6. If \( \triangle P Q R \) is an equilateral triangle, \( P Q=18 x+1, Q R=24 x-17 \), and \( P R=15 x+10 \), find \( x \) and the measure of each side.

\begin{tabular}{l} 6.2. A cylinder has a radius of 7 cm and height of 10 cm . \\ \( \square \) \\ \hline \( .2 .1 \quad \) Calculate the volume of the cylinder. (if \( \pi=3,14 \) ) \end{tabular}

(Unit-AL) Uma célula esférica se dividiu em duas, preservando o volume total. Usando-se \( \sqrt[3]{2} \cong 1,26 \), se preciso, é correto estimar que o raio de cada uma das novas células será, em comparação com o da célula original, cerca de A. \( 20 \% \) menor. B. \( 30 \% \) menor. C. \( 40 \% \) menor. D. \( 50 \% \) menor. E. \( 60 \% \) menor.

a. Points A and B are 1.5 units apart. (Type an integer, fraction, or mixed number.) b. Give the coordinates of one point that is 4 units from point \( C \) in the x-direction. \( \square \) (Type an ordered pair.)

The coordinates of triangle \( A B C \) are \( A\left(-4 \frac{1}{2},-2 \frac{1}{2}\right), B\left(-4 \frac{1}{2},-1\right) \), and \( C(6,-1) \) a. What is the distance between points A and \( B \) ? b. Give the coordinates for two points that are 4 units from point \( C \).

VI. Determine the equation of the straight line in ordinary form that passes through the point \( (-2,5) \) and is parallel to the line \( 3 x-y=10 \).