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1 year ago

Is -5 2/3 the multiplicative inverse of 3/-17? PLEASE HELP!!

Mathematics

1 answer:

Ostrovityanka [42]1 year ago

3 0

Answer:

Yes

Step-by-step explanation:

Multiplicative Inverse of rational number:

When we multiply a rational number and its multiplicative inverse, we get 1

$\sf -5 \dfrac{2}{3}=\dfrac{-17}{3}$

Now,multiply this with (3/-17)

$\sf \dfrac{-17}{3}*\dfrac{3}{-17} = 1$

So, -5 2/3 is the multiplicatice inverse of 3/-17

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2 years ago

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Jo is 5cm taller than Kathy.Let j=jo height.Then? =kathys height.

xxMikexx [17]

Answer:

Kathy = J - 5 cm

Step-by-step explanation:

Jo = 5 + Kathy

Jo = J

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=> J = 5 + K

=> J - 5 = 5 - 5 + K

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So, Kathy's height is J - 5 cm

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3 years ago

A bag contains 5 blue marbles, 8 green marbles, and 11 red marbles. What is the probabilty of choosing a green marble?

meriva

Answer:

1/3

Step-by-step explanation:

You add the marbles up and you get 24, now divide by 8 and you get 3. Which is equal to a 1/3 chance of getting the green marble.

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3 years ago

Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *

Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

2c = 6

c = 6/2

c = 3

3.- Determine a

2a = 10

a = 10/2

a = 5

4.- Determine b using the Pythagorean theorem

a² = b² + c²

-Solve for b

b² = a² - c²

b² = 5² - 3²

b² = 25 - 9

b² = 16

b = 4

5.- Find the center (1, 2) From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

$\frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1$

$\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

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2 years ago

5•x+5 - (5x + 25)

sukhopar [10]

Ok, so you have your equation, 5·x+5-(5x+25).
First, do the prathases, so you have, 5x+5-5x-25.(5·x also means 5x)
Now, you need to combine like terms, and through that the xs cancel out, so you are left with -20 as you answer.

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2 years ago

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Is -5 2/3 the multiplicative inverse of 3/-17? ​PLEASE HELP!!

Is -5 2/3 the multiplicative inverse of 3/-17? PLEASE HELP!!