Answer is -7
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Work Shown:
s_n = a_1*(1-r^n)/(1-r)
s_6 = a_1*(1-r^6)/(1-r)
s_6 = x*(1-(-3)^6)/(1-(-3))
s_6 = x*(1-729)/(1+3)
s_6 = x*(-728)/4
s_6 = x*(-182)
s_6 = -182x
-182x = s_6
-182x = 1274
x = 1274/(-182)
x = -7 is the first term of the geometric sequence
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Extra info:
The first six terms of this geometric sequence is
-7, 21, -63, 189, -567, 1701
those six terms add to
-7+21+(-63)+189+(-567)+1701 = 1274
which verifies we have the right answer.
Answer:
letter B po
Step-by-step explanation:
hope it helps
4+96=100 when you follow PEMDAS
-4x + y = 10 (subsitute y = 0)
-4x + 0 = 10 (remove 0)
-4x = 10 (divide both sides)
so solution is x = -5/2
Part A:
The distance between two points can be calculated through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Each of the point may take the 1st or the 2nd coordinates. Substituting the known values,
d = sqrt ((23 - 2)² + (3 - 24)²)
d = 21√2
d = 29.7
Part B:
We get the angle between the lines generated from points and the origin.
Angle 1: θ = tan⁻(3/23) = 7.43°
Angle 2: θ = tan⁻(24/2) = 85.24°
Subtracting the values,
Angle = 77.8°
Thus, the polar coordinate is (29.7, 77.8°).
