The answer is A !!!!!
Since it’s “0.75c” the situation has to be changeable
Answer:
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
![y=a(x-h)^{2}+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E%7B2%7D%2Bk)
where
(h,k) is the vertex of the parabola
if a> 0 then the parabola open upward (vertex is a minimum)
if a< 0 then the parabola open downward (vertex is a maximum)
In this problem we have
![y=x^{2}+8x-21](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D%2B8x-21)
Convert to vertex form
Complete the square
![y+21=x^{2}+8x](https://tex.z-dn.net/?f=y%2B21%3Dx%5E%7B2%7D%2B8x)
![y+21+16=(x^{2}+8x+16)](https://tex.z-dn.net/?f=y%2B21%2B16%3D%28x%5E%7B2%7D%2B8x%2B16%29)
![y+37=(x^{2}+8x+16)](https://tex.z-dn.net/?f=y%2B37%3D%28x%5E%7B2%7D%2B8x%2B16%29)
![y+37=(x+4)^{2}](https://tex.z-dn.net/?f=y%2B37%3D%28x%2B4%29%5E%7B2%7D)
--------> equation in vertex form
The vertex is the point ![(-4,-37)](https://tex.z-dn.net/?f=%28-4%2C-37%29)
the parabola open upward (vertex is a minimum)
Answer:
kamal needs to buy 84 in of wire.
Step-by-step explanation:
multiply the length value by 12:
if he wants 7 feet, and the store only sells it in inches, then we know what a foot is twelve inches so 12x7=84.
hope this helped! :D <3
The area of the given trapezoid will be the sum of the areas of the triangular part and the rectangular part.
Now, the area of the rectangle,
is:
squared yards
Likewise, the area,
of the triangle will be:
![A_2=\frac{1}{2}\times base\times height=\frac{1}{2}\times 5\times 1.5=3.75 yd^2](https://tex.z-dn.net/?f=%20A_2%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%205%5Ctimes%201.5%3D3.75%20yd%5E2%20%20%20)
Thus, the area of the trapezoid=![A_1+A_2=3+3.75=6.75 yd^2](https://tex.z-dn.net/?f=%20A_1%2BA_2%3D3%2B3.75%3D6.75%20yd%5E2%20)
Thus the first option is the correct option.