Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. If the x-coordinate of P is positive and the y-coordinate of P is negative, then P is in Quadrant IV.
2. If AB = ?7, BC = ?3, and AC = ?10 , then A, B, and C are collinear.
3. If M(a, b) is the midpoint of for A(c, d), then B has coordinates (2a–c, 2b–d).
4. If the slopes of two different lines are undefined, then the lines are parallel.
5. If the slope of a line is m, then the slope of any perpendicular line is -1/m.
1. T
2. F—AC = ?7 + ?3.
3. T
4. T
5. F; only if m + 0
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Solve the problem. Round your result to an appropriate number of significant digits.A rectangular classroom is 10.0 ft wide, 19.0 ft long, and 8.0 feet high. What is the length of the longest diagonal from one corner to another corner of the room?
A. 29 ft B. 37 ft C. 21 ft D. 23 ft
Solve the following equation.
a.
b.
c.
d.
e.
Find the volume of the solid. Use for ?.
A. 17 cu yd B. 99 cu yd C. 33 cu yd D. 363 cu yd
Write an algebraic equation and use it to solve the problem.Don James wants to invest $54,000 to earn $4700 per year. He can invest in bonds paying
per year or in a Certificate of Deposit (CD) paying
per year. How much money should be invested in each to realize exactly $4700 in interest per year?
A. $28,000 in B-rated bonds and $26,000 in a CD B. $29,000 in B-rated bonds and $25,000 in a CD C. $25,000 in B-rated bonds and $29,000 in a CD D. $26,000 in B-rated bonds and $28,000 in a CD