Answer: Add 9 to both sides to complete the square
Step-by-step explanation:
The formula for the number you need to add to complete the square is (b/2)^2. In this case, b = -6, so:
(b/2)^2 = (-6/2)^2 = (-3)^2 = 9.
(After adding 9 to both sides, you will get x^2 - 6x + 9 = 14 which can be factored to (x - 3)^2 = 14)
Answer:
x = 11
Step-by-step explanation:
6x - 21 = 3x + 12
6x - 3x = 21 + 12
3x = 33
x = 33/3
x = 11
If <a=90 or <b=90 or < c=90 the triangle is right
if one of the angles is > 90 the triangle is obtuse
if all the angles are < 90 the triangle is acute
First, calculate for the area of the base by the equation given,
A = 1/2aP
where A is area, a is apothem, and P is perimeter. Substituting the known values,
A = 1/2(x)(16") = 8x in²
Next, solve for the volume of the prism by the equation,
V = Bh = (8x in²)(10 in)
V = 80x in³
Thus, the volume of the prism is approximately 80x in³.
