Answer:
Yes, it's a right-angle triangle
Step-by-step explanation:
3 root 2 is 4.24
3 root 3 is 5.2
3 root 5 is 6.71
3 root 5 is the longest side, so must be the hypotenuse.
a^2 + b^2 = c^2
(3 root 3)^2 + (3 root 2)^2 = c^2
45 = c^2
Square root both sides
C = root 45
( simplified to C= 3 root 5)
Thus, it is a right-angle triangle.
(Root means a square root)
Hope this helps!
Answer:
2. 9, 8+9
3. 17-8=9, 17, 8, 9
4. 13-7=6
Step-by-step explanation:
The choices are in the slope-intecept form: y = mx + b, where m is the slope and b is the y-intercept. Looking at the graph, the y-intercept is the point at which it intersects the y-axis. That would be -1. So, the answer is either the 1st or 2nd choice. Next, we find the slope. Take 2 points that lie along the line. For example, points (1,2) and (2,5). Calculate for the slope.
m = (y2-y1)/(x2-x1)
m = (5-2)/(2-1)
m = 3
Hence, the graph is y = 3x - 1
Answer:
3. about 7.48 hours
4. about 1.8892 hours
Step-by-step explanation:
Both of these questions make use of the relation ...
time = distance / speed
3. time = (965 mi)/(129 mi/h) ≈ 7.48062 h ≈ 7.48 h
__
4. time = (612.1 mi)/(324 mi/h) ≈ 1.889198 h ≈ 1.8892 h
(We have rounded the time to sufficient precision so that the distance at the given speed rounds to the number given.)