Answer:
m = - 2.27 or m = 16.27
Step-by-step explanation:
Given
m² - 14m - 37 = 0 ( add 37 to both sides )
m² - 14m = 37
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(- 7)m + 49 = 37 + 49, that is
(m - 7)² = 86 ( take the square root of both sides )
m - 7 = ± ( add 7 to both sides )
m = 7 ± , that is
m = 7 - ≈ - 2.27 or m = 7 +
≈ 16.27
Answer:
Step-by-step explanation:
The tunnel, the ground and the depth of the tunnel form a right angle triangle.
The length of the tunnel is the hypotenuse of the right triangle that has been formed.
Let the length of the tunnel be .
Using the sine ratio, we obtain;
The length of the opposite side is
We substitute the given values to obtain;
We cross multiply to obtain;
Therefore the correct answer is C.
Answer:
Step-by-step explanation:
Given that g is a function from g : {1, 2, 3} ->{1, 2, 4, 8}
by the function
i.e. we have
Range = {2,4,8} Since there is an extra element 1 in the co domain which is not in range , g is not on to
But g is one to one as 1,2,3 have different images.