Answer:
three points gives triangle. two points gives a straight line.
Answer: Your correct answer is 5mph
Step-by-step explanation: PLz mark. Have a great day :)
Answer: C. y=1/3x+3
Step-by-step explanation:
The line hits the y axis at 3 so 3 is the y intercept and the line rises one accross 3 so 1/3 is your slope. Together its y=1/3x+3
Answer:
![\dfrac{288}{17}\ un^2.](https://tex.z-dn.net/?f=%5Cdfrac%7B288%7D%7B17%7D%5C%20un%5E2.)
Step-by-step explanation:
1. The line y=12-4x has the slope -4, then perpendicular line will have slope ![\dfrac{1}{4}.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D.)
The equation of this perpendicular line is
![y-0=\dfrac{1}{4}(x-0),\\ \\4y=x.](https://tex.z-dn.net/?f=y-0%3D%5Cdfrac%7B1%7D%7B4%7D%28x-0%29%2C%5C%5C%20%5C%5C4y%3Dx.)
2. The vertices of the triangle are at points:
A: x=0, y=0.
B: x=0, y=12.
C: ![\left\{\begin{array}{l}y=12-4x\\4y=x\end{array}\right.\Rightarrow y=12-16y,\ y=\dfrac{12}{17},\ x=\dfrac{48}{17}.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dy%3D12-4x%5C%5C4y%3Dx%5Cend%7Barray%7D%5Cright.%5CRightarrow%20y%3D12-16y%2C%5C%20y%3D%5Cdfrac%7B12%7D%7B17%7D%2C%5C%20x%3D%5Cdfrac%7B48%7D%7B17%7D.)
3. The height of the triangle ABC is x-coordinate of point C, so
the base of the triangle is the length of the segment AB, 12 cm.
4. The area of the triangle ABC is ![\dfrac{1}{2}\cdot 12\cdot \dfrac{48}{17}=\dfrac{288}{17}\ un^2.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%2012%5Ccdot%20%5Cdfrac%7B48%7D%7B17%7D%3D%5Cdfrac%7B288%7D%7B17%7D%5C%20un%5E2.)