First you have to find the slope with the equation y2 - y1 / x2 - x1 , then once you have found the slope (slope = -2) you simply plug it into the point slope formula. y-0 = -2(x-5) solving it algebraically you should arrive at Y=-2x+10. (the 5 and 0 were plugged in are two of the X and Y points of the line which is why we plugged them into the X and Y values of the equation)
For similar triangles, the ratio of the corresponding sides are equal. To determine the common ratio, we take the square root of the ratio of the given areas.
ratio = sqrt (384 / 1057)
ratio = 384/1057
Then, for the volume, we have to cube the ratio calculated above. If we let x be the value of the volume of the smaller solid.
(384/1057)^3 = x/1795
x = 86 yd
Thus, the volume of the smaller figure is 86 yd³.
Answer:
I'm assuming it would be 3 hours
Step-by-step explanation:
It would be 3 hours because after three hours, the candle that can only burn for 3 hours will have burned out. This leaves the candles that can burn for 4 and 5 hours. I guess if you want to get really specific you could say 3 hours and 59 minutes but I'm not totally sure how your teacher wants the answer
1 x 1 = 1
1 x -5 = -5
So, -5/7