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3 years ago

The circle below is centered at the origin and has a radius of 5 what is it’s equation

Mathematics

2 answers:

eduard3 years ago

6 0

Answer:

x^2 + y^2 = 5^2

or x^2 +y^2 = 25

Step-by-step explanation:

The equation of a circle is usually written in the form

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

Where (h,k) is the center and r is the radius

The center is at the origin so (h,k) = (0,0) and the radius is 5 so r=5

x^2 + y^2 = 5^2

or x^2 +y^2 = 25

Lelechka [254]3 years ago

4 0

Answer:

x² + y² = 25

Step-by-step explanation:

(x - h)² + (y - k)² = r²

Center ( h⁰, k⁰)

radius = 5/r

(x - 0)² + (y - 0)² = 5² ⇒ x² + y² = 25

This will be your answer : x² + y² = 25

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Determine the number of terms n in each geometric series. 13) a1 = 0.75, r = 4, Sn =1023.75

Gnom [1K]

Answer:

Number of terms: n=6

Step-by-step explanation:

We are given:

a₁ = 0.75

r = 4

Sₙ = 1023.75

We need to find number of terms i.e n

The formula used will be: $S_n=\frac{a(r^n-1)}{r-1}$

Putting values and fining n

$S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096$

We know that $4^6= 4096$

$4^n=4^6$

Using Exponent rule: $a^n=a^b => n=b$

$n=6$

So, Number of terms: n=6

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Simple questions points!!! :) Will also give you brainliest Answer questions 3-6

olasank [31]

Answer:

3. aₙ = -9n +7

4. d = -2.4

5. a₆ = 45

6. aₙ = 133 + 4n

Step-by-step explanation:

Question 3.

a₁ = -2; aₙ = aₙ₋₁ - 9

The explicit rule for an arithmetic sequence is

aₙ = a₁ + d(n -1 )

d = aₙ - aₙ₋₁

aₙ = aₙ₋₁ - 9 Subtract aₙ₋₁ from each side

aₙ - aₙ₋₁ = -9

d = -9

For this sequence,

aₙ = -2 – 9(n - 1) Remove parentheses

aₙ = -2 - 9n + 9 Combine like terms

aₙ = -9n + 7

===============

Question 4

d = aₙ - aₙ₋₁

a₂ - a₁ = 6.2 – 8.6 = -2.4

a₃ - a₂ = 3.8 – 6.2 = -2.4, etc.

The common difference is

d = -2.4

===============

Question 5

aₙ = 8n – 3 Substitute the value of n

a₆ = 8×6 – 3

a₆ = 48 - 3

a₆ = 45

============

Question 6

a₁ = 137; d = 4

aₙ = a₁ + d(n -1 )

aₙ = 137 + 4(n -1 )

aₙ = 137 + 4n -4

aₙ = 133 + 4n

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3 years ago