Answer:
a. 
.
b. The axis of symmetry for 
is 
.
Step-by-step explanation:
a. The vertex form of a quadratic is given by 
, where (h, k) is the vertex.
To convert from 
form to vertex form you use the process of completing the square.
Step 1: Write 
in the form 
. Add and subtract 4:
Step 2: Complete the square 
b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
For a quadratic function in standard form, , the axis of symmetry is 
.
The axis of symmetry for is .
Look at the graph shown below.
There are 2,000 pounds in each ton, so to convert it to pounds, 8 ton * 2 = 16,000 pounds. Meaning that they are EQUAL.
X=2
You have to first distribute the two and then you have to move the variable to one side of the equation and the number to the other. The work is attached below
Answer:
£231.85
Step-by-step explanation:
→ Work out the decimal multiplier
( 3 + 100 ) ÷ 100 = 1.03
→ Multiply the initial investment by the multiplier raised to the power of years
200 × ( 1.03 )⁵ = £231.85
Answer:
10.4feet
Step-by-step explanation:
The set up wil form a right triangle
Length of the ramp is the hypotenuse
The length of the end of the ramp from the base= 10 feet (adjacent)
Angle of elevation = 15 degrees
Required
Length of the ramp
Using SOH CAH TOA
Cos theta = adj/hyp
cos 15 = 10/L
L = 10/cos15
L = 10/0.9659
L = 10.35
L ≈ 10.4 feet
Hence the length of the ramp is 10.4feet
