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:
A. <u><em>X = 15</em></u> is the correct answer.
Step-by-step explanation:
It's the only one that really makes sense.
Hope this helped :)
Answer:
See attachment for graph
<em></em>
Step-by-step explanation:
Given
Required
Graph the relationship between both parameters
First, calculate the area;
This implies that: (2, 120) i.e. 2 cans for 120ft^2.
So we have:
(0,0) and (2,120)
(0,0) implies that: 0 cans for 0 square feet
Calculate the slope:
The equation is:
So, we have:
<em>See attachment for graph</em>
<h3>
Answer:</h3>
D) 4 cm, 3 cm
<h3>
Step-by-step explanation:</h3>
Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).
The perimeter of the kite is the sum of two sides of each length:
... P = 14 cm = 2(x) + 2(2x -5 cm)
Dividing by 2 and collecting terms, we have ...
... 7 cm = 3x -5 cm
... 12 cm = 3x
... 4 cm = x . . . . the length of "another" side
... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"
The two different side lengths are 4 cm and 3 cm.
