Answer:
8
Step-by-step explanation:
Substitute the given values into the expression
xy²
= × 4 × (- 2)²
= 2 × 4
= 8
Step-by-step explanation:
cot A + cot C
Write in terms of sine and cosine:
cos A / sin A + cos C / sin C
Common denominator:
(cos A sin C + cos C sin A) / (sin A sin C)
Angle sum formula:
sin(A+C) / (sin A sin C)
Angles of a triangle add up to π:
sin(π−B) / (sin A sin C)
Shift identity:
sin B / (sin A sin C)
Law of sines:
sin B / ((a sin B / b) × (c sin B / b))
sin B / (ac sin² B / b²)
b² / (ac sin B)
From law of cosine:
b² = a² + c² − 2ac cos B
b² = 2b² − 2ac cos B
b² = 2ac cos B
b² / (ac) = 2 cos B
Substituting:
2 cos B / sin B
2 cot B
The like terms in this expression would be the variables and the numbers without variables. This can be converted into:
And this is 
.
Y = 3(x - 1)^2 + 2
y = 3 (x^2 + 1) + 2
y = 3x^2 + 3 + 2
y = 3x^2 + 5
