1/2
Is the answer
To the problem
They can NOT. A right angle is 90°. An obtuse angle is greater than 90°. All the angles in a triangle must add up to exactly 180°. If two angles are greater than 90° then they will add up to greater than 180, beacuse 90 plus 90 equals 180. You cannot have a triangle with two obtuse angles because they will add up to greater than 180°.
The value of the composite function is (f/g)(5)= 26
<h3>How to evaluate the
composite function?</h3>
The functions are given as:
f(x) = x^2+1 and g(x) = x-4
To calculate the composite function, we use the following formula
(f/g)(x)= f(x)/g(x)
So, we have:
(f/g)(5)= f(5)/g(5)
Calculate f(5) and g(5)
f(5) = 5^2+1 and g(5) = 5-4
This gives
f(5) = 26 and g(5) = 1
Substitute f(5) = 26 and g(5) = 1 in (f/g)(5)= f(5)/g(5)
(f/g)(5)= 26/1
Evaluate
(f/g)(5)= 26
Hence, the value of the composite function is (f/g)(5)= 26
Read more about composite function at
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Answer:
Step-by-step explanation:
A difference of two perfect cubes, x^3 - y^3 can be factored into
(x-y) • (x^2 +xy +y^2) =0 equation 1
x ^3 - 64 = 0
(x)^3 - (4)^3 = 0 equation 2
Now substituting equation 2 into equation 1, we get
(x-4) (x^2+(x).(4) +(4)^2) = 0
(x-4) (x^2+4x+16) = 0
so the solutions are
1) x - 4 =0
x=4
x^2 + 4x + 16 = 0
By using the quadratic formula we get the followig solutions:
- B ± √ B2-4AC
x = ————————
2A
x =(-4-√-48)/2=-2-2i√ 3 = -2.0000-3.4641i
x =(-4+√-48)/2=-2+2i√ 3 = -2.0000+3.4641i
