Answer:
Given the statement: if y =3x+6.
Find the minimum value of
Let f(x) =
Substitute the value of y ;
Distribute the terms;
The derivative value of f(x) with respect to x.
Using
we have;
Set
then;
By zero product property;
and 2x + 3 = 0
⇒ x=0 and x =
then;
at x = 0
f(0) = 0
and
x = -1.5
Hence the minimum value of is, -5.0625
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC =
=
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base =
=
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
