Keep these rules in mind:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- (a + b)(a - b) = a² - b²
Firstly, solve the exponent and multiplication:
Next, combine like terms:
Next, subtract 4x² on both sides:
Next, subtract 25 on both sides:
Lastly, divide both sides by -20.5. And since you are dividing by a <u>negative</u>, flip the inequality sign:
<u>Your answer is x > 2.</u>
Did you notice the little box with corners marked in the angle down at the bottom ?
That angle is a right angle, and <em>this triangle is a right triangle</em> !
This piece of information is a big help. It breaks the problem wide open.
You know that in order to find the longest side of a right triangle . . .
-- Square the length of one short side.
-- Square the length of the other short side.
-- Add the two squares together.
-- Take the square root of the sum.
One short side=48. Its square = 2,304.
The other short side=48. Its square = 2,304.
Add the two squares: 2,304 + 2,304 = 4,608
The square root of the sum = √4,608 = <em><u>67.88</u></em> (rounded)
4v/27 = 16
You have to get rid of the 27 in the denominator, do so by multiplying both sides by the 27.
Now you have:
4v = 432
Next you need to get rid of the 4 by dividing both sides by 4
Your answer is now:
v = 108
Answer:
89
Step-by-step explanation:
it equals 180-91
or 89
