Answer:
Step-by-step explanation:
Let the equation of the line be 
where, 'm' is its slope and 
is a point on it.
Given:
The equation of a known line is:
A point on the unknown line is:
Both the lines are perpendicular to each other.
Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is 
When two lines are perpendicular, the product of their slopes is equal to -1.
Therefore,
Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,
The equation of a line perpendicular to the given line and passing through (4, -6) is .
Answer:
C. 57°
Step-by-step explanation:
All triangles have a sum of 180°.
m∠D + m∠E + m∠F = 180°
35° + m∠E + 88° = 180°
123° + m∠E = 180°
m∠E = 57°
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.
I think around 44% chance that all three flights would arrive on time, but i'm not that sure.
Answer:
Answer:
No solutions
Step-by-step explanation:
6 - 3x = 4 - x - 3 - 2x
6 - 3x = 1 - 3x
6 = 1
No solutions (6 does not equal 1)
Step-by-step explanation:
