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Questions in mathematics

[Done] Which of the following describes the dimensions of matrix A? [tex]A=\left[\begin{array}{ll}a_{11} & a_{12} \\ a_{21} & a_{22} \\ a_{31} & a_{23}\end{array}\right][/tex] A. [tex]2 \times 3[/tex] B. [tex]6 \times 1[/tex] C. [tex]3 \times 2[/tex] D. [tex]3 \times 3[/tex]

[Done] Consider a circle whose equation is $x^2+y^2+4 x-6 y-36=0$. Which statements are true? Check all that apply. A. To begin converting the equation to standard form, subtract 36 from both sides. B. To complete the square for the $x$ terms, add 4 to both sides. C. The center of the circle is at ( $-2,3$ ). D. The center of the circle is at $(4,-6)$. E. The radius of the circle is 6 units. F. The radius of the circle is 49 units.

[Done] Write each of the following sets using set-builder notation: a. $A=\{11,13,15,17,19\}$ b. $B=\{10,11,12,13,14\}$ c. $C=\{K, i, d\}$

[Done] Find the slope of the line that contains (-1, 9) and (9, 9). A. 10 B. 0 C. undefined D. 9/5

[Done] Which expressions are equivalent to $\frac{1}{81}$? Check all that apply. $8^1$ $9^2$ $9^t$ $9^t$ $9^{\frac{1}{2}}$ $9^{16}$ $0^6, 0^3$ $0^5, 0^7$

[Done] One cylinder has a volume that is $8 cm^3$ less than $\frac{7}{8}$ of the volume of a second cylinder. If the first cylinder's volume is $216 cm^3$, what is the correct equation and value of $x$, the volume of the second cylinder? A. $\frac{7}{8} x+8=216 ; x=182 cm^3$ B. $\frac{7}{8} x-8=216 ; x=196 cm^3$ C. $\frac{7}{8} x+8=216 ; x=238 cm^3$ D. $\frac{7}{8} x-8=216 ; x=256 cm^3

[Done] There are 88 baskets with 17 apples in each basket. How many apples are there in all if 6 more apples are added to each basket?

[Done] 10) A = {x ∈ P | x ≤ 10} B = {x | x² + 3x - 40 = 0}

[Done] The focus of a parabola is located at $(0,-2)$. The directrix of the parabola is represented by $y=2$. Which equation represents the parabola? A. $y^2=-2 x$ B. $x^2=-2 y$ C. $y^2=-8 x$ D. $x^2=-8 y$

[Done] Graph the following inequality: [tex]x+y \leq 7[/tex]