2 years ago

Solve for θ. Please help me!!

1 answer:

4 0

We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.

${sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12}$

$= 30 \: degrees$

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Find the vertex of the graph of f(x) = x2 + 4x - 5.

Fofino [41]

You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
$\frac{df}{dx}=2x+4$
Solve the equation:
$2x+4=0$
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
$(-2)^2+4 \cdot (-2)-5=4-8-5=-9$

You get the same answer: x=-2, y=-9

So the answer is
B. (-2, -9)