Answer:
not similar
Step-by-step explanation:
32/26 = 16/13
18/12 = 3/2
16/13 is not equal to 3/2, so the rectangles are not similar.
a1 = 54
a2 = (1/3)a1 = (1/3) * 54 = 18
a3 = (1/3)a2 = (1/3) * (1/3)a1 = 18/3 = 6
etc.
Answer:
-5z -13 is answer
Step-by-step explanation:
=15+−5z+−3+−25
Combine Like Terms:
=15+−5z+−3+−25
=(−5z)+(15+−3+−25)
=−5z+−13
bye
Since both fractions have the same denominator, to find the greater one all you have to do is see which one has a bigger numerator
42>36
the answer is 42/126 is greater
Note the binomial expansion,
(<em>a</em> + 1/<em>a</em>)³ = <em>a</em> ³ + 3<em>a</em> + 3/<em>a</em> + 1/<em>a</em> ³
so
<em>a</em> ³ + 1/<em>a</em> ³ = (<em>a</em> + 1/<em>a</em>)³ - 3 (<em>a</em> + 1/<em>a</em>)
Similarly,
(<em>a</em> + 1/<em>a</em>)² = <em>a</em> ² + 2 + 1/<em>a</em> ²
We're given <em>a</em> ² + 1/<em>a</em> ² = 79, so
(<em>a</em> + 1/<em>a</em>)² - 2 = 79
(<em>a</em> + 1/<em>a</em>)² = 81
<em>a</em> + 1/<em>a</em> = ±9
but <em>a</em> > 0, so we ignore the negative solution.
Then
<em>a</em> ³ + 1/<em>a</em> ³ = 9³ - 3×9 = 702
