Answer:
The line passes through (4, -7) and (5, -10).
Step-by-step explanation:
When x = 4, y = 5 - 3(4), or 5 - 12, or -7. Thus the point (4, -7) lies on the graph. Similarly y = 5 - 3(5) = -10 when x = 5. Thus, the line also goes through (5, -10). Plot these two points and draw a line through them. Doing this will result in the desired graph.
Step-by-step explanation:
1. If you are trying to find a linear equation from those two points, use the equation y2-y1 over x2-x1. y2-y1 just means the second point's y coordinate minus the first point's y coordinate (same goes for x2-x1).
2. So if you were to plug the coordinates into the equation, it would be: -8-8 over 8-(-1).
3. Solve to get -16/9 because -8-8=-16 and 8-(-1)=9, so -16/9. -16/9 is the slope of the line in the y=mx +b equation.
4. It would be written like y=-16/9x +b
5. Now we need to find b which is the y-intercept. To find this pick one of the points (we'll just do (-1,8)), and plug in the x and y coordinates and solve for b.
- 8=-16/9(-1) +b
- multiply -16/9 by -1 which is 16/9
- subtract from both sides for it to be 8-16/9 on the left side which is 6 2/9, and that is b
6. The complete equation is now y=-16/9x + 6 2/9
Answer:
421/6 degrees
Step-by-step explanation:
The acute angles of a right triangle are complementary, so
![10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}](https://tex.z-dn.net/?f=10x%2B6%2B2x%2B7%3D90%20%5C%5C%20%5C%5C%2012x%2B13%3D90%20%5C%5C%20%5C%5C%2012x%3D77%20%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B77%7D%7B12%7D)
So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.
The radius becomes the side length of six isosceles triangles. Assuming each triangle is equilateral, the height of each triangle is 4*(sqrt3).
The total area is 6 times .5*4(4sqrt3)=41.56121938 or 42 square feet