Answer:
a₈ = - 10935
Step-by-step explanation:
the nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = 5 and r = 
= 
= - 3 , then
a₈ = 5 × 
= 5 × - 2187 = - 10935
Answer:
A. A = B
Step-by-step explanation:
Given
Required
Which of the options is true
We start by simplifying
Permutation is calculated as follows
So.
0! = 1; So
Hence. B! = P!
<em>This implies that </em>
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Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
Connect the bdc letters together.
Answer:
1) x+5
(4)+5 =
9
2) 3x
3(4)
12
Step-by-step explanation:
