49x^2 + 64y^2 = 3136 . . . (1)
y - 6 = (1/4)x^2 . . . (2)
From (2), x^2 = 4(y - 6) = 4y - 24 . . . (3)
Putting (3) into (1) gives
49(4y - 24) + 64y^2 = 3136
196y - 1176 + 64y^2 = 3136
64y^2 + 196y - 4312 = 0
y = 6.819
x = sqrt(4(6.819) - 24)
x = 1.81
The possible point of collision is (1.81, 6.819)
Answer:
52 inches by 29 inches
Step-by-step explanation:
Let one side by 16x and the other side be 9x
We know the diameter is 60 inches
Using the Pythagorean theorem
a^2 + b^2 = c^2
(16x) ^2 + ( 9x) ^2 = 60 ^2
256 x^2 + 81x^2 = 3600
Combine like terms
337 x^2 = 3600
Divide each side by 337
337x^2 /337 = 3600/337
x^2 =10.68249258
Take the square root of each side
sqrt(x^2) =sqrt(10.68249258)
x =3.268408264
The sides are 16x by 9x
16*(3.268408264) =52.29453223 or 52
9 *(3.268408264)= 29.41567438 or 29
Answer:
10 km/hr
Step-by-step explanation:
5 hrs = 40 more with 2 km/hr current
2 hrs= less 40 no current
40-2x5=30
30 without current for three hours
30/3=10 km/hr no current
***
CHECK
10x2=20
10x5=50+2x5=60
***
Hope this helps, and please mark me brainliest! thanks! >//-//<
Answer:60
Step-by-step explanation: it needs to add up to 180
Answer:
<em>d</em> = 
or 8.60
Step-by-step explanation:
(5, 8) (-2, 3)
Let 5 = 
8 = 
-2 = 
3 = 
Plug in the values into the equation to get the distance:
<em>d = </em>
<em />
<em>d </em>= 
<em>d = </em>
<em>d</em> = 
<em>d = </em> or 8.60
