Given a point (x, y), let's evaluate the transformations:
- Translation 6 units to the right.
Means moving the point 6 units in the horizontal direction; to the right.
The new point will be (x + 6, y).
- Translation 2 units down.
Means moving the point 2 units down; in the vertical direction.
The new point will be (x + 6, y - 2).
Answer: (x + 6, y - 2).
Answer:
Reduce the expression, if possible, by cancelling the common factors.[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 = 1
Step-by-step explanation:
4/9^3 x (2/3)^2 ÷ (2/3)^8
4/9^3 x 4/9 ÷ (2/3)^8
4/9^3 x 4/9 divided by 256/6561
64/729 x 4/9 divided by 256/6561
= 1
Let the time taken by Vince to complete the race was x hours.
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.
Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour
Distance = Speed x Time.
For Maury:
Distance = 16(x - 1.5)
For Vince:
Distance = 12x
Since the distance covered by both was the same, we can equate the two equations as:
16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6
This means Vince complete the race in 6 hours.
Distance = Speed x Time = 12 x 6 = 72 miles
Thus, the total distance of the race was 72 miles.
Divide 75 by 2:
75 / 2 = 37.5
Now you need the whole number below 37.5 and the whole number above 37.5:
37 + 38 = 75
The numbers are 37 and 38
Answer:
225
Step-by-step explanation:
3240k = 2×2×2×3×3×3×3×5×k
Every factor should be in groups of 3
(3×5)² = k
k = 225
