Questions in Grade College

Questions in Grade College

[Done] The coordinates of line [tex]AB[/tex] are [tex]A(3,6)[/tex] and [tex]B(1,1)[/tex]. Determine the slope of a line perpendicular to line AB. Without drawing, determine whether each of the following pairs of lines are perpendicular or not. (a) [tex]y=-3 x+4[/tex] and [tex]y=\frac{1}{3} x+12[/tex] (b) [tex]y=\frac{3}{5} x+3[/tex] and [tex]y=5 x-12[/tex] (c) [tex]y=\frac{1}{7} x-9[/tex] and [tex]y=-\frac{1}{7} x+11[/tex] Chebet drew line NM with coordinates N(3,5) and M(1,-1). Magero drew line [tex]CD[/tex] with coordinates [tex]C(3,6)[/tex] and [tex]D(4,3)[/tex]. Determine whether line NM is perpendicular to line [tex]CD[/tex] or not. Extended activity: The equation of a straight line is [tex]3 y-6 x+4=0[/tex]. Determine the equation through point [tex](1,2)[/tex] and perpendicular to the given line.

[Done] Which of the following statements are true? Check all that apply. A. The function [tex]f(x)=\frac{1}{2} \sqrt[3]{x}[/tex] has the same domain as [tex]f(x)=\sqrt[3]{x}[/tex], but its range is 1/2 as large. B. The function [tex]f(x)=\frac{13}{2}^x[/tex] has the same domain and range as [tex]f(x)=\sqrt[3]{x}[/tex] C. The graph of [tex]f(x)=\frac{1}{2} \sqrt{x}[/tex] looks like the graph of [tex]f(x)=\sqrt[3]{x}[/tex]. D. The graph of [tex]f(x)=\frac{1}{2} \sqrt[3]{(x-2)}[/tex] looks like the graph of [tex]f(x)=\sqrt[3]{x}[/tex], except it is shifted right and shrunk vertically by a factor of 1/2.

[Done] Which of the following is the inverse of $y=3^x$? A. $y=\frac{1}{3^x}$ B. $y=\log _3 x$ C. $y=\left(\frac{1}{3}\right)^x$ D. $y=\log _{\frac{1}{3}} x$

[Done] Stress caused by not being able to accomplish all the tasks and obligations in the time available is known as

[Done] Why is the image of the setting sun most likely not described in great detail in "Because I Could Not Stop for Death"? A. It is a common symbol of death that requires little description. B. It is a part of the plot that does little to contribute to the theme. C. It is not meant to be seen as an important symbol within the poem. D. It is not a significant aspect of the mood created within the poem.

[Done] The income you take home after taxes are taken from your pay is your A. Net Income B. Gross Income C. Budget Income D. Monthly Income

[Done] Does the following table represent a probability distribution? | Category | Probability | | -------- | ----------- | | Main Dish | 0.421 | | Appetizer | 0.210 | | Dessert | 0.103 | | Salad | 0.173 | | Vegetable | 0.093 | A. No B. Yes C. Can't be determined with the given information

[Done] Which feature is used to classify galaxies? A. age B. color C. shape

[Done] A body is a particular amount of matter. It can be a solid, liquid, or gas. It can be described as existing in A. location and movement. B. time and space. C. size and shape. D. motion and force.

[Done] What is the determinant of the coefficient matrix of the system $\left\{\begin{array}{l}-x-y+2 z=5 \\ 3 x+2 y-z=3 \\ 4 x+4 y-8 z=-2\end{array}\right.\$? A. 0 B. 16 C. 18 D. 40