I'm here to help. Those 3 points all lie on the same line. We know this because if we find the slope between any 2 of those points, it is the same. I'll show you: 
. Now another 2 points: 
. The same holds for the first and third points. So we got that out of the way. Now we will pick any one of those points and use the x and y values and our slope to write an equation of that line and then finally solve for the x and y intercepts. I'm going to use the first point (10, 20): 
. We will simplify to get it into y = mx + b form: 
and 
and finally, 
. The y-intercept exists when x = 0, so when x = 0, y = 36. The x-intercept exists when y = 0, so when y = 0, x = 22.5. In summary, y-intercept: (0, 36). x-intercept: (22.5, 0) and you're all done!
Bucket A has 5 1/2 gallons of water, but is draining at a rate of 3/4 gallons per hour. Bucket B has 2 1/4 gallons of water, but
1 answer:
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Answer:
or 7.14
Step-by-step explanation:
Using the Pythagoras theorem, we can conclude the formula that we are going to use here is
As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or
Now we need to find in the formula of
making the equation
or
Given the provided information, this would be or
Simplifying it would be =
The radical form would be
While it's integer would be 7.14
Hope this helps!