Answer: D - 3 + 2√2 + √3
Solution: For the first question, we can just simply add up all of the terms to find the perimeter. Keep in mind that you cannot collect like terms for √3 and√2, since they are not alike. You have to keep them separate.
Hence, the only via solution is (D) 3 + 2√2 + √3
Answer: C - √10 + √13 = √23
Explanation: If we have two different terms inside the square root, we are not allowed to add them together; yes, you can multiply and divide, but not add or subtract.
For (A), if we square a number inside the root, we simply remove the square root sign, so that is correct.
For (B), we are allowed to multiply two square root numbers inside to form one unit.
For (D), we are allowed to divide two square root numbers inside to form one unit.
Answer:
Step-by-step explanation:
Distance Formula: 
Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:
Bananas Oranges and Plums are the most liked! So its between them too.
There are 45 green beads
<em><u>Solution:</u></em>
Let the number of red beads be "x"
Given that, Carrie has 3 times as many green beads as red beads
Number of green beads = 3 times number of red beads
Number of green beads = 3x
<em><u>She 2 as many blue beads as green beads</u></em>
Number of blue beads = 2 times the number of green beads
Number of blue beads = 2(3x) = 6x
<em><u>She has 150 total</u></em>
Therefore,
Number of red beads + Number of green beads + Number of blue beads = 150
x + 3x + 6x = 150
10x = 150
x = 15
Thus, number of green beads = 3x = 3(15) = 45
Thus there are 45 green beads
