Answer:
g/-5= 1
Step-by-step explanation:
g=-5, so -5/-5 is 1.
AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.
We are given the coordinates of points A and B, using which we can find the equation of the line for AB.
Slope of AB will be:

Using this slope and the point (2,1) we can write the equation for AB as:

The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.
Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:
y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11
Point C lies on the line y = 6x - 11. So if the y-coordinate of C is 13, we can write:
13 = 6x - 11
24 = 6x
x = 4
The x-coordinate of point C will be 4.
Therefore, the answers in correct order are:
4/3 , 6, -11, 4
Answer:
She should use 3/8 cup of jalapenos.
Step-by-step explanation:
This is because 1 1/2 is three times of 1/2 so you times 1/8 by three as well which equals to 3/8 cup of jalapenos.
Answer:
Sandy will finish the race first.
Step-by-step explanation:
Let D be the total one sided distance in miles, ( between X and Y ),
We know that,


Since, from point X to point Y and back, Jack averages 30 miles per hour to point Y and 10 miles per hour back to point X.
So, the total time taken by Jack = 



Also, Sandy averages 20 miles per hour in both directions,
So, the total time taken by Sandy = 




∵ 0.133D > 0.10D
Hence, Sandy will finish the race first.
The answer is 32. This is because, first according to The Order of Operations, we do parentheses first (or other grouping symbols). So now the equation looks like this: 8(5 + 11) divided by 4. Next, we add 5 +11, which is 16, so 8(16) = 128, and 128 divided by 4 is 32. I hope this helps! If you need helps on the Order of Operation, please ask! :D