Mathematics, 12.06.2020 21:57 abdu374
Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
On a coordinate plane, 2 perpendicular lines are shown. Line P Q has points (a, b) and (c, d). Line P prime Q prime has points (negative b, a) and (negative d, c).
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is . This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
Answers: 1
Mathematics, 21.06.2019 17:30, allisonlillian
Select the quadratic that has root x = 8 and x = -5
Answers: 3
Mathematics, 21.06.2019 23:50, yarrito20011307
4. (10.03 mc) the equation of line cd is y = −2x − 2. write an equation of a line parallel to line cd in slope-intercept form that contains point (4, 5). (4 points) y = −2x + 13 y = negative 1 over 2 x + 7 y = negative 1 over 2 x + 3 − 2x − 3
Answers: 2
Mathematics, 22.06.2019 03:00, Samanthas6365
12 3 4 5 6 7 8 9 10 time remaining 42: 01 ryan gathered data about the age of the different dogs in his neighborhood and the length of their tails. which best describes the strength of the correlation, and what is true about the causation between the variables?
Answers: 2
Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° countercloc...
Mathematics, 09.11.2020 04:30
Mathematics, 09.11.2020 04:30
Mathematics, 09.11.2020 04:30
English, 09.11.2020 04:30