When radicals (square roots) include variables, they are still simplified the same way. We just have to work with variables as well as numbers
1) Factor the radicand (the numbers/variables inside the square root). Factor the number into its prime factors and expand the variable(s).
2) Bring any factor listed twice in the radicand to the outside
Formula: sqr((x2-x1)^2 + (y2-y1)^2)
sqr((-4-2)^2 + (-7+2)^2)
sqr(-6)^2 + (-5)^2)
sqr(36)+(25)) = sqr(61)
The answer is A. sqr(61)
So first remember the order of operations. Parentheses, exponents, multiply, divide, addition, subtraction.
So we have the following problem.
-(3*2)2+4*3-2
Multiply the three and two inside the parentheses first.
-6*2+4*3-2
Next multiply any numbers that need multiplied.
-12+12-2
Next add and subtract from left to right to get an answer of...
-2
Hope this helps!
Answer: 94.5
Step-by-step explanation:
If average of 9 students is 94, their total will be 94x 9 = 846
If the 10th student scores 99, the new total is 846 + 99 = 945
So, the new average will be
945/10 = 94.5
