What are the x-intercepts of the circle (x – 3)2 + (y – 4)2 = 24?
2 answers:
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Answer: 34 cm
Step-by-step explanation:
Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem (to one triangle)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between corners) and a and b are the other sides.
Replacing with the values given:
c^2 = 12^2 + 12^2
c^2 =144+144
c^2 = 288
c = √288
c = 16.97 cm = 17 cm (rounded)
The other diagonal has the exact same lenght (because the flag is a square)
So, we have to multiply the length of the ribbon by 2:
17 x2 = 34 cm
Feel free to ask for more if needed or if you did not understand something.
