Answer:
Options (1) and (5) are the correct options.
Step-by-step explanation:
See attachment for the complete question.
Simon's work,
Area of the base = B ==32.5 m²
Volume = Bh = 32.5(12) = 390 m³
Let's check the error's he made.
Area of the base of the triangular prism
B =
B = 30 m²
Volume of the prism = (Area of the triangular base)×(Height)
V = 30 × 4
V = 120 m³
Therefore, Options (1) and (5) are the correct options.
Answer:
x=3
Step-by-step explanation:
Set equations equal to each other:
Subtract two from both sides
Factor out x^2 from the left side
Factor the right side, look for two factors of 9, which add to -6, which is just -3 and-3
So as you can see here, we have both sides in factored form, and both have a factor of (x-3) on both sides, and if one of the factors is zero, then the entire thing becomes zero, since 0 * anything= zero.
this means a solution would be at x=3, since it makes the right side 0 * 0 = 0, and the left side (3)^2 * 0 = 0
It's important to notice this, since had we divided by x-3 to make the equation a quadratic, we would've excluded this real solution, because when dividing by x-3 the solution x=3 makes it 0, so we would've been dividing by zero.
So one of the real solutions is at x=3
