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Questions in mathematics

[Free] Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. [tex]\text { Slope }=-\frac{2}{9}, \text { passing through }(4,-5)[/tex] Write an equation for the line in point-slope form. [tex]y+5=-\frac{2}{9}(x-4)[/tex] (Simplify your answer. Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form. [tex]y=\frac{-2}{5} x-\frac{17}{5}[/tex] (Simplify your answer. Use integers or fractions for any numbers in the equation.)

[Free] Find the equation of a line in slope intercept form with points $(9,-2)$ and $(-3,2)$. a. $y=-3 x+2$ b. $y=\frac{-1}{3} x+1$ c. $y=9 x-2$ d. $y=\frac{3}{4} x+5$

[Free] What is the $y$-coordinate of the point that divides the directed line segment from J to K into a ratio of $5: 1$?

[Free] Which multiplication problem is represented by the model? $\frac{1}{2} \times \frac{4}{5}$ $\frac{1}{6} \times \frac{2}{5}$ $\frac{5}{6} \times \frac{1}{2}$ $\frac{5}{12} \times \frac{1}{12}$

[Free] Solve the system for $x$ and $y$. $\begin{array}{l} -8 x-y=-43 \\ 0-5 y=-71 \end{array}$ A. $(3,19)$ B. $(-2,11)$ C. $(2.27)$ D. (4.11)

[Free] When 2,751,076 is divided by 9 the quotient is ______ and the remainder is ______.

[Free] The zero of the polynomial p(x) = 2x + 7 is (a) \(\frac{2}{7}\) (b) \(-\frac{2}{7}\) (c) \(\frac{7}{2}\) (d) \(-\frac{7}{2}\)

[Free] What is a potential limitation of using higher-order Taylor series for approximation? A. Increased computational cost B. Reduced accuracy C. Increased risk of divergence D. Limited convergence range

[Free] Determine the equation of a circle that is centered at (0,0) and passes through the point (1,-5).

[Free] How many integers exist which leave a remainder of 2 when divided by 3?