An ant looks up to the top of a tree at an angle of elevation of 40 degrees. If the ant is 30 feet from the base of the tree, wh
2 answers:
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Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16 = ( 4
)² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16 - 1
= (4 )² - 1²
= (4 - 1)(4
+ 1)
4 - 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16 - 1
= (2x² - 1)(2x² + 1)(4 + 1 )
Answer:
4√3
Step-by-step explanation:
The distance formula applies. It tells you ...
distance = √((x2 -x1)² +(y2 -y1)²)
Filling in the given values, you have ...
distance = √((-√32 -(-4√2))² +(2√3 -(-√12))²)
= √((-4√2+4√2)² +(2√3 +2√3)²)
= √(0 + (4√3)²)
distance = 4√3
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We make use of the fact that ...