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Answer:
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward
The vertex represent a maximum
Convert the quadratic equation into vertex form
step 1
Factor -2
step 2
Complete the square
step 3
Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (1,5)
The comparison of the lengths of the sides based on the angles are given
by sine rule.
The lengths of the sides from greatest to least are;
- <u>BC > AC > AB</u>
Reasons:
The given parameters are;
∠A = 78°, ∠B = 56°, ∠C = 46°
By sine rule, we have;
Given that, sin(46°) ≈ 0.719, sin(56°) ≈ 0.829, sin(78°) ≈ 0.978, we have;
sin(78°) > sin(56°) > sin(46°)
Therefore, applying equal proportions of similar ratios, we have;
<u>BC > AC > AB</u>
Learn more about sine rule here: