Answer:
Step-by-step explanation:
I'm assuming you're not doing the pre-calculus version of this equation where your angle is in radians. So we'll do the Geometry version which looks like this:

Our angle is 30 and our radius is 4, so we fill in accordingly:
(this is if you multiply in pi. We'll find the answer in terms of pi as well).
AL =
and
AL = 2.09433 inches
In terms of pi, the answer would be
AL =
inches
Answer:
x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.
Step-by-step explanation:
→ Substitute x = -6 into f ( x )
( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8
→ Simplify
216 - 108 + 12 - 8
→ Simplify further
112
Please use " ^ " to indicate exponentiation: <span>y=−0.5x^2+8x
Examining this function, we see that its graph is a vertical parabola opening down.
You did not supply instructions for this problem.
However, one could guess that you might want to find the highest point of the grasshopper's path. To do this, find the vertex: Find the x value defined by
x = -b/(2a). Here, a= -0.5 and b= 8. Thus, the vertex is at x = -8/(2[-0.5]), or
x -8/(-1) = 8 units. The corresponding y value is then
y = </span><span>−0.5*8^2+8(8) = -0.5(64) + 64, or 32 units.</span>
Answer:
See explanation
Step-by-step explanation:
Given a system of equations, you can
- rewrite one of the equations and write the sum of two equations instead of the second equation;
- rewrite one of the equations and write the difference of two equations instead of the second equation;
- rewrite one of the equations and write the sum of the first equation multiplied by one nonzero number and the second equation multiplied by another nonzero number instead of the second equation.
These actions are called elementary row operations. Elementary operations with system of equations do not change the solution set.
Answer:
hope this helps, happy learning!!!!