Find the derivative of the curve to find the line slope at the given point
sqrt(xy) + 4 dy/dx = 39
0.5(xy)^(-0.5) * (y + x dy/dx) + 4dy/dx= 0
No need to amplify simply plug in the given point ( 1,9)
0.5 ( 1 * 9)^(-0.5)* ( 9 + dy/dx) + 4dy/dx = 0
Solve for dy/dx
1/6( 9 + dy/dx) = -4dy/dx
9 + dy/dx = -24 dy/dx
-25dy/dx = 9
dy/dx = -9/25
as your question implies , you know the rest of the steps.
Answer:
Step-by-step explanation:
1²+16²=1+256=257≠289(17²)
2²+16²=4+256=260≠17²
3²+16²=9+256=265≠17²
4²+16²=16+256=272≠17²
5²+16²=25+256=281≠17²
6²+16²=36+256=292>17²
6²+15²=36+225=261≠17²
7²+15²=49+225=274≠17²
8²+15²=64+225=289=17²
9²+14²=81+196=277≠17²
10²+14^2=100+196>289
10²+13²=100+169=269≠17²
11²+13³=121+169=290>17²
11²+12²=121+144=265≠17²
12²+12²=144+144=288≠17²
so only integer values are 8²+15²=17²
(x+4)²+(y-7)²=17²
if x+4=8
x=8-4=4
y-7=15
y=15+7=22
so q is (4,22)
if x+4=15
x=15-4=11
y-7=8
y=8+7=15
point is (11,15)
Answer:
They are similar
Step-by-step explanation:
Those are called complimentary angles if I remember correctly. They are corresponding which makes the triangles simila.