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3 years ago

For the inverse variation equation xy=k, what is the constant of variation,k, when x = -3and y=-2

Mathematics

1 answer:

const2013 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

xy=k

Value of k ; when ; x = - 3 and y = - 2

Put x = - 3 and y = - 2 into the equation :

(-3)(-2) = k

-3 * - 2 = k

6 = k

The constant of variation k = 6

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What scale factor was used when going from the grey triangle to the yellow triangle

sertanlavr [38]

Answer:

Scale factor of 1/3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

#LearnwithBrainly

5 0

3 years ago

What is the volume of a regular pyramid having a base area of 24 inches and height of 6 inches

Anestetic [448]

Answer:

V= 48 in^2

Step-by-step explanation:

Formula

Since the base has a known area, we do not need the full volume formula. This formula is

B is the area of the base and h is the height measured from the top of the pyramid to the base meeting the base at right angles.

Givens

B = 24 in^2

h = 6 in

Solution

V = B * h / 3

V = 24 * 6/3

V= 48 in^2

6 0

1 year ago

Read 2 more answers

A first number plus twice a second number is 9. Twice the first number plus the second totals 21. Find the numbers

WITCHER [35]

Let x and y be the numbers;
We have x + 2y = 9 and 2x + y = 21;
Then, x = 9 - 2y;
Finally, 2(9-2y) + y = 21 ;
18 - 4y + y = 21;
18 - 3y = 21;
-3y = 3;
y = - 1;
x = 9 - 2× (-1);
x = 9 + 2 ;
x = 11;

7 0

3 years ago

2. In the diagram, m_XYZ = 115 • and mZWXY = 450

Sloan [31]

I think it’s 20 degrees or 70

3 0

3 years ago