Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
Answer:
![\huge\boxed{width=12cm}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bwidth%3D12cm%7D)
Step-by-step explanation:
![l-length\\w-width\\P-perimeter](https://tex.z-dn.net/?f=l-length%5C%5Cw-width%5C%5CP-perimeter)
The formula of perimeter of the rectangle:
![P=2l+2w=2(l+w)](https://tex.z-dn.net/?f=P%3D2l%2B2w%3D2%28l%2Bw%29)
Substitute:
![l=6w\\\\P=168cm](https://tex.z-dn.net/?f=l%3D6w%5C%5C%5C%5CP%3D168cm)
![168=2(6w+w)\\168=2(7w)\\168=14w\qquad|\text{divide both sides by 14}\\\\\dfrac{168}{14}=\dfrac{14w}{14}\\\\12=w\Rightarrow w=12(cm)](https://tex.z-dn.net/?f=168%3D2%286w%2Bw%29%5C%5C168%3D2%287w%29%5C%5C168%3D14w%5Cqquad%7C%5Ctext%7Bdivide%20both%20sides%20by%2014%7D%5C%5C%5C%5C%5Cdfrac%7B168%7D%7B14%7D%3D%5Cdfrac%7B14w%7D%7B14%7D%5C%5C%5C%5C12%3Dw%5CRightarrow%20w%3D12%28cm%29)
In trigonometry, to solve right triangles, we use sine, cosine, and tangent (their definitions, and the laws of sine and cosine) to help us fill in the blanks. Do you need more information (I'm rusty on law of sines and law of cosines, but pretty fresh on definitions and identities).
Answer:
2600 yd cubed
Step-by-step explanation:
13 times 20 is 260
260 times 10 is 2600
The answer to your equation is 88