<span>Given
Situation : Jenn used 18 connecting cubes to make a model.
Jenn wants her model to be a rectangle shaped and have the height of 1 cube.
Now, We need to find the numbers of ways will Jenn use her model.
=> First we need to find the factors of 18
=> 18 x 1 equals to 18
=> 9 x 2 equals to 18
=> 6 x 3 equals to 18
As we can see, 18 has 3 possible ways. Therefore, Jenn will have 3 ways to
model her triangle depending on the choice she wants.
</span>
Solve the second equation for
, then substitute it into the first equation.
![y = t + 2 \implies t = y-2](https://tex.z-dn.net/?f=y%20%3D%20t%20%2B%202%20%5Cimplies%20t%20%3D%20y-2)
![x = t^2 - 3 \implies \boxed{x = (y-2)^2 - 3}](https://tex.z-dn.net/?f=x%20%3D%20t%5E2%20-%203%20%5Cimplies%20%5Cboxed%7Bx%20%3D%20%28y-2%29%5E2%20-%203%7D)
You can type in the desmos it shows and there can copy I know the work but I can’t attack it no button and pls Mark me Brainly I help u pls
Answer: ![c=\frac{49}{4}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B49%7D%7B4%7D)
Step-by-step explanation:
You can find the value of "c" that will make it a perfect square trinomial by Completing the square.
Given the following expression provided in the exercise:
![x^2 - 7x + c](https://tex.z-dn.net/?f=x%5E2%20-%207x%20%2B%20c)
You can notice that it is written in this form:
![ax^2-bx+c](https://tex.z-dn.net/?f=ax%5E2-bx%2Bc)
Then, you can identify that the coefficient "b" is:
![b=-7](https://tex.z-dn.net/?f=b%3D-7)
Since to complete the square you must add and subtract the half of square of coefficient "b", you can conclude that:
![c=(\frac{b}{2})^2](https://tex.z-dn.net/?f=c%3D%28%5Cfrac%7Bb%7D%7B2%7D%29%5E2)
Therefore, substituting "b" into
, you get:
![c=(\frac{-7}{2})^2\\\\c=\frac{49}{4}](https://tex.z-dn.net/?f=c%3D%28%5Cfrac%7B-7%7D%7B2%7D%29%5E2%5C%5C%5C%5Cc%3D%5Cfrac%7B49%7D%7B4%7D)