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Chapter 7: Problem 60
Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{x-7}{7-x}$$
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Use a proportion to solve each problem. Height is proportional to foot length. A person whose foot length is 10 inches is 67 inches tall. In 1951 , photos of large footprints were published. Some believed that these footprints were made by the "Abominable Snowman." Each footprint was 23 inches long. If indeed they belonged to the Abominable Snowman, how tall is the critter? (IMAGE CANNOT COPY)
Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I can solve \(\frac{x}{9}=\frac{4}{6}\) by using the cross-products principle or by multiplying both sides by \(18,\) the least common denominator.
denominators are opposites, or additive inverses. Add or subtract as indicated. Simplify the result, if possible. $$\frac{10}{x-2}-\frac{6}{2-x}$$
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{x-5}{6} \cdot \frac{3}{5-x}=\frac{1}{2}\( for any value of \)x$ except 5$$
denominators are opposites, or additive inverses. Add or subtract as indicated. Simplify the result, if possible. $$\frac{2 x}{x^{2}-y^{2}}+\frac{2 y}{y^{2}-x^{2}}$$
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