average flight delay of 20 minutes. So far this year, the airline has an average that is 45% shorter. What is the current year's average?

Answers

Answer:

11 minutes

Step-by-step explanation:

45% of 20 can be found by multiplying 20 and 0.45

which equals 9

so if the average delay was 20 but is now 9 minutes shorter then the current year's average is 11 minutes

The average delay in the current year is 11 minutes.

Given that, last year, a particular airline had an average flight delay of 20 minutes.

This year the airline has an average that is 45% shorter.

We need to find what is the current year's average.

What is average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Now, 45% of 20=45/100×20=9

So,20-9=11

Hence, the average delay in the current year is 11 minutes.

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3(2x + 5) + 4(3x - 2)

Answers

Answer:

18x+7

Step-by-step explanation:

3(2x + 5) + 4(3x - 2)

6x+15 + 12x - 8.........distribute

18x+7..........................combine like terms

18x+7

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]3(2x + 5) + 4(3x - 2)[/tex]

You have to distribute:

[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]

[tex]=6x+15+12x+-8[/tex]

You must combine like terms:

[tex]=6x+15+12x+-8[/tex]

[tex]=(6x+12x)+(15+-8)[/tex]

[tex]=18x+7[/tex]

ANSWER:

[tex]=18x+7[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Identifying values in the domain PLS HELP

Answers

(F)(x) is your answer there you go

what is the desimal for

Answers

Answer:

A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.

Answer:

Decimals are used to express the whole number and fraction together.

Step-by-step explanation:

what is the x-intercept of a line that passes through the point (3,4) and has a slope of 2?​

Answers

Answer:

(1,0)

Step-by-step explanation:

Hi there!

We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2

First, let's find the line

We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

We do have everything needed to write the equation, let's just label everything to avoid confusion:

m=2

[tex]x_1=3[/tex]

[tex]y_1[/tex]=4

Now substitute those values as the variables that they represent into the equation:

[tex]y-y_1=m(x-x_1)[/tex]

y-4=2(x-3)

Now we have the equation in slope-point form

The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0

So we can substitute y as 0 in the equation to find out the value of x:

y-4=2(x-3)

0-4=2(x-3)

Multiply

0-4=2x-6

Add 6 to both sides

0+2=2x

Simplify the left

2=2x

Divide both sides by 2

1=x

So the value of the x intercept is 1, also written as the point (1,0)

Hope this helps!

Would two successive 90° rotations counterclockwise about the origin result in the same image as a 180° rotation clockwise about the origin? Explain.

Answers

Answer:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

Step-by-step explanation:

solving systems of equations in three variables

Answers

Answer:

A: (x = 34, y = -27, z = -1)

Step-by-step explanation:

Plug the variables in. It might be tedious, but it guarantees you get it right.

Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.

In case you still weren't sure if the answer was A or not;

B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.

C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.

D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!

A is the correct answer.

y = -3x + 5
y = 7 + 3(x - 2)
y = 2(x - 1) - 4
y = x - 6
determine if they represent a linear or nonlinear function.

Answers

Answer:

linear

Step-by-step explanation:

They are all Linear all of them

Trinity already has $135 dollars in her savings account. If she puts $15 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $480 in her account.

Answers

Answer:

let x stand for number of weeks

135+15x>=480

x>=23

Step-by-step explanation:

subtract 135 on both sides

15x>=345

divide by 15 on both sides

x>=23 is your solution

Answer:10

Step-by-step explanation:

10

750[tex]\geq[/tex](12+x)(24+x)

Answers

Answer:

Step-by-step explanation:

Pls help me solve this

Answers

Answer:

F. Yes, by the SAS Congruence Theorem

Explanation:

In △ABC and △EDC:

BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)

Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.

△ABC ≅ △EDC

i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)​

Answers

Answer:

I have simplified it to −

2 ^ 3 − 3 ^2 +  

Step-by-step explanation:

Answer:

[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]

Step by Step Solution:

Use the distributive property to multiply – w by – 2x – 3w + 1.

[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]

Multiply −2 and −1 to get 2.

[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]

Multiply −3 and −1 to get 3.

[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]

Multiply w and w to get w².

[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]

Hope It's Help

If you guys know how to do this lemme know, thanks :))

Answers

Answer:

A 65

Step-by-step explanation:

x = -5

y = -8

-5 - 5 (-8)^2 / -5 = -325 / -5

= 65

Answer:

65

Step-by-step explanation:

So, this expression is asking us to solve an equation when x = -5 and y = -8.

When asked to solve problems like this, all we have to do is plug in the numbers accordingly

[tex]\frac{x-5y^2}{x} ---->\frac{(-5)-5(-8)^2}{(-5)}[/tex]

Now, we can simplify using PEMDAS

[tex]\frac{-5-5(64)}{-5} = \frac{-5-320}{-5} = \frac{-325}{-5} = 65[/tex]

Please correct me if i'm wrong :)

PLSSS HELP
Order the numbers from least to greatest​

Answers

Answer:

It is the Last answer D

Step-by-step explanation:

because 15/2 is equal to 7 1/2

the square room of 64 is 8

and 8.1444444 is less than 8 1/7

3-(1/3) to the fourth power

Answers

Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

Rate BRAINLIEST

Is this true or false? The following graph represents a proportional relationship: (1 point)

Answers

Answer:

where is the graph??

Step-by-step explanation:

i have no picture soooo like

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