Y = -1 is a horizontal line going through "-1" on the y axis
Note that the point (1,2) is exactly 3 units of distance above the line y = -1
When we reflect across this line, the point (1,2) will just move straight down to exactly 3 units of space below the line y = -1. Since we are not shifting left or right, the x coordinate of our original point will not change. The y coordinate of our original point will now need to be reduced by 6(3 units down to get to the line of reflection and then 3 more down to get to the image location)
The coordinates of the image point will be (1, -4)
Now we need to do the same process with (1, -4) being reflected across y=1
Note (1,-4) is 5 units of distance below the line y = 1 , so we need to reflect the point upward so that the image point is located exactly 5 units of distance above the line y = 1 Again, the x coordinate does not change, and our final image coordinates are (1, 6)
I guess more simply stated, if you're just looking for the number in the green box it would be " 1 " .. Reflecting points across horizontal lines only result in changes of the "y" coordinate since there is no shift left or right.
Answer:
= a⁸/b⁻¹⁰
Step-by-step explanation:
Simplify the expression
(a^2b^-3/a^-2b^2)^2
= a⁴b⁻⁶/a⁻⁴b⁴
Using the law of indices
= a⁴⁻⁽⁻⁴⁾/b⁻⁶⁻⁴
= a⁴⁺⁴/b⁻¹⁰
= a⁸/b⁻¹⁰
Answer:
200 + (10 y)
Step-by-step explanation:
martin 200 * 5 and divide by 100 =10 per year interest 240 =M
cary 200 + 10=210 =C
200 + (10 y)
Answer:
415 were vanilla
Step-by-step explanation:
To solve we must first turn the percentage into a number and multiply that by the sum of 500.
83% = .83
.83 x 500 = 415
There are 8! ways to arrange the 8 letters. Due to the repeated L (3×) and A (2×), only one out of (2!)(3!) = 12 of these is unique.
The number of unique arrangements is 8!/(2!*3!) = 3,360
