The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
The correct answer is x =24
Answer:
$150
Step-by-step explanation:
Annual Real Estate Tax Rate =1.8%
Value of Bonnie's House = $100,000
Annual Tax= 1.8 % × $100,000 =0.018 × $100,000 = $1,800
Therefore, tax payment on a monthly basis
= $1,800÷12 Months
= $150 per month.
Real estate tax will add $150 per month to Bonnie's mortgage payment.
The length of the tangent from point D to point B can be calculated by adding the length of BC to the length of BD.
We are given that:
BC = 2 units
CD = 2 units
Therefore:
BD = BC + CD
BD = 2 + 2
BD = 4 units
