B. \(x^2+2x+4\) C. \(2x^2-4x-2\) D. \(2x^2+4x+2\) 12- If \(\frac{8}{3x}=\frac{4}{x-5}\) what is the value of \(\frac{3x}{5}\)? A. \(-6\) B. \(-3\) C. \(-2\) D. \(6\) 13- Which of the following is an equation of a circle in the \(xy\)-plane with center \((1,-3)\) and a radius with endpoint \((5,2)\)? A. \((x+1)^2+(y+3)^2=-9\) B. \((x-1)^2+(y+3)^2=41\) C. \((x+1)^2+(y-3)^2=-9\) D. \((x-1)^2+(y-3)^2=41\) 14- […]
44- Choice D is correctThe equation of a circle with center \((h, k)\) and radius \(r\) is \((x-h)^2+(y-k)^2=r^2\). To put the equation \(x^2+y^2+10x+4y=3\) in this form, complete the square as follows:\(x^2+y^2+10x+4y=3, (x^2+10x)+(y^2+4y)=3\),\((x^2+10x+25)-25+(y^2+4y+4)-4=3, (x+5)^2+(y+2)^2=32\)\((x+5)^2+(y+2)^2=(\sqrt{32})^ 2\), Therefore, the radius of the circle is \(\sqrt{32}\). Best SAT Math Prep Resource for 2026 45- Choice D is correctBy definition, […]
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