-9-16 = 0-9-16 = 0-25 = -25
triangle:
a plane figure with three straight sides and three angles.
rectangle:
a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
circle:
round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).
cylinder:
solid geometrical figure with straight parallel sides and a circular or oval cross section.
cone:
surface or solid figure generated by the straight lines which pass from a circle or other closed curve to a single point (the vertex) not in the same plane as the curve.
Answer:
7 pieces of homework
Step-by-step explanation:
This is an algebra problem. We first need to set up our algebra equation and we are going to find X (The amount of homework Richard submitted)
The algebra equation would be
X+X+2=12
*Combine like terms*
2X+2=12
Subtract 2 to both sides
2X=10
X=5
That means that Richard did 5 pieces of homework. We are not done yet because we want to find the amount of homework Isaac did. Earlier in the problem, it said that Issac did 2 more pieces of homework than Richard. Take Richard's number, 5 and add to 2 to it to get 7 pieces of homework.
Answer:
1/2
Step-by-step explanation:
Given the expression:
-x^2+18x-99
to solve by completing squares we proceed as follows:
-x^2+18x-99=0
this can be written as:
-x^2+18x=99
x^2-18x=-99.......i
but
c=(-b/2)²
Hence:
c=(-(-18)/2)²=81
adding 81 in both sides of i we get:
x^2-18x+81=-99+81
factorizing the quadratic we obtain:
(x-9)(x-9)=-18
thus
(x-9)²+18=0
the above takes the vertex form of :
y=(x-k)²+h
where (k,x) is the vertex:
the vertex of our expression is:
(9,18)
hence the maximum point is at (9,18)
NOTE: The vertex gives the maximum point because, from the expression we see that the coefficient of the term that has the highest degree is a negative, and since our polynomial is a quadratic expression then our graph will face down, and this will make the vertex the maximum point.
