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Questions in Grade High-school

📝 Answered - Complete the square to find the vertex of this parabola. [tex]y^2-4 x-8 y-12=0[/tex] ([?], [ ])

📝 Answered - Reduce the fraction [tex]$36 / 48$[/tex] to its lowest terms.

📝 Answered - The graph of f(x)=√x is reflected across the y-axis to create the graph of function g. How do the domains of ƒ and g compare? A. The domains of f and g are both x≥ 0. B. The domains of f and g are both all real numbers. C. The domain of f is x≥ 0, while the domain of g is x≤ 0. D. The domain of f is x≤ 0, while the domain of g is x≥ 0.

📝 Answered - This circle is centered at the origin, and the length of its radius is 5. What is the equation of the circle? A. $x^2+y^2=5^2$ B. $x^2+y^2=5$ C. $\frac{x^2}{5}+\frac{y^2}{5}=1$

📝 Answered - Find the center and radius of this circle. [tex]\begin{array}{l} (x-2)^2+(y+3)^2=36 \\ C=([?],[]) \text { and } r=[] \end{array}[/tex]

📝 Answered - What is the main function of an engine cut-off switch?

📝 Answered - Which graph matches the equation $y+6=\frac{3}{4}(x+4)$?

📝 Answered - Which statement is true for $\log _3(x+1)=2$? A. $x+1=3^2$ B. $x+1=2^3$ C. $2(x+1)=3$ D. $3(x+1)=2$

📝 Answered - The grade distribution of the students in a geometry class is as follows. | Grade | A | B | C | D | F | | :---- | :- | :- | :- | :- | :- | | Frequency | 28 | 35 | 56 | 14 | 7 | Find the probability that a student earns a grade of B. [tex]P(B)=?[/tex]

📝 Answered - Let $f$ be a function such that $f^{\prime}(x)=2 \cos (2 x)$ and $f\left(\frac{2 \pi}{3}\right)=-\frac{\sqrt{3}}{2}$. Use the tangent line approximation of $f(x)$ at $x=\frac{2 \pi}{3}$ to estimate the value of $f(\pi)$. a $-\frac{\sqrt{3}}{2}-\frac{\pi}{3}$ b $-\frac{5 \pi}{3}+\frac{1}{2}$ c $\frac{2 \pi}{3}-\frac{2}{\sqrt{3}}$ d $-\frac{\sqrt{3}}{3}$ e $\frac{2 \pi}{3}$