1.
the line of symmetry is x=2, means that the x coordinate of the vertex is x=2.
the point x=2 is the midpoint of the roots
and
.
so
Remark: in the x-axis, if c is the midpoint of a and b, then
2.
since
and
are roots
and
3.
equalizing:
in the left side factorize a, in the left side factorize 8:
in the right side use the difference of squares formula:
simplify by
substitute
with 4:
a=2
Answer: C)2
Area=height times base (for some prisms including cylinders)
vcylinder=hpir²
h=height
therefor pir²=base area
vcylinder=height times aeraofbase
given
h=9
v=324pi
324pi=9(basearea)
divide both sides by 9
36pi=areabase
the area of the base is 36pi square cm (put 36 in the blank since the pi is already there)
Answer:
Step-by-step explanation:
10 - 4 2/3
First, we convert mixed fraction into improper fraction.
4 2/3 = ((4*3)+2)/3 = 14/3
In subtracting fractions:
1) Both must have the same denominator.
10 is 10/1 and 14/3 have different denominators.
2) Once they have the same denominator, then subtraction may be performed.
10 - 14/3 = 10 * 3/3 - 14/3 = 30/3 - 14/3 = 16/3
3) 16/3 must be simplified.
16/3 = 5 1/3
10 - 4 2/3 = 5 1/3