Answer:
{(3, 5), (2, 5), (3,8)}
Step-by-step explanation:
separate the x's & y's & put them in separate brackets
Answer:
3a-2
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Answer:
The answer is 100π.
Step-by-step explanation:
Since the diameter of the circle is 20mm, the <em>radius of the circle is 20/2 = 10mm.</em>
<em />
The <em>formula for area of a circle is π*r^2. </em>If we substitute r for 10, we get the final answer as 100π or about 314.16.
Answer:
VW = 4 cm
Step-by-step explanation:
Congruent chords are equidistant from the centre , so
VW = UV = 4 cm
The speed of the stream: v s = 1 mph
v - David`s speed in still water
( v - 1 ) t 1 = 3
( v + 1 ) t 2 = 3
t 1 + t 2 = 4
---------------------------
t 2 = 4 - t 1
3 = ( v - 1 ) * t 1
3 = ( v + 1 ) * ( 4 - t 1 )
-----------------------------
3 = v t 1 - t 1
+
3 = 4 v - v t 1 + 4 - t 1
------------------------------
6 = 4 v + 4 - 2 t 1
2 = 4 v - 2 t 1
2 t 1 = 4 v - 2 / : 2 ( divide both sides of equation by 2)
t 1 = 2 v - 1
t 2 = 5 - 2 v
------------------
3 = ( v - 1 ) * ( 2 v - 1 )
3 = 2 v² - 3 v + 1
2 v² - 3 v - 2 = 0
v 1/2 = 3+/- √(9 + 16 ) / 4 = (3 + 5)/4 = 8/4 = 2 ( other solution is negative )
Answer: David`s speed in still water is 2 miles per hour.