Answer: 16/81 (x-10)^2 -4
Step-by-step explanation:
To write a vertex equation with just a point and the vertex, you have to figure out the variables.
In vertex form, the equation is y = a (x-h)^2 + k
Your y is 12, x = 1, h = 10, and k = -4
Plug everything into equation
12 = a (1 - 10)^2 -4
12 = a (-9)^2 - 4
12 = 81a - 4
16 = 81a
16/81 = a
Now you know what the 'a' value is.
If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!
I hope this helps!
Answer:9/20
Step-by-step explanation: 45/100=9/20, 45÷5=9, 100÷5=20 both the denominater and the numerator are divisible by 5.
When two variables have an inverse relationship, the slope is negatively correlated.
Answer:






Step-by-step explanation:
Given
--- terminal side of 
Required
Determine the values of trigonometric functions of
.
For
, the trigonometry ratios are:


Where:


In 
and 
So:






<u>Solving the trigonometry functions</u>


Rationalize:






Rationalize















