Write the ordered pair that represents yz. Then find the magnitude of yz . y=14,-23 z=23,-14
2 answers:
Answer:
Ordered pair of yz is ( 9 , 9 ) and Magnitude of yz is 9√2 unit.
Step-by-step explanation:
Given ordered pair of y and z are ( 14 , -23 ) and ( 23 , -14 ) respectively
To find: Ordered pair of yz and magnitude of yz
To find order pair of yz we subtract ordered pair of y from z.
Ordered pair of yz = ( 23 - 14 , -14 - (-23) )
= ( 9 , -14 + 23 )
= ( 9 , 9 )
Magnitude of yz ,
=
=
=
Therefore, Ordered pair of yz is ( 9 , 9 ) and Magnitude of yz is 9√2 unit.
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Answer:
Length of the segment QS = 11.76 cm
Step-by-step explanation:
We are given with right angle triangle QRS
Angle S is 80 degree and RS = 2 cm
We need to find out QS
RS is adjacent to angle S, so we use cos formula
Plug in the angle and RS
Given cos(80) = 0.17
Multiply by QS on both sides
0.17 * QS = 2
Divide by 0.17 on both sides
QS= 11.76470588
Length of the segment QS = 11.76 cm