The square of a binomial expands as follows:
Expanding all the binomials, we have
Sum like terms:
Simplify terms appearing on both sides:
Move all terms involving k to the left and all numbers to the right:
Divide both sides by -20:
the <span>principal branch Im pretty sure
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Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
Given:
The equation of a quadratic function is:
To find:
The equation of the axis of symmetry for the given function.
Solution:
If a quadratic function is , then the equation of the axis of symmetry is:
...(i)
We have,
Here, . So, the equation of axis of symmetry by using (i), is
Therefore, the correct option is C.