3. Which point lies inside the circle with equation (x - 2)2 + (y + 3)2 = 4?
2 answers:
Answer:
C (2,-4)
Step-by-step explanation:
You could graph the circle and then graph the points and see...
Or you could them in and see which point makes the left hand less than 4?
So if you wanted to draw it is a circle with center (2,-3) and radius 2.
If you want to do it the other way:
Plug in time!
(2,-5)?
(2-2)^2+(-5+3)^2
0^2+(-2)^2
0+4=4 so not this one
(2,-4)?
(2-2)^2+(-4+3)^2
0+1
1<4 so this one (you can also see this in the drawing:
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Answer:
the Pythagorean theorem states: a^2 + b^2 = c^2
1) in this case a=18 and b1=25
18^2 + 25^2 = c1^2
324 + 625 = c1^2
949 = c1^2
√949 = c1
cca. 30.8 = c1
2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15
in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1
now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2
3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20
same thing as number 2, final answer cca. 26.9 = c3
