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
Answer:
The answer is the first one at the tap
Answer:
See below
Step-by-step explanation:
To graph the line we need two points, one point is the y-intercept, the second point to be calculated.
Q7
<u>y = -3x + 6</u>
- The y-intercept is (0, 6)
<u>Let the domain be x = 5 for the second point, then:</u>
- y = -3*5 + 6 = -15 + 6 = -9
- The point is (5, -9)
Connect these points to get the graph
Q8
<u>y = 4/5x - 3</u>
- The y-intercept is (0, -3)
<u>Let the domain be x = 5 for the second point, then:</u>
- y = 4/5*5 - 3 = 4 - 3 = 1
- The point is (5, 1)
Connect these two points to get the graph
Answer:
Step-by-step explanation:
The equation of a circle is given by:
Where (h, k) is the center and r is the radius.
The center of the circle is (1, -4).
And the radius is 3.
Substitute:
Simplify. Thus, our equation is:
