The solutions are: x = 6; x = -4.
Explanation: The given equation is:
x^2 -2x -24 = 0
x^2 -6x + 4x - 24 = 0
x(x-6) + 4(x-6) = 0
(x-6)(x+4) = 0
=> x = 6
=> x = -4
Hence the solutions are: x = 6; x = -4.
I think its d but you cant see all of the question.<span />
Answer:
So he starts at underground level and goes even deeper so the answer is D
Step-by-step explanation:
What we want to draw is the half closed interval:
I= [-5, 4) excluding 0,
as the union of 2 different intervals say a and b.
Let a be the interval containing the smallest value.
Then the smallest value of a is -5, and the largest possible value of a is 0, not included, if we want to write a as an interval, without "gaps", or "holes".
So a=[-5, 0)
similarly, b=(0, 4).
Answer: [-5, 4)=[-5, 0)∪(0, 4)
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
