Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
Step-by-step explanation:
=9x+2(2x+3)
=9x+4x+6
=13x+6 I hope so,
Answer:
Option D
Step-by-step explanation:
In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles
The Rule says

Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.
Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.
Example
in first option we can apply Sine Rule as





Answer: 4x
Step-by-step explanation: Move all terms that don't contain y to the right side and solve. y = 4x
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121