Answer:
16 ft
Step-by-step explanation:
Each edge of wall = √256 ft = 16 ft
Answer:
i cant entirely see the image well, but the<u> y intercept</u> should be the line that passes through the line on the graph that goes <u>up and down</u>
<u>Step-by-step explanation:</u>
i hope this helps :))
Answer:
CD = 16.5
Step-by-step explanation:
To find the distance between two points, use this formula: ![L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }](https://tex.z-dn.net/?f=L%20%3D%20%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D%20-y_%7B1%7D%29%5E%7B2%7D%20%7D)
point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1
point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3
Substitute the information into the formula
![L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }](https://tex.z-dn.net/?f=L%20%3D%20%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D%20-y_%7B1%7D%29%5E%7B2%7D%20%7D)
Simplify inside each bracket
Square the numbers
Add inside the root
Enter into calculator
Rounded to the nearest tenth, the first decimal
The distance CD is 16.5.
Answer:
Step-by-step explanation:
Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is
![y = - 2 {x}^{2} - 8x - 5](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%20%7Bx%7D%5E%7B2%7D%20%20-%208x%20-%205)
This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:
![y = - 2( {x}^{2} + 4x) - 5](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%29%20-%205)
![y = - 2( {x}^{2} + 4x + 4) - 5 + - 4 \times - 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%2B%204%29%20-%205%20%2B%20%20-%204%20%5Ctimes%20%20-%202)
![y = - 2( {x} + 2)^{2} - 5 + 8](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%20%20%2B%202%29%5E%7B2%7D%20-%205%20%2B%208)
![y = - 2( {x} + 2)^{2} + 3](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%20%20%2B%202%29%5E%7B2%7D%20%20%2B%20%203)
The maximum value is 3
The function turns downward, hence the range is:
![y \leqslant 3](https://tex.z-dn.net/?f=y%20%5Cleqslant%203)