A ladder is leaning against a wall. If the base of the ladder is 7 meters from the wall and the ladder is 25 meters long, how high up the wall does the ladder reach?

The coordinates of triangle ABC are \( \mathrm{A}\left(-4 \frac{1}{2},-2 \frac{1}{2}\right), \mathrm{B}\left(-4 \frac{1}{2},-1\right) \), and \( \mathrm{C}(6,-1) \). a. What is the distance between points A and B ? b. Give the coordinates for two points that are 4 units from point C . a. Points A and B are \( \square \) units apart. (Type an integer, fraction, or mixed number.)

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. (Type an ordered pair.)

Defina o que é o raio de um círculo e como ele se relaciona com o diâmetro.

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

We desea eartriif una cala sin lapa y que almacene dial mayor volumen. para ello se dispone de una lamina d carton con las siguientes medidas. \[ 10 \mathrm{~cm} \times 9 \mathrm{~cm} \]