Step-by-step explanation:
tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.
Therefore 1.6m / (2m + x) = 1/√3
By cross multiplication, 1.6√3 = 2 + x.
Hence, x ≈ 0.77m.
17 . Find the values of g(9) and h(-14) and add them together.
The function equations are given to find their values substitute 9 in g(x) and -14 in h(x)
20. They said f(x) = 2x + 9 and f(x) = 15 , which means they are equal to each other.
So write them as 2x + 9 = 15 , and solve the equation to find the value of x.
25. Here all you have to do is substitute 4 into the f(x) equation to find f(4)and you will have your answer.
Hope this helped!
Answer:
1.0 - 0.6 = 0.4 (1.0 and 0.6)
OR
12.6 - 12.2 = 0.4 (12.6 and 12.2)
Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)
As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3
Equation:
=> y - y1 = m(x - x1)
=> y - 0 = (3)(x - (-2))
=> y = 3(x + 2)
=> 3x - y + 6 = 0