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2 years ago

(x + 7) + (y + 4)2 = 16 Center: Radius:

Mathematics

2 answers:

tigry1 [53]2 years ago

6 0

Answer:

Center: (-7, -4)

radius = 4

Explanation:

Equation: (x + 7)² + (y + 4)² = 16

Circle formula:

(x - h)² + (y - k)² = r²

(h, k) denotes the center of the circle, "r is radius"

Rewrite the following equation in standard form:

(x - (-7))² + (y - (-4))² = 4²

From this identify:

h = -7, k = -4, radius = 4

gladu [14]2 years ago

5 0

General equation

(x-h)²+(y-k)²=r²

(x+7)²+(y+4)²=16
(x+7)²+(y+4)²=4²

Center=(-7,-4)

Radius=4

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3 years ago

The blades of a windmill turn on an axis that is 40 feet from the ground. The blades are 15 feet long and complete 3 rotations e

astraxan [27]

Answer:

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Step-by-step explanation:

In this problem the amplitude of the sinusoidal function is given by the length of the blades.

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3 years ago

Read 2 more answers

The sum of the first two terms of an infinite GP is 6 and each term is 5 times the sum of the succeeding termsthen the second te

kozerog [31]

Answer:

$\dfrac{6}{7}$ .

Step-by-step explanation:

It is given that the sum of first two terms of an infinite GP is 6.

nth term of a GP is

$a_n=ar^{n-1}$

$a+ar=6$ ...(1)

Each term is 5 times the sum of the succeeding terms.

$a_n=5(a_{n+1}+a_{n+2}+...+\infty)$

$ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)$

$ar^{n-1}=5ar^n(1+r+r^2+...+\infty)$

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$r^{n-1}=5r^n(\dfrac{1}{1-r})$ $[\text{Sum of infinite GP}=\dfrac{a}{1-r}]$

$\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}$

$\dfrac{1}{r}=\dfrac{5}{1-r}$

$1-r=5r$

$1=6r$

$\dfrac{1}{6}=r$

The common ratio is 1/6.

Put r=1/6 in (1).

$a+a(\dfrac{1}{6})=6$

$6a+a=36$

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$a=\dfrac{36}{7}$

Second term $ar=\dfrac{36}{7}\times \dfrac{1}{6}=\dfrac{6}{7}$

Therefore, the second term is $\dfrac{6}{7}$ .

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irina1246 [14]

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Step-by-step explanation:

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