Answer:
Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
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The formula for diameter is:
circumference/pi (3.14)
If the circumference is 443, we can divide that by pi.
The answer would then be choice b (141).
W is in the lower left corner located at (-1,-2)
W' is in the upper left corner located at (-2,1)
Notice that the original Y value (-2) became the new X value (-2) and the original X value (-1) is the inverse of the new Y value (1).
If you look at the coordinates of the other two pints you would see it was the same transformation.
When the X and Y coordinates switch like this, it is a 90 degree clockwise rotation around the origin.