If f(x) = 4x2 – 6 and g(x) = x2 – 4x – 8, find (f – g)(x)
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Answer:
27 small cubes
Step-by-step explanation:
Given that,
The volume of the large cube is
The volume of small cube is
We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :
So, there are 27 small cubes that make up of the large cube.
The value of x is 120°
Explanation:
It is given that ABC is a straight line.
Also, ∠CBE = 20° and ∠CAF = 40°
We need to determine the value of ∠DBE
Let ∠DBE = x
Since, ∠CAF and ∠ABD are alternate interior angles.
By the alternate interior angles theorem, "if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal".
Thus, ∠CAF and ∠ABD are equal.
Hence, ∠CAF = ∠ABD = 40°
Since, we know that, the angles in a straight line add up to 180°, we have,
∠ABD + ∠DBE + ∠CBE = 180°
Substituting the values, we get,
40° + x + 20° = 180°
Adding, we have,
60° + x = 180°
Subtracting both sides by 60, we have,
x = 120°
Thus, the value of x is 120°
