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marissa [1.9K]
3 years ago
9

Write the standard equation of a circle with a center (2,-8) and radius 9

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

The standard equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have:

(2, -8) → h = 2, k = -8

r = 9

Substitute:

(x-2)^2+(y-(-8))^2=9^2\\\\(x-2)^2+(y+8)^2=81

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Write a rule for the nth term of the geometric sequence for which a1=−6 and a5=−486
patriot [66]

The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)

<h3>The nth term of a geometric sequence</h3>

First term, a1 = -6

Fifth term, a5 = -486

a5 = ar^(n - 1)

-486 = -6 × r^(5-1)

-486 = -6r⁴

r⁴ = -486 / 6

r⁴ = 81

r = 4√81

r = 3

Geometric rule:

nth term = ar^(n-1)

nth term = -6 × 3^(n - 1)

Learn more about geometric sequence:

brainly.com/question/24643676

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1 year ago
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2 years ago
A cylindrical tank has a height of 150cm and a diameter of 90cm. how much water can it hold?
Katen [24]
I hope this helps you

3 0
3 years ago
Which function is represented by this graph?
Reika [66]

The answer would be b. THis is becuse the second choice has less than or equal to and just less than signs. This is what is shown on the graph. The open circles are the less than sides, and the closed circles mean less than or equal to. Hope this helps.

7 0
2 years ago
Help!!! Find the surface area of the cube shown below
ivanzaharov [21]

Answer:

The answer to your question is 8/3 u²

Step-by-step explanation:

Data

length of the side = 2/3

Surface area = ?

Process

1.- Calculate the area of one face

Area = side x side

-Substitution

Area = 2/3 x 2/3

-Result

Area = 4/9

2.- Calculate the area of the cube (a cube has 6 faces)

Surface area = 4/9 x 6

                     = 24/9

-Simplification

Surface area = 8/3 u²

3 0
3 years ago
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