Questions in mathematics

Questions in mathematics

📝 Answered - A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle [tex]$Y$[/tex] to the nearest degree. 1. [tex]$12^2=11^2+6^2-2(11)(6) \cos (y)$[/tex] 2. [tex]$144=121+36-(132) \cos (Y)$[/tex] 3. [tex]$144=157-(132) \cos (y)$[/tex] 4. [tex]$-13=-(132) \cos (y)$[/tex] _____ degrees

📝 Answered - $\frac{2 \sqrt{2}}{\sqrt{6}}+\frac{1}{\sqrt{3}} ?

📝 Answered - Which graph is the graph of this function? [tex]f(x)=\left\{\begin{array}{ll}\frac{1}{2} x-2 & \text { if } x \leq 6 \\ -x-1 & \text { if } x\ \textgreater \ 6\end{array}\right.[/tex] A. graph A B. graph B C. graph C D. graph D

📝 Answered - Apply the square root principle to solve $(x-3)^2+9=0$. A. $x=-3+3 i,-3-3 i$ B. $x=0,6$ C. $x=3+3 i, 3-3 i$ D. $x=0,-6$

📝 Answered - Show that the expression $\frac{\left(1-\cos ^2 x\right)\left(1+\cos ^2 x\right)}{\cos ^2 x}$ is equivalent to $\sin ^2 x+\sec ^2 x-1$.

📝 Answered - Given that [tex]y = \sin \left(2 x^3-4 x+2\right)[/tex], find the derivative of y with respect to x. A. [tex]2 x^3-4 x \sin \left(2 x^3-4 x+2\right)[/tex] B. [tex]6 x^2-4 \cos \left(2 x^3-4 x+2\right)[/tex] C. [tex]4 x^2-4 \sin \left(2 x^3-4 x+2\right)[/tex] D. [tex] \sin \left(2 x^3-4 x+2\right)[/tex]

📝 Answered - Find the derivative of the function. [tex]Y=7 \operatorname{SIN}^{-1}\left(X^2\right)[/tex]

📝 Answered - Now, using the best fit function for the data, [tex]y=-465.4569 x+17,267.6[/tex], perform extrapolation to estimate the principal balance of the loan after 15, 20, and 30 payments. Type the correct answer in each box. Round your answers to the nearest cent.

📝 Answered - Find the GCF of 40 and 120.

📝 Answered - Write the equation of the line that passes through the points $(8,-1)$ and $(2,-5)$ in standard form, given slope form is $y+1=\frac{2}{3}(x-8)$. $\square x+$ $\square y=$ $\square$