question 1 is congruent. 2 is not congruent and 3 is congruent
This polynomial has 4 terms
Answer:
r = √13
Step-by-step explanation:
Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms: x^2 + 6x + y^2 -2y = 3. Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."
We need to "complete the square" of x^2 + 6x. I'll just jump in and do it: Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x: x^2 + 6x + 3^2 - 3^2. Then do the same for y^2 - 2y: y^2 - 2y + 1^2 - 1^2.
Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2. Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1. Making these replacements:
(x + 3)^2 - 9 + (y - 1)^2 -1 = 3. Move the constants -9 and -1 to the other side of the equation: (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13
Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r: r^2 = 13, so that the radius is r = √13.
The cell labelled a is a joint frequency of 48 and the cell labelled b is a marginal frequency of 93.
<h3>What is a frequency table?</h3>
The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.
The data is mentioned in the table given below:
We need to find the value of a and b.
Here, Cell Phone+No Cell Phone=Total
To find a:
Add the no lap entries, that is 159+a=207
⇒a=48
To find b:
Add the lap entries, that is 82+11=b.
⇒b=93.
Therefore, the cell labelled a is a joint frequency of 48 and the cell labelled b is a marginal frequency of 93.
To learn more about the frequency table visit:
brainly.com/question/12576014.
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