Ross and Ronnie are late for their favorite show . Ross walks around a rectangular park with dimensions of 150 ft by 215 ft. Ron
1 answer:
Answer:
Ronnie walked the shortest distance by (365 - 262.15 ) = 102.85 ft
Step-by-step explanation:
The image attached represent the rectangular park. In this case, the dimensions are;
AB = CD = 215 ft
AC = BD = 150 ft
Total distance walked by Ross = AB + BD = 215 + 150 = 365 ft
Distance walked by Ronnie = AD
∠ABD = right angle triangle, using pythagoras rules;
AD² = AB² + BD²
AD² = 215² + 150²
AD² = 68725
AD = √68725
AD = 262.15 ft
Distance walked by Ronnie = 262.15 ft
Ronnie walked the shortest distance by (365 - 262.15 ) = 102.85 ft
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Answer:
Step-by-step explanation:
given ,
equation y=ax²+bx+c
passing through points (1,6), (3, 20), and (−2,15).
then these points will satisfy the equation
at (1,6)
y = a x²+b x+c
6 = a(1)² + b (1) + c
a + b + c = 6------(1)
at (3 , 20)
y = a x²+b x+c
20 = a(3)² + b (3) + c
9 a + 3 b + c = 20------(2)
at (−2,15)
y = a x²+b x+c
15 = a(-2)² + b (-2) + c
4 a -2 b + c = 15------(3)
solving equation (1),(2) and (3)
a = 6 - b - c
9 (6 - b - c)+ 3 b + c = 20
6 b + 7 c = 34-------(4)
4 (6 - b - c) -2 b + c = 15
2 b + c = 3----------(5)
on solving equation (4) and (5)