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masha68 [24]
2 years ago
12

Which expression gives the length of the transverse axis of the hyperbola

Mathematics
1 answer:
klio [65]2 years ago
7 0

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

F1 and F2 are the focii of the hyperbola.

Point P(x, y) is x units distant from F1 and y units distant from the other focus F2.

By the definition of a hyperbola,

"Difference between the distances of a point from the focii is always constant and equals to the measure of transverse axis."

Difference in the distances of point P from focii F1 and F2 = (x - y) units

This distance is equal to the length of the transverse axis = (x - y) units

Therefore, Option (B) will be the answer.

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Determine the total value of the merchandise using net realizable value. item quantity selling price commission doll 10 $7 $2 ho
NemiM [27]

Quantity of dolls and horses are 10 and 5 respectively .

Selling prices of dolls and horses are $7 and $ 9 respectively .

And the commission on them are $2 and $ 3 respectively .

So net price = 10*(7-2) + 5(9-3) = 10+5 + 5*6 = 50+30 = 80

So the total value of the merchandise using net realizable value is $ 80. Therefore out of the given options, correct option is the last option .

5 0
2 years ago
Read 2 more answers
The sum of 6 consecutive even numbers is <br> 270.<br> What is the second number in this sequence?
KonstantinChe [14]
Lets find all the numbers..

x (1st number)
x + 2 ( 2nd number)
x + 4 (3rd number)
x + 6 (4th number)
x + 8 (5th number)
x + 10 (6th number)

Now add all those expressions and set them equal to 270 because that is the total.

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 270
6x + 30 = 270
6x = 240
x = 40

Now we will substitute 40 for x in the expression of the second number.

x + 2
40 + 2
42

So the second number is 42

Hope this helps :)
4 0
2 years ago
Assume that 12 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random.
konstantin123 [22]

The formula C(n, r)= \frac{n!}{r!(n-r)!}, where r! is 1*2*3*...r

is the formula which gives us the total number of ways of forming groups of r objects, out of n objects.

for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.

-----------------------------------------------------------------------------------------------


Selecting 4 people out of 12 can be done in :

\displaystyle{C(12, 4)= \frac{12!}{4!8!}= \frac{12\cdot11\cdot10\cdot9\cdot8!}{4!8!}= \frac{12\cdot11\cdot10\cdot9}{4!}=11\cdot5\cdot9= 495       many ways.


All the possible groups of 4 people, where the husband and wife are included, can be done in C(10, 2) many ways, since we only calculate the possible choices of 2 out of 10 people, to complete the groups of 4.


\displaystyle{ C(10, 2)= \frac{10!}{2!8!}= \frac{10\cdot9}{2}=45


Thus, the 

<span>probability that both the husband and wife are hired is 45/495=0.09


Part 2)

The probability that one is hired and the other is not = 

P(husband hired, wife not hired) + P(wife hired, husband not hired)

these 2 are clearly equal, so it is enough to calculate one.


Consider the case : husband hired, wife not hired.

assuming the husband is hired, we have to calculate the possible groups of 3 that can be formed from 11-1 (the wife)=10 people.

this is 
</span>

\displaystyle{ C(10, 3)= \frac{10!}{3!7!}= \frac{10 \cdot9 \cdot8}{3\cdot2}=10\cdot3\cdot4=120


thus, 


P(husband hired, wife not hired)=120/495=0.24


thus, 

The probability that one is hired and the other is not = 

P(husband hired, wife not hired) + P(wife hired, husband not hired) =

0.24+0.24=0.48



Answer:


A) 0.09


B) 0.48

3 0
2 years ago
Luke’s soccer team won 12 games and lost 5 games. Select all the expressions that show the ratio of wins to losses. Asap plz
almond37 [142]

Answer:

We don't have any options to choose from, but here are some general ones:

12:5

12 / 5

41% of games Luke lost.

59% of games Luke won.

Step-by-step explanation:

4 0
2 years ago
if angle CDE is a straight angle, DE bisects angle GDH, angle GDE=(8x-1), angle EDH= (6x+15), and angle CDF=43 , find each measu
True [87]

Answer:

<GDE= 55 °      <EDH=57°

Step-by-step explanation:

Note:

When an angles is bisected, the inital angles is seperated into two congruent angles.

Diction: congruent means equal

8x-1=6x+15

+1 -6x

2x=14

x=7

insert the missing variable

8 times 7 equals 56, subtract 1, it equals 55

6 times 7 equals 42, plus 15, it equals 57

I hope this helps, have a great day!

3 0
2 years ago
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