A. Equation of line l: y = mx + 20 where m = y' = 1- (1/250)x
At the point Q, The equation of the line equals the equation of the parabola.
So (1-x/250)x + 20 = x - x^2/500
20 = x^2/250 - x^2/500 = x^2/500
x = sqrt(20*500) = 100ft
B. m = 1 - 100/250 = 3/5.
<span>Equation of line L is y = 3/5x + 20
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C) If a spotlight is located at the x intercept of line L (-33 1/3,0), its light will go only above line L past the point where line L is tangent to the hill at (100,80) because the hill blocks the light below the tangent line.
<span>The highest point on the equation of y = x - x²/500 is at (250,125), so a tree 50 feet tall at that location would reach up to (250,175). The tangent line goes through (250,170), so the top 5 feet of the tree would be above the tangent line, in the glow of the spotlight.
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Answer:
A ( SAS )
Step-by-step explanation:
Answer: $400
Step-by-step explanation: 320 * 1/2 = 80 & 80 + 320 = 400
In the bag of 250 marbles, the fraction of the blue is 4/ 25, in a percent, that'll be 16%. So, 16% of the bag is filled with blue marbles.
I hope I helped :)
Number one would be 13 because you have to add the x to both sides which will leave you with 2x=26 then you have to divide by 2 and you will get x=13. Number two is 7 7/8 because you have to add the 1/3x to the other 1/3x to get 2/3x= 5 1/4 so then you divide both sides by 2/3 and to divide a fraction you do keep change flip so it would be 21/4 times 3/2 which would be 63/8 which simplifys to 7 7/8.
