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4 years ago

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39)

2 answers:

4 0

To solve this problem you must apply the proccedure shown below:

1. The vertex i at (0, 36) and a focus at (0, 39), then you have:

a=36
a^2=1296

2. The directrix is:

y=a^2=c
c=39
y=1296/39
y=432/13

Therefore, the answer is the option D, which is: D. y=± 432/13

solniwko [45]4 years ago

4 0

Answer:

D. y=± 432/13

Step-by-step explanation:

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What is the slope of y=45x

Lapatulllka [165]

Answer:

45/1

Step-by-step explanation:

45x is the rate at which the line goes up

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3 years ago

Simplify each algebraic expression.

GREYUIT [131]

Answer:

$\huge\boxed{\sf-2x+28}\\\\\huge\boxed{\sf 10x-4}\\\\\huge\boxed{\sf 56-5x}\\\\\huge\boxed{\sf x-13}$

Step-by-step explanation:

$\sf 2x + 4(7-x) \\\\Resolving \ Parenthesis\\\\2x + 28-4x \\\\Combining\ like\ terms\\\\2x-4x +28\\\\-2x + 28\\\\\rule[225]{225}{2}$

$\sf \\12x-(4+2x)\\\\12x-4-2x\\\\Combining \ like \ terms\\\\12x-2x - 4\\\\10x-4 \\\\\rule[22]{225}{2} \\2(10-x)+3(12-x) \\\\Resolving \ Parenthesis\\\\20-2x + 36 -3x\\\\Combining \ like \ terms\\\\20+36 -2x-3x\\\\56 - 5x \\\\\rule[225]{225}{2}$

$\sf 7(x-1)-6(x+1)\\\\Resolving \ Parethesis\\\\7x-7-6x-6\\\\Combining \ like \ terms\\\\7x-6x-7-6\\\\x - 13\\\\\rule[225]{225}{2}$

Hope this helped!

~AnonymousHelper1807

3 0

3 years ago

Para encher 2/5 de uma piscina são necessários 60.000 litros de água. Qual é a capacidade dessa piscina?

natali 33 [55]

Answer:

A capacidade dessa piscina é de 150.000 litros de água.

Step-by-step explanation:

A capacidade da piscina é de x.

Para encher 2/5 de uma piscina são necessários 60.000 litros de água.

Isto implica que:

$\frac{2x}{5} = 60000$

$2x = 60000*5$

$x = \frac{60000*5}{2}$

$x = 150000$

A capacidade dessa piscina é de 150.000 litros de água.

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3 years ago

For positive test result, the number of those who did not lie and lie are 11 and 41, respectively. Those of the negative test re

vagabundo [1.1K]

P(subject lied | negative results) = 4/19

P(negative results | subject lied) = 8/49

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

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3 years ago

B>13/9 interval notation

BartSMP [9]

Interval Notation of b > 13/9 is [13/9, infinity)

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3 years ago