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:
0.756
Step-by-step explanation:
It is given that a machine has four components, A, B, C, and D.
If these components set up in such a manner that all four parts must work for the machine to work properly.
We need to find the probability that the machine works properly. It means we have to find the value of 
.
If two events X and Y are independent, then
Assume the probability of one part working does not depend on the functionality of any of the other parts.
Substitute the given values.
Therefore, the probability that the machine works properly is 0.756.
Option 2 => 6.4^2
Because area of a square = side *side or side^2
Hope this helps u..!!!
X=2 is the answer to your question
Let Joy be x years old
<span>Joy's brother's age is 3 years older than twice joy's age.
</span>Joy's Brother = 2x + 3
<span>The sum of Joy's age and her brother's age is 24.
x + 2x + 3 = 24
3x + 3 = 24
3x = 24 - 3
3x = 21
x = 21 </span>÷ 3
x = 7
Joy:
x = 7
Brother:
2x + 3 = 2(7) + 3 = 17
Difference in their age = 17 - 7 = 10 years
They are 10 years apart.
