Problem 39
Draw a picture on the number line of the given interval. $$[-2,1]$$
Problem 40
Draw a picture on the number line of the given interval. $$(-1,1)$$
Problem 43
Determine whether the line through \(P\) and \(Q\) is parallel or perpendicular to the line through \(R\) and S or neither.\(P=(2,5), Q=(-1,-1)\) and \(R=(4,2), S=(6,1)\)
Problem 43
Use interval notation to denote the set of all real numbers \(x\) that satisfy the given inequality. $$5 \leq x \leq 10$$
Problem 47
Determine whether the lines whose equations are given are parallel, perpendicular, or neither. \(2 x+y-2=0 \quad\) and \(\quad 4 x+2 y+18=0\)
Problem 51
Express the given numbers (based on 2006 estimates) in scientific notation. Average distance from Earth to Pluto: 5,910,000,000,000 meters
Problem 53
Use a calculator to find approximate solutions of the equation. $$4.42 x^{2}-10.14 x+3.79=0$$
Problem 55
Express the given number in normal decimal notation. Average distance from the earth to the sun: \(1.50 \times 10^{11}\) meters
Problem 55
Find the equation of the perpendicular bisector of the line segment joining the two given points. $$(2,-3),(4,7)$$
Problem 56
Use a calculator to find approximate solutions of the equation. $$7.63 x^{2}+2.79 x=5.32$$