Questions in mathematics

Questions in mathematics

[Free] The point-slope form of the equation of the line that passes through $(-5,-1)$ and $(10,-7)$ is $y+7=-\frac{2}{5}(x-10)$. What is the standard form of the equation for this line? A. $2 x-5 y=-15$ B. $2 x-5 y=-17$ C. $2 x+5 y=-15$ D. $2 x+5 y=-17$

[Free] Find the value of the expression: [tex]$2.73^{13} \div 2.73^{12}$[/tex]

[Free] \begin{array}{l} \frac{2 x}{3}+y=16 \\ x+\frac{y}{4}=14 \end{array}

[Free] Solve: [tex]$\sin \left(\frac{11 \pi}{2}+x\right)=-\frac{1}{2}$[/tex] for [tex]$[\pi, 2 \pi]$[/tex]

[Free] Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, $y$, of the rectangular garden that she creates if one side is $x$ feet long? $y=(60-x)(x)$ $y=(120-x)(120+x)$ $y=(120-x)(x)$ $y=(60-x)(60+x)$

[Free] What is $p^2-20 p+51$ in factored form?

[Free] Consider the exponential function [tex]$f(x)=3\left(\frac{1}{3}\right)^x$[/tex] and its graph. Which statements are true for this function and graph? Select three options. * The initial value of the function is [tex]$\frac{1}{3}$[/tex]. * The base of the function is [tex]$\frac{1}{3}$[/tex]. * The function shows exponential decay. * The function is a stretch of the function [tex]$f(x)=\left(\frac{1}{3}\right)^x$[/tex] * The function is a shrink of the function [tex]$f(x)=3^x$[/tex].

[Free] 15. 3 bags and 4 pens together cost 257 rupees whereas 4 bags and 3 pens together cost 324 rupees. Find the cost of a bag and 10 pens. Use Matrix Inversion method to solve the system of equations

[Free] A stone arch in a bridge forms a parabola described by the equation $y=a(x-h)^2+k$, where $y$ is the height in feet of the arch above the water, $x$ is the horizontal distance from the left end of the arch, $a$ is a constant, and $(h, k)$ is the vertex of the parabola. What is the equation that describes the parabola formed by the arch? A. $y=-0.090(x-13)^2+12$ B. $y=-0.090(x-12)^2+13$ C. $y=-0.071(x-13)^2+12$ D. $y=-0.071(x-12)^2+13

[Free] $\frac{2}{11}=\frac{12}{x}$, then $x$ equals