<h3>I'll teach you how to factor 20x^2-45</h3>
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20x^2-45
Factor out the common term 5:
5(4x^2-9)
Factor 4x^2-9:
(2x+3)(2x-3)
5(2x+3)(2x-3)
Your Answer Is 5(2x+3)(2x-3)
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Answer:
6
Step-by-step explanation:
Use Pythagorean theorem:
a²+b²=c²
8²+a²=10²
64+a²=100
subtract 64 from 100
a²=36
√a=√36
a= 6
Step-by-step explanation:
b.
g(-3) = (-3)²+1 = 9+1 = 10
Answer:
Put 2.6 carrots in each bag.
Step-by-step explanation:
Just divide the carrots with 5.
13 carrots / 5 sandwhich bags
This then makes 2.6 carrots which is a perfect fit for each bag.
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
