y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
Answer:
x = 4
Step-by-step explanation:
Since the triangle is right, solve for x using Pythagoras' identity, that is
x² = 8² + 4² = 64 + 16 = 80
Take the square root of both sides
x =
=
=
×
= 4
← exact value