2 years ago

Find the center and radius of the circle whose equation is given below: x2 + (y − 3)2 = 16.

Mathematics

1 answer:

Lana71 [14]2 years ago

7 0

Answer:The circle equation image

image

Compare to the standard form of circle image

Where (h,k ) is center and r is radius of circle.

Center (0,3) radius = 4.

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Solve for M? pls help

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3 years ago

- 11 = a/6 need help with this ?

JulijaS [17]

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Xeno

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2 years ago

Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

GREYUIT [131]

$a_1=3$
$a_2=-4a_1$
$a_3=-4a_2=(-4)^2a_1$
$\cdots$
$a_6=-4a_5=\cdots=(-4)^5a_1$

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6 0

3 years ago

IN (3)

svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) $y =2x +5$

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using:

$(x_1,y_1) = (2,9)$

$(x_1,y_1) = (10,25)$

So, we have:

$m = \frac{25 - 9}{10 - 2}$

$m = \frac{16}{8}$

$m=2$

The equation is calculated using:

$y - y_1 =m(x - x_1)$

Using:

$(x_1,y_1) = (6,17)$

We have:

$y - 17 =2(x - 6)$

$y - 17 =2x - 12$

Make y the subject

$y =2x - 12+17$

$y =2x +5$

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

$y =2x +5$

8 0

2 years ago

What is the product of 1/2 times 2/3 times 3/4 .... times 1999/2000?

Phantasy [73]

1/2 * 2/3 *3/4 * ... * 1999/2000
Observe, every numerator cancels with denominator
that leaves 1/2000

3 0

2 years ago