Answer:
x=10
Step-by-step explanation:
You have to do Pythagorean theorem:
"a" and "b" are the legs. In this case 7 is a leg and x is a leg
"c" is the hypotenuses, which is 19 here
so...
a = 7
b = x
c = 19
Plug the numbers above into the equation:
Isolate x by subtracting 49 to both sides:
To solve for x you have to take the square root to both sides of the equation:
x = 17.6635
x = 17.7
Hope this helped!
Answer:
dy/dx = -5y - y/x
Step-by-step explanation:
In xy + 5x = 30
Differentiating xy implicitly
y + xdy/dx
Assuming u = xy
In xy = In u
Differentiating In u = 1/u = 1/xy
Differentiating 5x = 5 and differentiating a constant (30) = 0
1/xy(y + xdy/dx) + 5 = 0
(y + xdy/dx)/xy = -5
(y + xdy/dx) = -5xy
xdy/dx = -5xy - y
dy/dx = = (-5xy - y)/x
dy/dx = -5y - y/x
The equation of the ellipse ( in the standard form ) :
x² / a² + y²/ b² = 1
a = 6, b = 5 ( from a graph )
Answer: D ) x² / 36 + y² / 25 = 1
1. 259
2. 80
3. 5316
4. 5
5. 2524
