1. Max has a rectangular yard with a length of 15 metres and a width of 10 metres. He wants to build a fence around the yard, but he also needs to create an entrance gate that is 2 metres wide. The gate will replace a section of the fence on one of the shorter sides (the width). After building the gate, Max plans to use the remaining fencing material to add a small square flower bed in one corner of the yard. The flower bed will be enclosed with fencing on all four sides. a. How many metres of fencing material does Max need to buy to enclose the yard, excludin the gate?

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 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.)

(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.

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

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 \( C \).