All Tasks - Asymptote

Six times the preceding of a number plus its double is equal to the opposite of the number consecutive to that number.

Solve the linear equation $\frac{x+2}{2x+2}-\frac{1}{2}=\frac{x+4}{4x+4}$

Last Saturday John went for a trip. He traveled $\frac{3}{5}$ of the trip by train, $\frac{7}{8}$ of the remaining distance by car, and finally, he cycled the last 26 km. What was the total distance, in km, of the trip?

Use the following function rule $f(x)=x^2$ to fill in the following blanks

Which of the following functions are quadratic? $i. x+2y-3y²=5$ $ii. y=x^2+3x+2$ $iii. y+x^2=3χ+2$ $iv. y=3+2x^3+3x$ $v. y=χ²+3$ $vi. y=3(x-2)(x-3)$ $vii. xy=12$ $viii. y=-2(x-4)^2$ $ix. y-4=x^2+2x+\sqrt3$ $x. 3x^2+x-2=0$ $xi. 3-2y=0$

The kinetic energy of an object is given by the equation :$ K=\frac{1}{2}mv²$. If two objects with mass $3 kg$ and $12 kg$ have: a) the same kinetic energy, which object has the biggest velocity? b) the same velocity, which object have the biggest energy?