She does not have to bike any further as she has met her goal, yet if she wants she can continue
2x(x - 8) -5(x - 8)
= (x - 8)(2x - 5)
Answer:
= 1679616 nickels
Step-by-step explanation:
Since it wants the value of the 8th bracelet, you have to keep multiplying the value 8 times. A simpler way to put this is 6 to the 8th power. Simplifying this will give you 1679616 nickels.
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 middle one is the answer.
The -1 moves the graph down by one unit.
if it was |x-1| that would move it one unit right.