Answer:
x = 1/3 or -2
Step-by-step explanation:
2x^2 + 7x - 2 = - x^2 + 2x
3x^2 + 5x - 2 = 0 (use factoring)
(3x − 1)(x + 2) = 0
3x - 1 = 0 OR x + 2 = 0
3x = 1 x = - 2
x = 1/3
Can you mark as brainliest? Hope it helps by the way!
Answer:
Step-by-step explanation:
A =1/2 *h (x+y)
A =hx+hy/2
A*2 =hx+hy
2A =hx+hy
2A - hy = hx
(2A -hy)/h = x
The factor of mn+5m-3n-15 is 6m-4n-15.
Answer:
Step-by-step explanation:
14) 2x - 10 = 80 {alternate interior angles are equal}
2x = 80 + 10
2x = 90
x = 90/2
x = 45°
15) 3x + 120 = 180 { co interior angles are supplementary}
3x = 180 - 120
3x = 60
x = 60/3
x = 20°
16) 3x + 15 = 135 {corresponding angles are equal}
3x = 165 - 15
3x = 150
x = 150/3
x = 50°
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.