Tom walks 3.15 km to the park. He then walks a further 350 m to the shop.
2 answers:
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From given picture we can see that X is mid point of line PQ
So PQ=2PX
From given picture we can see that Y is mid point of line PR
So PR=2PY
Now consider triangles PRQ and PYX
Sides PQ and PX has same ratio as of sides PR and PY (as calculated above)
angle XPY= angle QPR (common angle)
Hence triangles PRQ and PYX are similar.
We know that ratio of the sides of similar triangles is always equal so we can write:
Plug the given values QR=8 and PQ=2PX
Hence final answer is XY = 4 units.
Answer: a) k >4.08
b) k = 4.08
c) k<4.08
Step-by-step explanation:
Since we have given that
a) For what values of k will the function have no zeros?
It mean it has no real zeroes i.e. Discriminant < 0
As we know that
Here, a =-3
b = 7
c = -k
So, it becomes,
b) For what values of k will the function have one zero?
It means it has one real root i.e equal roots.
So, in this case, D = 0
So, it becomes,
c) For what values of k will the function have two zeros?
It means it has two real roots.
In this case, D>0
So, it becomes,
Hence, a) k >4.08
b) k = 4.08
c) k<4.08