The coordinates of the midpoint are (-6,3)
A^2 + b^2 = c^2
6^2 + 8^2 = c^2
36 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
√100 = c
10 = c
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Answer:
boys:girls:teachers
5 : 4 :1
Step-by-step explanation:
75 boys, 60 girls and 15 teachers
boys:girls:teachers
75 : 60 :15
Divide each term by 15
75 /15 : 60/15 :15/15
5 : 4 :1
Given: SR=12cm, QM=7.6cm, PS=8cm.
Area of parallelogram=base×height
=12×7.6=91.2cm2.
Area of parallelogram=base×height
⇒91.2=8×QN
⇒QN=891.2=11.4cm.
Since the surface is the top part of a sphere centred on the origin, the directions of steepest descent are any vector originating from the origin (0,0).
At (5,5), the direction would be dictated by the line joining (5,5) and the origin (0,0), i.e. along <5,5> or equivalently along <1,1>.
You can also go through vector calculus to arrive at the same result.