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Home » Simplify to \( 14x = 21 \), so \( x = \frac2114 = \frac32 \). - Dyverse

Simplify to \( 14x = 21 \), so \( x = \frac2114 = \frac32 \). - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Subtract 936 from both sides: \( 4x^2 + 100x - 336 = 0 \).
Divide the entire equation by 4: \( x^2 + 25x - 84 = 0 \).
Solve the quadratic equation using the quadratic formula \( x = \frac{...
Calculate the discriminant: \( 25^2 - 4 \times 1 \times (-84) = 625 +...
Find the square root of the discriminant: \( \sqrt{961} = 31 \).
Calculate the roots: \( x = \frac{-25 \pm 31}{2} \).
The possible solutions are \( x = \frac{6}{2} = 3 \) and \( x = \frac{...
Since width cannot be negative, \( x = 3 \).
A company produces cylindrical cans with a height of 12 cm and a radiu...
Calculate the surface area of the cylinder: \( 2\pi r(h + r) \).

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\frac{4 - 0}{3 - 0} = \frac{4}{3}
So the slope of the perpendicular bisector is:
-\frac{3}{4}
Equation of the perpendicular bisector through $M_2$:
y - 2 = -\frac{3}{4} \left(x - \frac{3}{2} \right)
Step 3: Find intersection point with $x = 3$
Substitute $x = 3$ into the second equation:
y - 2 = -\frac{3}{4} \left(3 - \frac{3}{2} \right) = -\frac{3}{4} \cdo...
\Rightarrow y = 2 - \frac{9}{8} = \frac{7}{8}
Thus, the Chebyshev center is at:

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