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:
p=3 q=0
Step-by-step explanation:
p+2q=3
p-2q=3
p+2q=3
p=3-2q---------eqn i
p-2q=3
3-2q-2q=3
3-4q=3
-4q=3-3
q=0÷-4
q=0
putting the value of q in equation i
p=3-2q
=3-2×0
=3
You’re not able to solve that
Answer:
31
Step-by-step explanation:
Here the trick is to perform the indicated operations in the correct order. Anything inside parentheses must be done first, followed by any multiplication or division, followed by any addition or subtraction.
Doing the work inside parentheses first:
(3 × 22) ÷ 6 + [28 – (4)2] => (66) ÷ 6 + [28 - 8], or
(66) ÷ 6 + [28 - 8] => 11 + [20], or 31
Im pretty sure it would be ordered: -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|
This is because
-1/2 stays as -1/2
the absolute value of |-2| is 2
the absolute value of |1/2| is 1/2
the absolute value of |-2 1/2| is 2 1/2
-2 1/2 stays as -2 1/2
and 1 1/2 stays the same as well.
If you take all these numbers (-1/2, 2, 1/2, 2 1/2, -2 1/2, and 1 1/2) and order them from least to greatest, you would get:
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2
which is -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|
Im not exactly sure if it is all correct, but i hope this helps! :)
