find the slope of the line through the given points (1,1) (4,-1)

Answer:

The answer is -5/8, smaller fractions are always closer to a whole number which make them more, another way to look at it is 5 is 3 numbers away from 8, and 6 is 4 numbers away from 10, which makes -5/8 greater.

Hope this helps!

A rectangle has 4 coordinates.

The coordinate of the last vertex is (-2,-8)

The points are given as:

[tex]\mathbf{A = (-7,-4)}[/tex]

[tex]\mathbf{B = (1,6)}[/tex]

[tex]\mathbf{C = (6,2)}[/tex]

Calculate distance AB

[tex]\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{AB = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}[/tex]

Calculate distance CD

[tex]\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{CD = \sqrt{(x - 6)^2 + (y - 2 )^2}}[/tex]

Equate AB and CD

[tex]\mathbf{ \sqrt{(x - 6)^2 + (y - 2)^2} = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\\[/tex]

Cancel out the squares

[tex]\mathbf{ (x - 6)^2 + (y - 2)^2 = (-7 - 1)^2 + (-4 - 6)^2}[/tex]

By comparison

[tex]\mathbf{x -6 = -7-1}[/tex]

[tex]\mathbf{y-2 = -4-6}[/tex]

So, we have:

[tex]\mathbf{ x = 6-7-1 }[/tex]

[tex]\mathbf{ x = -2}[/tex]

[tex]\mathbf{y = 2-4-6 }[/tex]

[tex]\mathbf{y = -8}[/tex]

Hence, the coordinate of the last vertex is (-2,-8)

Read more about coordinates at:

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Answer:

3/7 times 2/3 is 2/7

Step-by-step explanation:

I used a calculator ! Please let me know if i am incorrect.

Answer:

0.28571428571

basically 0.28

Step-by-step explanation:

gooogle calculator

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 6, 0 ) and (x₂, y₂ ) = (0, - 9) ← 2 points on the line

m = [tex]\frac{-9-0}{0-(-6)}[/tex] = [tex]\frac{-9}{0+6}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex]

The line crosses the y- axis at (0, - 9 ) ⇒ c = - 9

y = - [tex]\frac{3}{2}[/tex] x - 9 ← in slope- intercept form

Multiply through by 2 to clear the fraction

2y = - 3x - 18 ( add 3x to both sides )

3x + 2y = - 18 ← in standard form

Answer:

4/5

Step-by-step explanation:

Take two points on the lines. From here, we can get (5, 2) and (10, 6). Slope formula involves taking RISE/RUN, which is where you take y-y/x-x. Stay consistent on how you order the numbers. I like positive numbers, so we'll do (6-2)/(10-5). That gives us 4/5, which is your slope.

Given :-

To find :-

Solution :-

General Equation of slope intercept form ,

Here c = 0 , so its y intercept will be (0,0) . Hence it will pass through origin .

Answer:

answer is on my head

Step-by-step explanation:

I need points

Answer:

The answer is 6

Step-by-step explanation:

Why is it 6? because surface means like the total faces it has.

Answer:

a = 18

Step-by-step explanation:

Slope = (7-6)/(4-8) = -1/4

y-intercept = 7 - (-1/4)(4) = 8

Equation of the line: y = - 1/4x + 8

(Substitute y for 3.5. When y is 3.5, what is x)

3.5 = - 1/4x + 8

3.5 - 8 = - 1/4x

(-4.5) / (- 1/4) = x

x = 18

Answer:

C

Step-by-step explanation:

The vertical line test determines that more than 1 point falls on the vertical line making the graph NOT a function

Answer:

x=65

Step-by-step explanation:

Answer:

74/5

Step-by-step explanation:

15x5 =75 5ths. 1/5 + 74/5 = 75/5

Answer:

x = 4.5

Step-by-step explanation:

[tex]\frac{x}{3}[/tex] = 1.5 ( multiply both sides by 3 to clear the fraction )

x = 3 × 1.5 = 4.5

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

What is an exponential model?

Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).

The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.

Given that a fitness trainer is tracking the combined weight loss of several new customers.

She is recording for 6 months.

Now, we have to find the best mathematical model with the corresponding R² value

Given, the combined weight loss are - 175, 120, 95, 63, 44 and 30.

The formula for coefficient of determination R² = (x-x')(y-y')/√∑(x-x')²(y-y')²

≈ 0.996

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

To know more about exponential model:

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Answer:

15/35

Step-by-step explanation:

7 x ? =35

7 x 5 =35

whatever you do to the bottom , you do to top so you times 3 by 5.

3 times 5 = 15, therefore, it is 15/35

Answer:

15 over 35

Step-by-step explanation:

35/7 = 5

5*3 = 15

then:

3/7 = 15/35

Answer:

A

Step-by-step explanation:

C  - 6  <    4

    +6     +6  

C       < 10    

Open circle at 10 and shade to the left.

Answer:

Knowns:

initial velocity (v₀) = 0

final velocity (v₁) = 100 km/h

acceleration (a) = 9.00 m/s²

Unknowns: how long the acceleration took (Δt) = ?

Step-by-step explanation:

Use one of the kinematics equations to find what you're looking for.

This equation with a little algebra should help

v₁ = v₀ + aΔt

Answer:

3.5 hours

Step-by-step explanation:

You are trying to isolate X (get X by it self) to do that you need to divided both sides of the equation by 60 resulting in X=3.5

Divide both sides by 60 to isolate x

x=3.5 hours

Hope this helps you! :)

[tex]GraceRosalia[/tex]

Answer:

i dont know if i did this right buut

Step-by-step explanation:

no answer bcz w bff fgfthsrgffd

Answer:

∅=45°

Step-by-step explanation:

[tex]2sin[/tex]∅=[tex]\sqrt{2}[/tex]

[tex]sin[/tex]∅=[tex]\frac{\sqrt{2} }{2}[/tex]

∅=[tex]sin^{-1} (\frac{\sqrt{2} }{2} )[/tex]

∅=45°

I hope this help you

Answer:

- 1

Step-by-step explanation:

-3 (-3) -10

9 - 10 = -1

Answer:

x < - 4

Step-by-step explanation:

- 5 - 3x > 2(10 + 2x) + 3 ← distribute parenthesis and simplify right side

- 5 - 3x > 20 + 4x + 3

- 5 - 3x > 4x + 23 ( add 3x to both sides )

- 5 > 7x + 23 ( subtract 23 from both sides )

- 28 > 7x ( divide both sides by 7 )

- 4 > x , that is

x < - 4

Answer: The slope of the line is 6.

You can use the distance formula to find the slope (Y2-Y1/X2-X1). You can plug in any two points seen on the graph into the formula. I will use (0,-1) and (1,5). When I plug in the values, 5-(-1)/1-0=6/1=6. So the slope of the line is 6.

:)

Answer:

The graph below

Step-by-step explanation:

Start at -2 on the y-axis and go up 1/2 every space you go on the x-axis

Hope this Helps

oh yeah i know the answer. thats cool you need it

Answer:

-5p (11p-8p+7p-15p = 4 terms)

100 - 100m 5 terms

-4.1n^3 + 3.6 a^2 + 1.4a. 4 terms

26 x^2y - 22 x y^2. 2 terms (can’t be combine)

Step-by-step explanation:

Answer:

nope sorry

Step-by-step explanation: