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:
10
Step-by-step explanation:
The area of the rectangle is 100cm, so if the area of the square is the same as the rectangle, then the side of the square would be 10. 10 x 10 is 100.
(I'm sorry if my explanation sucks)
So first you have to understand what consecutive numbers are.
Consecutive numbers are numbers like 4, 6, 8, 10, or 16, 18, 20.
So let's set up an equation, using x as the first consecutive number.
x + x + 2 + x + 4 = 102
Then simplify:
3x + 6 = 102
Subtract 6 from both sides.
3x = 96
Divide 3 on both sides:
x = 32
So the first number is 32, which means the other 2 numbers are 34, and 36.
To check our answer, let's put the numbers in the equation.
32 + 32 + 2 + 32 + 4 = 102
Yep! That's correct.
The answer is 32, 34, and 36.
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
Answer:
1.79
Step-by-step explanation:
the way you wrote the question is questionable
