<span>A perpendicular to a given line from a point on the line is constructed in the given choices.</span>
Answer:
![area = 4 \times (2 {x}^{2} - x) \\ 8 {x}^{2} - 4x](https://tex.z-dn.net/?f=area%20%3D%204%20%5Ctimes%20%282%20%7Bx%7D%5E%7B2%7D%20%20-%20x%29%20%5C%5C%208%20%7Bx%7D%5E%7B2%7D%20%20-%204x)
![perimeter = 4 + 4 + 2 {x}^{2} - x + 2 {x}^{2} - x \\ 8 + 4 {x}^{2} - 2x](https://tex.z-dn.net/?f=perimeter%20%3D%204%20%2B%204%20%2B%202%20%7Bx%7D%5E%7B2%7D%20-%20x%20%2B%202%20%7Bx%7D%5E%7B2%7D%20%20%20-%20x%20%5C%5C%208%20%2B%204%20%7Bx%7D%5E%7B2%7D%20%20-%202x)
Step-by-step explanation:
hope this helps you.
Answer:
the answer is the first one
Answer:
f(4) = 3
x = -1
Step-by-step explanation:
Line graphed shows a linear function.
Since this line passes through two points (4, 3) and (-1, 4)
Let the function is,
f(x) = mx + b
where 'm' = slope of the line
b = y-intercept of the line
Slope 'm' = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
= ![\frac{4-3}{-1-4}](https://tex.z-dn.net/?f=%5Cfrac%7B4-3%7D%7B-1-4%7D)
= ![-\frac{1}{5}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B5%7D)
f(x) = ![-\frac{1}{5}x+b](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B5%7Dx%2Bb)
Since a point (4, 3) lies on the line,
f(4) = ![-\frac{1}{5}(4)+b](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B5%7D%284%29%2Bb)
3 = ![-\frac{4}{5}+b](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B5%7D%2Bb)
b = 3 + 0.8
b = 3.8
Therefore, f(x) = -0.2x + 3.8
For x = 4
f(4) = -0.2(4) + 3.8
= -0.8 + 3.8
= 3.0
For f(x) = 4
4 = -0.2x + 3.8
0.2x = 3.8 - 4
x = ![\frac{-0.2}{0.2}](https://tex.z-dn.net/?f=%5Cfrac%7B-0.2%7D%7B0.2%7D)
x = -1
Answer: 34,788967
Step-by-step explanation: