Answer:
Step-by-step explanation:
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
Bringing like terms on one side
3 + 9 = 4.5x - 1. 5x
12 = 3x
12/3 = x
4 = x
Answer:
A
Step-by-step explanation:
A secant is a line that goes through a circle at two points.
Answer:
The flag pole is 38.96 feet tall.
Step-by-step explanation:
The angle of depression from the top of the flagpole to an object on the ground is 33°.
The object is 60 feet from the base of the cliff.
We need to find the height of the flag pole.
Here, base, B = 60 feet
We know that,
Put all the values to find P.
So, the flag pole is 38.96 feet tall.
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
