Answer:
1). 10. 2). 9. 3). 2(square root)14. 4). (square root)6. 5). right triangle. 6). not a right triangle. 7). 13. 8). 3(square root)34. 9). acute. 10). acute. 11). right. 12). obtuse
Step-by-step explanation:
Answer:
Bumby Avenue is represented by the line:
y = -4*x - 7.
Primrose Avenue can be represented with:
8x + 2y = 17.
We may want to find the point where both avenues intersect.
Let's isolate y in this second equation:
2y = 17 - 8x
y = 17/2 - 8x/2 = -4*x + 17/2
Now we can see that the equation for Primrose Avenue has the same slope than the equation for Bumby Avenue, and when two linear equations have the same slope, means that the lines are parallel.
Then we can conclude that Primrose Avenue and Bumby Avenue are parallel, so they never meet eachother.
Answer:
350 tickets
Step-by-step explanation:
643-57=586
586/2=293
293+57=350
Answer: 31
Step-by-step explanation:
Formula to find the sample size is given by :_
, where z*= critical value corresponds to confidence level.
= population standard deviation.
E= Margin of error.
As per given , we have
E=1
We know that critical value corresponding to 95% confidence level = z*=1.96
Then, the required sample size would be :
Hence, the required minimum sample size = 31
