Which statement is true?
1 answer:
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Answer:
Center: ( -1 , 2 )
Radius: 6
Step-by-step explanation:
The equation for a circle is given as follow:
Where,
the Center is: ( h , k ) (note that the signs of the number are different)
and the radius is: r
So if we compare the original circle equation to the equation in the question we can see that:
the Center is: (-1,2)
and the radius is: = 6
2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:
first sub y=2 in the equation to find the values for x:
AND
AND
- The points are A(5,2) and B(-7,2)
second sub x= -1 in the equation to find the values for y:
AND
AND
- The points are D(-1,8) and E(-1,-4)
After finding the points write them in the graph and match them together to get the like the circle in the picture below:
Answer:
Step-by-step explanation:
The original expression given in the text is
(1)
And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:
(2)
Let's verify each of the other expressions separately. For the first one:
We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get
Which is equivalent to (1).
For the 2nd one:
This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.
If we write it explicitely in fact, we get
Which is different from (2).
For the 3rd one:
This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get: