All categories

3 years ago

What is the slope of the line through (1,6) and (0,2)

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

I will use the graphing method.

To find the slope of the line using this method,

first set up a coordinate system.

Now plot both of your points.

Label a point A and label another one B.

I have chosen to label (0,2) A and (1,6) B but it doesn't matter.

Now graph a line through the 2 points.

Now the slope or m is equal to the rise over run

from point A to point B on the coordinate system.

To get from point A to point B, we rise 4 units and run 1 unit.

So our slope or rise over run is 4/1 which reduces to 4.

You might be interested in

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inc

Bond [772]

The relationship is that two times the volume of cylinder is volume of cone

Solution:

Given that, cylinder and a cone have the same diameter: 8 inches

Diameter = 8 inches

Radius is diameter divided by 2

$radius = \frac{diameter}{2}\\\\radius = \frac{8}{2} = 4$

Radius = 4 inches

Let us find the volume of cylinder and cone

Volume of cylinder:

$volume = \pi r^2 h$

Radius = 4 inches

The height of the cylinder is 3 inches

height = 3 inches

Substituting the values, we get

$volume = 3.14 \times 4^2 \times 3\\\\volume = 3.14 \times 16 \times 3\\\\volume = 150.72$

Thus volume of cylinder is 150.72 cubic inches

Volume of cone:

$volume = \frac{\pi r^2h}{3}$

Radius = 4 inches

The height of the cone is 18 inches

height = 18 inches

Substituting the values, we get

$volume = \frac{3.14 \times 4^2 \times 18}{3}\\\\volume = 3.14 \times 16 \times 6\\\\volume = 301.44$

Thus volume of cone is 301.44 cubic inches

What is the relationship between the volume of this cylinder and this cone?

Volume of cylinder is 150.72 cubic inches

Volume of cone is 301.44 cubic inches

On observing the volume of cylinder and cone, we find that two times the volume of cylinder is volume of cone

$2 \times \text{Volume of cylinder} = \text{Volume of cone}$

$2 \times 150.72 = 301.44\\\\301.44 = 301.44$

Thus the relationship between the volume of this cylinder and this cone is that two times the volume of cylinder is volume of cone

5 0

4 years ago

Which triangle has no equal sides?

emmasim [6.3K]

Answer:

scalene triangle

Step-by-step explanation:

A scalene triangle has three different angles and none of its sides are equal in length.

8 0

3 years ago

What is the slope of a line that is parallel to the line y = -1/5 ?

Kisachek [45]

The line have a slope of 0.
The line parallel to this will also have a 0 slope.

7 0

3 years ago

8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the sel

alexdok [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

Mark has, in his kitchen, the ingredients needed to prepare 78 different recipes with two ingredients

pochemuha

Answer:

13 ingredients

Step-by-step explanation:

The number of different recipes that can be made from 2 ingredients = 78

Since there are no two recipes that share the exact same two ingredients ;

The number of recipes in Mark's kitchen is:

nCk = 78

k = Number of ingredients per recipe = 2

n = total number of ingredients in kitchen

Total recipes made = 78

n! / (n-r)!r! = 78

n! / (n - 2)!2! = 78

n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78

n(n - 1) / 2 = 78

n(n-1) = 156

n² - n = 156

n² - n - 156 = 0

Factorize :

n² - 13n + 12n - 156 = 0

n(n - 13) +12(n-13) = 0

(n-13) = 0 ; (n+12) = 0

n = 13 or n = - 12

n cannot be negative

Hence, n = 13

Number of ingredients is 13

3 0

3 years ago