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BartSMP [9]
3 years ago
9

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

Mathematics
2 answers:
borishaifa [10]3 years ago
4 0
To solve this problem you must apply the proccedure shown below:

 1. The vertex i at <span>(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
 </span>y=432/13<span> 

 Therefore, the answer is the option D, which is: </span><span>D. y=± 432/13</span>
solniwko [45]3 years ago
4 0

Answer:

D. y=± 432/13

Step-by-step explanation:

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2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
nika2105 [10]

Answer:

x<=-1/2

Step-by-step explanation:

An inequality is a mathematical relationship that compares two unequal numbers using the number line

To solve the inequality 2x – 6 ≥ 6(x – 2) + 8

We first simplify both sides of the inequality

2x-6≥6x-12+8

2x-6≥6x-4

Add 6 to both sides

2x≥6x+2

-4x≥2

x≥2/-4

Sign changes when we divide both sides of equation by a negative sign

x<=-1/2

Therefore x is less than or equal to -1/2 on the number line

5 0
2 years ago
Can anyone help me on this please?
rjkz [21]
\dfrac{4a^3b^2+2a^2b^2+3ab}{ab}=\dfrac{4a^3b^2}{ab}+\dfrac{2a^2b^2}{ab}+\dfrac{3ab}{ab}=4a^2b+2ab+3
8 0
2 years ago
Explain: What is the solution to this system of equations? <br><br> 2x+y=20 <br> 6x-5y=12
bazaltina [42]

Answer:

solution set is (x,y) = (7,6)

Step-by-step explanation:

solving by substitution method

2x +y=20--------------1

6x-5y=12---------------2

from equation 1, solve for y

2x+y=20

y= 20-2x------equation 3

adding value of y in equation 2

6x-5y=12

6x-5(20-2x)=12

6x-100+10x=12

16x= 12+100

16x= 112

x= 112/16

x=7

adding value of x in equation 3

y= 20-2x

y= 20- 2(7)

y=20-14

y=6

so solution set (x,y) = (7,6)

3 0
3 years ago
HEEEEELLLLPPP ME!!!!!!!!!!!!!!!!!!!!<br> Evaluate u + xy, for u = 2, x = 9, and y = 6.
labwork [276]
Replace u,x and y withyour values
u+xy=2+9*6=2+54=56
5 0
3 years ago
Read 2 more answers
What is the answer to number 5&amp;6?
Ierofanga [76]
This is the answer I hope this will help you

5 0
3 years ago
Read 2 more answers
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