Answer:
(3, -5) (4, -5) (2, -7)
Step-by-step explanation:
An integer is any whole number that is not a fraction, they include -10204, -3, 0, 5, and 8592. (random numbers)
A coordinate with integers can be anything such as (0, 4582) and (547, 42)
However, it can not be (0.45846, 4579) or (54.42, 58).
To determine which points have coordinates that look like they are integers, you just have to select 3 points that lie at the intersection of the y and x value tic marks
You can see that (3, -5) is at the intersection of the x value 3 tic mark and the y value -5 tic mark, while also being on the parabola.
Answer:
no it is not a rational number because
Step-by-step explanation:
183 is a fraction, which can be simplified as 618 13 =61=6 . Hence, It belongs to Natural numbers , which are {1,2,3,4,5,6...............}
Did you understand?
Option A is the relationship which shows a direct variation.
Step-by-step explanation:
The direct variation is a relationship between two variables in which one is the multiple of the other. It is given by the relation
![\frac{y}{x}=k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3Dk)
Option A:
For
and
,
![\frac{y}{x}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B2%7D)
For
and
,
![\frac{y}{x}=\frac{2}{4}= \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7B2%7D%7B4%7D%3D%20%5Cfrac%7B1%7D%7B2%7D)
Since, the constant k is equal for all the values of x and y in the table, this relationship is a direct variation.
Option B:
For
and
,
![\frac{y}{x}=\frac{4}{2}= 2](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7B4%7D%7B2%7D%3D%202)
For
and
,
![\frac{y}{x}=\frac{16}{4} =4](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7B16%7D%7B4%7D%20%20%3D4)
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Option C:
For
and ![y=3](https://tex.z-dn.net/?f=y%3D3)
![\frac{y}{x} =\frac{3}{1} =3](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%5Cfrac%7B3%7D%7B1%7D%20%3D3)
For
and ![y=5](https://tex.z-dn.net/?f=y%3D5)
![\frac{y}{x} =\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%5Cfrac%7B5%7D%7B2%7D)
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Option D:
For
and ![y=-1](https://tex.z-dn.net/?f=y%3D-1)
![\frac{y}{x} =\frac{-1}{1} =-1](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%5Cfrac%7B-1%7D%7B1%7D%20%3D-1)
For
and ![y=2](https://tex.z-dn.net/?f=y%3D2)
![\frac{y}{x} =\frac{2}{2} =1](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%5Cfrac%7B2%7D%7B2%7D%20%3D1)
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Thus, Option A is the relationship which shows direct variation.
Answer:
![3\sqrt{3}](https://tex.z-dn.net/?f=3%5Csqrt%7B3%7D)
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle, so you should always remember the rule shown in the picture. Because y is across from the 60° angle, it will be
. 3 is x because it is across from the 30° angle, so y will be
.
Answer:
10 1/2 or 10.5
Step-by-step explanation:
21 divided by 2 is equal to 10.5