The zeroes of a quadratic equation are the points on the graph where it lies on the x-axis.
The vertex is the point where it is the maximum or minimum value of x or y depending on the symmetry.
The symmetry is the line where it cuts the graph through the vertex of the graph dividing it into two equal parts that mirror each other.
The quadratic formula, factoring, and completing the square are the methods used to solve a quadratic equation.
f(x) + 7 shifts the graph 7 units up, f(x +7) shifts the graph 7 units to the left
Part A:
Let the width of the rectangle be = x inches
As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches
Perimeter is given as = 54 inches
Perimeter = 
Equation becomes:
=54

Part B:
Solving the equation we get




Hence, the width of the rectangle is 12 inches
Length = x+3 = 12+3 = 15 inches
Hence, length of the rectangle is 15 inches.
-6/5 -35/4 -23/6 = -(72/60 +525/60 +230/60)
= -827/60 . . . . . as an improper fraction
= -13 47/60 . . . . as a mixed number
Answer:
243.01.
Step-by-step explanation:
The first term (a) = 324.
The common ratio (r) = -108/324 = -1/3.
So sum of 9 terms is:
S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)
= 324 ( 1 - (-0.00005076)) / 4/3
= 324 * 1.00005076 / 1.33333
= 243.012.