5.4 - Online Quiz - Hyperbolas Question 1 of 5 Identify the center. \( \frac{x^{2}}{12}-\frac{y^{2}}{16}=1 \)

Given the square root function \( f(x) = \sqrt{x + 3} - 2 \), describe the transformations applied to the basic square root function and how they affect the graph.

Find the domain \( \left(D_{f}\right) \) and the range \( \left(R_{f}\right) \) for the function \( f \) with \( f(x)=\frac{1}{\sqrt{x}} \) (A) None of these (B) \( D_{f}=(0 ; \infty) \) and \( R_{f}=[0 ; \infty) \) (C) \( D_{f}=[0 ; \infty) \) and \( R_{f}=[0 ; \infty) \) (D) \( D_{f}=(0 ; \infty) \) and \( R_{f}=(0 ; \infty) \) (E) \( D_{f}=[0 ; \infty) \) and \( R_{f}=(0 ; \infty) \)

3 Convert radian \( \leftrightarrow \) degrees \( -372^{\circ} \quad \frac{13 \pi}{20} \)

Using Logtabler evaluate \[ \sqrt{\frac{4.684 \times 2.497}{\tan 87^{\circ}}} \]

Задание 2 . Про положительные числа \( a, b, c, d \) известно, что \( a+d=22 \) и \( b+c=30 \). Вычнслите наименьшее значение выражения \( \sqrt{a^{2}+b^{2}}+\sqrt{25+c^{2}}+\sqrt{d^{2}+36} \).