All categories

3 years ago

What is the slope between the two points that we know (4,9) and (6,1)?

Mathematics

1 answer:

storchak [24]3 years ago

4 0

slope = - 4

To calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 9 ) and (x₂, y₂ ) = (6, 1 )

m = $\frac{1-9}{6-4}$ = $\frac{-8}{2}$ = - 4

You might be interested in

Maurice made a model of the steel tabletop his model measures 7 inches by 13 inches is the model simular to the original

Levart [38]

The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.

8 0

3 years ago

Hi! -2x + y = -11 4x + 4y = 4 System by substitution!!!

Mashcka [7]

Answer:

Point Form:

(

−

)

Equation Form:

−

6 0

2 years ago

Read 2 more answers

Point D is located on MN at (2,43). What ratio relates MD to DN?

Eva8 [605]

The ratio of MD to DN is equal to 2.

<h3>How to find the partition ratio for a line segment</h3>

In accordance with the image set aside, the locations of the points M and N are M(x, y) = (- 6, - 4) and N(x, y) = (6, 4), respectively. Now we determine the vectors associated to line segments MD and DN by vector sum:

<u>MD</u> = D(x, y) - M(x, y)

<u>MD</u> = (2, 4 / 3) - (- 6, - 4)

<u>MD</u> = (8, 16 / 3)

<u>DN</u> = N(x, y) - D(x, y)

<u>DN</u> = (6, 4) - (2, 4 / 3)

<u>DN</u> = (4, 8 / 3)

Lastly, we find the length of each line segment by Pythagorean theorem:

MD = √[8² + (16 / 3)²]

MD = (8 / 3)√13

DN = √[4² + (8 / 3)²]

DN = (4 / 3)√13

And the ratio of MD to DN is:

MD / DN = [(8 / 3)√13] / [(4 / 3)√13]

MD / DN = 2

The ratio of MD to DN is equal to 2.

<h3>Remark</h3>

The statement presents typing mistakes, we kindly present the correct form below:

<em>Point D is located on line segment MN at (2, 4 / 3). What ratio relates MD to DN?</em>

To learn more on line ratios: brainly.com/question/3148758

#SPJ1

4 0

2 years ago

What is the distance between points A and B shown in the graph below

Bas_tet [7]

Answer:

$D = 7\sqrt 2$

Step-by-step explanation:

Given

$A = (-3,-4)$

$B = (4,3)$

Required

The distance between them

This is calculated as:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So, we have:

$D = \sqrt{(3-(-4))^2+(4-(-3))^2}$

$D = \sqrt{7^2+7^2}$

$D = \sqrt{2(7^2)}$

$D = 7\sqrt 2$

3 0

3 years ago

The area of a triangle is 40 square inches. its base is 20 inches. find the altitude

Nadya [2.5K]

Answer: The altitude is 4

Step-by-step explanation:

Once you know the area, you have to work backwards. I flipped the area equation to solve for height and got 2A/b = h. After that I plugged in the numbers and got an altitude of 4.

4 0

4 years ago

Read 2 more answers