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Dana wants to find the sum
3 4 6
4 2 1
+1 5 2
________
We will not regroup this ones place because the sum of the digits in the ones place is not up to. It's just 6+1+2 = 9.
Therefore, 13a) No.
There is no regrouped tens to add, so we would not able to regroup the ones place.
Therefore, 13b) No.
We regroup the tens place because the sum of the digits in the ones place is upto to 10.
And 13c) Yes.
We add the regrouped hundred as we regrouped the ones place.
Therefore,
13 D) Yes.
An equation of the circle that will pass through the four (4) vertices of the square is (x + 2)² + y² = 2².
<h3>How to find the equation of this circle?</h3>Mathematically, the general form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
- h and k represents the coordinates at the center.
- r is the radius of a circle.
<u>Note:</u> The center of a circle lies on the midpoint of the diagonal of a square, which is formed by joining its endpoints (opposite).
Midpoint on x-coordinate is given by:
Midpoint = (-2 - 2)/2
Midpoint = -4/2 = -2.
Midpoint on y-coordinate is given by:
Midpoint = (-2 + 2)/2
Midpoint = 0/2 = 0.
Thus, the center (h, k) = (-2, 0).
For the radius, we have:
r = √(-2)² + 0²
r = √4 = 2.
Substituting the parameters into the general equation, we have;
(x - (-2))² + (y - 0)² = 2²
(x + 2)² + y² = 2²
Read more on circle here: brainly.com/question/1615837
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