<span>The expression of the square root of 19x must be simplified when x is equal to 28. This is because possible factors of 28 can be seen to be 4 and 7, and 4 is a perfect square. This means it can be pulled outside of the square root when evaluated. The other options include only prime factors that could not be pulled out. (3,5), (3,7), (1,41)
28 simplifies as such:
Sqrt(19*28) = Sqrt(19*4*7) = 2*Sqrt(19*7) = 2*Sqrt(133).</span>
Answer:
8 units
Step-by-step explanation:
The longer leg extends upward from y = -3 to y = 5, so its length is 8 units.
Answer:
B.
Step-by-step explanation:
There are 5 total 6-packs of cola. 1 is cherry and the other is vanilla. 2 out of 5 are the flavors. This means you have a 2 in 5 chance of getting a cherry or vanilla cola.
The park is a total of 3+3 = 6 miles east of the mall, and 4+5=9 miles north of it. The Pythagorean theorem tells you the straight-line distance in miles is
√(6² +9²) = √117 ≈ 10.8
Answer:
16
Step-by-step explanation:
Simply plug in 2 for a, then 6 for b and substitute
(2+6)2
Then do order of operations to simplify PEMDAS
First what's inside the parenthesis
(8)2
Then multiply
16.