You have a good day and good luck on that question
<span>Simplifying
(6a + -8b)(6a + 8b) = 0
Multiply (6a + -8b) * (6a + 8b)
(6a * (6a + 8b) + -8b * (6a + 8b)) = 0
((6a * 6a + 8b * 6a) + -8b * (6a + 8b)) = 0
Reorder the terms:
((48ab + 36a2) + -8b * (6a + 8b)) = 0
((48ab + 36a2) + -8b * (6a + 8b)) = 0
(48ab + 36a2 + (6a * -8b + 8b * -8b)) = 0
(48ab + 36a2 + (-48ab + -64b2)) = 0
Reorder the terms:
(48ab + -48ab + 36a2 + -64b2) = 0
Combine like terms: 48ab + -48ab = 0
(0 + 36a2 + -64b2) = 0
(36a2 + -64b2) = 0
Solving
36a2 + -64b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '64b2' to each side of the equation.
36a2 + -64b2 + 64b2 = 0 + 64b2
Combine like terms: -64b2 + 64b2 = 0
36a2 + 0 = 0 + 64b2
36a2 = 0 + 64b2
Remove the zero:
36a2 = 64b2
Divide each side by '36'.
a2 = 1.777777778b2
Simplifying
a2 = 1.777777778b2
Take the square root of each side:
a = {-1.333333333b, 1.333333333b}</span>
Answer:
x = 34
Step-by-step explanation:
-8 = dropped 8 degrees
26 = 26 degrees at midnight
x = temperature at 6
x - 8 = 26
(add 8 to both sides) x = 34
0.05 rounded to the nearest whole number is 0.
Hope this helps~
Answer:
18:12 (accurate)
3:2 (simplified)
Step-by-step explanation:
The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:
30 - 18 = 12
The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:
won:lost ⇒ 18:12
18:12 is the ratio.
If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:
(18)/6 : (12)/6
3:2
3:2 is your simplified ratio.
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