Question

1. solve the following by taking the square root. 3z² + 19 = 46 round your answer to the nearest hundredth. z = ±__ 49. how many sides does a pentagon have? __ sides 50. determine the type of quadrilateral shown below. parallelogram trapezoid neither

Explanation:

Step1: Isolate the quadratic term

Subtract 19 from both sides of the equation $3z^{2}+19 = 46$.
$3z^{2}=46 - 19=27$

Step2: Solve for $z^{2}$

Divide both sides of the equation $3z^{2}=27$ by 3.
$z^{2}=\frac{27}{3}=9$

Step3: Take the square - root

Take the square - root of both sides.
$z=\pm\sqrt{9}=\pm3$

Answer:

1. $z = \pm3$
2. 5
3. Parallelogram