Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± 
= ± 2
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = 
( take the square root of both sides )
x = ± 
= ± 
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± 
The falling distance of the glasses is 8 meters.
<h3>How to calculate the distance</h3>
From the information, the hotel’s balcony was 5 meters from the ground floor and he dropped his glasses to the bottom of the hotel’s pool that was 3 meters deep.
Therefore the falling distance will be:
= 5 - (-3)
= 5 + 3
= 8
The falling distance of the glasses is 8 meters
Learn more about distance on:
brainly.com/question/2854969
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<h3>
Answer: B. All real numbers</h3>
Work Shown:
2(3c+3) < 6c+9
6c+6 < 6c+9 .... distribute
6c+6-6c <6c+9-6c .... subtract 6c from both sides
6 < 9 ... note the c terms go away entirely
We're left with a statement that is always true since 6 is always less than 9 regardless of what value of c we pick. So there are infinitely many solutions. Any real number can replace c to get a true statement.
Answer:
16 questions right = 80%
So Peter missed 4 questions.
Hope this helps.
:-)
393/393 - 168/393 = 225/393
Simplify 225/393 by 3 because that is is the fractions GCF
75/131
