linda creates a circle with a center at (5,7). She wants the center of the circle to be translated from (5,7) to (13,17) using the rule (x,y) to (a,b). Which expressions represents a and b?
(x,y) → (x+8,y+10)
To find the translation from (5,7) to (13,17) using the rule (x,y) to (a,b), we need to determine the change in the x-coordinate and the change in the y-coordinate.
The change in the x-coordinate can be found by subtracting the x-coordinate of the center before translation from the x-coordinate of the center after translation:
a = x-coordinate after translation - x-coordinate before translation
= 13 - 5
= 8
Similarly, the change in the y-coordinate can be found by subtracting the y-coordinate of the center before translation from the y-coordinate of the center after translation:
b = y-coordinate after translation - y-coordinate before translation
= 17 - 7
= 10
Therefore, the expressions for a and b are:
a = 8
b = 10
To translate the center of the circle from (5, 7) to (13, 17) using the rule (x, y) to (a, b), we need to find the expressions that represent the new coordinates (a, b).
To find the new x-coordinate (a), we add the x-coordinate of the translation amount to the original x-coordinate: a = x + translation amount.
In this case, the original x-coordinate is 5 and the x-coordinate of the translation amount is 13, so we have:
a = 5 + 13
To find the new y-coordinate (b), we add the y-coordinate of the translation amount to the original y-coordinate: b = y + translation amount.
In this case, the original y-coordinate is 7 and the y-coordinate of the translation amount is 17, so we have:
b = 7 + 17
Therefore, the expressions for a and b are:
a = 5 + 13 = 18
b = 7 + 17 = 24
So, the expressions for a and b are a = 18 and b = 24.