3a -8a + Z = -8+8
-5a = -Z
5a = Z
The quadratic function given to us is:
We are asked to find the vertex form of the function.
The general formula for the vertex form of a quadratic equation is:
In order to write the function in its vertex form, we need to perform a couple of operations on the function.
1. Add and subtract the square of the half of the coefficient of x to the function.
2. Factor out the function with its repeated roots and re-write the equation.
Now, let us solve.
1. Add and subtract the square of the half of the coefficient of x to the function.
2. Factor out the function with its repeated roots and re-write the equation.
Therefore, we can conclude that the Equation and vertex of the equation is:
Answer:
51 cm^2
Step-by-step explanation:
13.5/9 = 1.5
so DEF is 1.5 times bigger than ABC
so 34 x 1.5 = 51
Answer:
69
Step-by-step explanation:
Perimeter = sum of all sides of a regular polygon = the number of sides*length of a side
Length of a side of the given regular hexagon = 3x + 5
Perimeter of hexagon = 6(3x + 5) = 6(3x) + 6(5) = 18x + 30
Length of a side of the given regular pentagon = 4x - 1
Perimeter of pentagon = 5(4x - 1) = 5(4x) - 5(1) = 20x - 5
Since we are told that the perimeter of the regular hexagon is the same as that of the regular pentagon, therefore:
18x + 30 = 20x - 5
Solve for x.
Subtract 20x from both sides
18x + 30 - 20x = 20x - 5 - 20x
-2x + 30 = -5
Subtract 30 from both sides
-2x+ 30 - 30 = -5 - 30
-2x = -35
Divide both sides by -2
x = -35/-2
x = 17.5
Length of a side of pentagon = 4x - 1
Plug in the value of x
4(17.5) - 1 = 70 - 1 = 69
length of a side of the pentagon = 69