y2zy\left\{\begin{array}{l}48=z(z+12)\48=z^{2}+62z\0=z^{2}+12z-408\0=3.2)(z-15.2)\$z=-3.2\quad z=15.2\end{array}\right. Find the diameter of o.O. A line that appears to be tangent is tangent. If your answer is not a whole number, round to the nearest tenth. 10.11.12.12.50=360=8.
Q. y2zy\left\{\begin{array}{l}48=z(z+12)\48=z^{2}+62z\0=z^{2}+12z-408\0=3.2)(z-15.2)\$z=-3.2\quad z=15.2\end{array}\right. Find the diameter of o.O. A line that appears to be tangent is tangent. If your answer is not a whole number, round to the nearest tenth. 10.11.12.12.50=360=8.
Calculate rolls needed: Calculate the number of rolls needed by dividing the total amount of tape needed by the amount of tape on each roll. 8,000cm÷2,000cm/roll=4rolls
Simplify absolute value: Simplify the equation by recognizing that y2 is the absolute value of y.∣y∣=zy
Consider positive and negative cases: Since y could be positive or negative, we consider both cases.Case 1: y=zy (if y is positive)Case 2: −y=zy (if y is negative)
Case 1: y=zy: For Case 1, if y=zy, then y(1−z)=0. This implies either y=0 or z=1.
Case 2: −y=zy: For Case 2, if −y=zy, then y(−1−z)=0. This implies either y=0 or z=−1.
Correct system of equations: The system of equations is incorrect. It should be:48=z(z+12)48=z2+12z0=z2+12z−48
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