Answer:
6; 9; 12
Step-by-step explanation:
It's possible because they cut cakes into different no. of slices
Luke: 2/3 of the cake are 4 slices
Entire cake 4/(2/3) = 4×3/2 = 6 slices
Kira: 2/3 of the cake are 6 slices
Entire cake 6/(2/3) = 6×3/2 = 9 slices
Ali: 2/3 of the cake are 8 slices
Entire cake 8/(2/3) = 8×3/2 = 12 slices
First would be the red kite then the purple,green,yellow, and lastly the blue kite.
Answer:
11) A
12) B
Step-by-step explanation:
11) 10x² + 1 = 0
Subtract 1 from both sides:
10x² = -1
Divide both sides by 10:
x² = -1/10
Take the square root of both sides:
x = ±√(-1) / √(10)
Remember that the square root of -1 is i:
x = ±i / √(10)
To rationalize the denominator, multiply top and bottom by √10.
x = ±i√(10) / 10
Answer is A.
12) 2v² + 8v + 6 = 0
Divide both sides by 2:
v² + 4v + 3 = 0
Use AC method or quadratic formula to factor:
(v + 1) (v + 3) = 0
Set each expression to 0:
v + 1 = 0 or v + 3 = 0
Solve:
v = -1 or v = -3
Answer is B.
Answer:
2/13
Step-by-step explanation:
There are 6 + 4 + 3 = 13 balls all together.
If the first one is green, this will happen with a probability of 4/13. Now there are 12 balls left
There are 6 red balls. 6/12 = 1/2
The probability of the way this happens is 1/2 * 4/13 = 2/13
If a shape is translated (has it's vertex' coordinates moved/changed), then it retains its original values but just has different vertex coordinates.
Thus since DE is equal to UV, then,
DE = UV; substitution:
5=5
