9514 1404 393
Answer:
(x +3)² +(y -4)² = 145
Step-by-step explanation:
The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...
A = (P +Q)/2
A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2
A = (-3, 4)
The equation of the circle for some radius r is ...
(x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle
The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...
(6 +3)² +(12 -4)² = r² = 9² +8²
r² = 81 +64 = 145
Then the equation of the circle is ...
(x +3)² +(y -4)² = 145
The answer is 34, just plug the numbers in
<h2><u>Solution (1)</u> :</h2>
Given, to find A we have to :
- square m
- Add y to m²
- Subtract 7 from m² + y
From the question, the following equation can be formed :
Therefore, the formula for finding A = m² + y - 7
<h2><u>Solution (2)</u> :</h2>
The value of A we can derive from the formula is :
Value of m = 3 (given)
Which means :
Thus, the value of A = 2+y
Therefore, the value of A = <u>2+y</u>
Answer:
7/10 and 7/8 are both less than 1.
Step-by-step explanation:
The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.
