Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x2 + y2 = 5.

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie