The equation of the circle:
(h, k) - center
r - radius
We have:
Substitute:
Find the point on the line y = 3x 10 that is closest to the origin.
1 answer:
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No, (2,2) is not solution of y < 4x - 6
Step-by-step explanation:
To solve above linear problem, we use standard method of Back- Substitution.
First of all, A point (2,2) only becomes solution of equation, if it satisfies equation .
Here, the seems to be like a linear equation.
In this Equation, using Back- Substitution method,
Point (2,2) : first digit 2 corresponds to x- coordinate and second digit 2 corresponds to y-coordinate.
By putting value of x and y in equation (1),
Equation becomes,
.... not true mathematically.
Finally, the result came is not true. Therefore, (2,2) is not solution for equation
Dot plots are used to represent data using dots
The true statements about the dataset are:
- The range of the number line should be 0 to 7 to represent the frequency.
- Four families said they ate out twice the previous week.
- One family said they ate out 5 times the previous week
The dataset is given as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
Rearrange in ascending order
0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6
Represent as a frequency table
Data Frequency
0 2
1 2
2 4
3 0
4 2
5 1
6 1
See attachment for the dot plot
From the attachment, we can see that:
- 4 has a frequency of 2
- 5 has a frequency of 1
Also, the range on the dot plot can be 0 to 7, because it covers the given dataset
Hence, the true statements are: (a), (b) and (c)
Read more about dot plots at:
