Solve for the missing side in the special right triangle.

Vertices are at (-7, 5) and (-1, 5) and foci are at (-9, 5) and (1, 5) of the hyperbola with equation quantity x plus 4 squared divided by 9 minus the quantity of y plus 3 squared divided by 16.

As per the given data the given equation is:

[tex]\\$$\frac{ (x+4)^2}{9} - \frac{(y-5)^2 }{16}=1$$[/tex]

The standard form for the equation of a hyperbola with center (h, k) is [tex]\frac{(x-h)^{2} }{a^{2} } - \frac{(y-k)^2}{b^{2} } =1[/tex]

Your hyperbola opens left/right, because it is of form x - y.

Comparing terms, we find that

h = -4, k = 5, a = 3, y = 4

In the general equation, the coordinates of the vertices are at [tex]$(h \pm a, k)$[/tex].

Thus, the vertices of your hyperbola are at (-7,5) and (-1,5).

The foci are at a distance c from the center, with coordinates [tex]$(\mathrm{h} \pm \mathrm{c}, \mathrm{k})$[/tex], where [tex]$c^2=a^2+b^2$[/tex]

[tex]c^2=9+16=25$[/tex], so c = 5.

The coordinates of the foci are (-9, 5) and (-1, 5).

The Figure below shows the graph of the hyperbola with its vertices and foci.(attached at the end of solution)

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Answer:

521 plus 521 is equal to 10000

The probability of choosing a trix bar then a crunch bar exists 8/45.

Mathematics' field of probability deals with numerical assessments of how likely an event is to occur.

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

Probability = Number of favorable outcome / Number of total outcome

Given,

Number of snicker bars = 2

Number of trix bars = 8

Number of crunch bars = 5

Total number of candy bars = 2 + 8 + 5 = 15

8 trix, so picking a trix would be 8/15

5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3

Probability of both: 8/15 x 1/3 = 8/45

Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.

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The probability of choosing a trix bar then a crunch bar exists 8/45.

Probability theory deals with numerical evaluations of the likelihood that an event will occur.

Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.

A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.

Probability = Number of favorable outcome / Number of total outcome

Given,

Number of snicker bars = 2

Number of trix bars = 8

Number of crunch bars = 5

Total number of candy bars = 2 + 8 + 5 = 15

8 trix, so picking a trix would be 8/15

5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3

Probability of both: 8/15 x 1/3 = 8/45

Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.

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The most probable prediction( according to biogeography theory of islands) for this situation would be continued colonization of large species population( due to balance between immigration and extinction of species) through time on the island.

A species is a unit of biodiversity as well as the fundamental classification and taxonomic rank of an organism in biology.

Given:

Consider a species that occupies a large, but fixed, number of islands.

The distribution of the species across all islands is maintained by a balance between local extinctions and local colonization events.

According to island biogeography theory the population of an island is maintained constant through time when the immigration rate of new species to the island and extinction rate of species in the island is constant.

In a model for the relationship between the fraction of islands occupied by species and time, if the number of new species immigrating to the island will be equal to the number of species that become extinct in the island species population and will thrive continuously through time( will never become extinct) as the island species population will be maintained due to the existence of a dynamic equilibrium of species in the island.

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Answer:

I believe its A

Step-by-step explanation:

There are 13 pounds of peanuts present in the mixture.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7. There are different types of equations like linear, quadratic, cubic, etc.

Let's consider Almonds be a and Peanuts be p.

from given conditions,

a + p = 20

and 5.95 a + 2.95 p = 4(20)

5.95 a + 2.95 p = 80

take, a = 20 - p

5.95 (20 - p) + 2.95 p = 80

119 - 5.95 p + 2.95 p =80

119 - 3 p = 80

3p = 39

p = 39/3

p = 13

Therefore, there are 13 pounds of peanuts present in the mixture.

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Answer:

The answer is "[tex]\bold{- \frac{19}{13} \ / hour}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

Calculating the difference of [tex]9 \frac{1}{4}\ and \ 4 \frac{1}{2}[/tex]  dividing the value by [tex]3 \frac{1}{4}[/tex]

[tex]\to 4 \frac{1}{2} - 9 \frac{1}{4}\\\\ \to \frac{9}{2} - \frac{37}{4}\\\\ \to \frac{18-37}{4} \\\\ \to -\frac{19}{4}\\\\\to -\frac{19}{4} \div \frac{13}{4}= -\frac{19}{4} \times \frac{4}{13} = -\frac{19}{13}\\[/tex]

Answer:

$260

Step-by-step explanation:

$273 - 5% = $260
5% commission = $13

Answer:

260

Step-by-step explanation:

273-5%=260

3rd one. The circle is on 7 and is going to the left.

Answer:

34 = 35

Step-by-step explanation:

34x35

Answer:

Martina can walk 1 1/4 miles in one hour.

Step-by-step explanation:

Find the reciprocal of 3/5 (by flipping the fraction)

5/3

Multiply 5/3 by 3/4

3/4(5/3)= 15/12= 1 1/4

Answer: ok so if it is ok im sorry but like how is it like is there supposed to be a number? im sorryyy i thught i had it before i saw the picture

Step-by-step explanation:

Answer:

A)82

b)16807

c)10

d)625

Step-by-step explanation:

a: 3^4 or 81

b 7^5. 16807

c 10^2 or 100

d 5^7 78125

The number of cups of serving that is possible in a two-liter bottle is 8.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 1 liter is equal to 4 cups.

Therefore, The number of cups serves possible in a two-liter bottle is,

= (2×4) cups.

= 8 cups.

So, 8 cups of servings are possible from a two-liter bottle.

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Answer:

6/25

Step-by-step explanation:

(3/5) / 2.5 = 6/25

Answer:

a：20 km

b：384

Step-by-step explanation:

a：

[tex] \frac{2.5}{ 8} = \frac{1}{x} [/tex]

[tex]x = 20[/tex]

b：

[tex] \frac{2.5}{8} = \frac{120}{y} [/tex]

[tex]y = 384[/tex]

Given:

The number is 2 by 7.

To find:

Whether 2 by 7 recurring decimal or terminating decimal.

Solution:

If all the prime factors of denominator value of a fraction is either 2 or 5 or both, then the fraction is terminating decimal.

If the prime factors of denominator value of a fraction is other than 2 or 5 , then the fraction is recurring decimal.

The given number is:

[tex]\dfrac{2}{7}[/tex].

The denominator value is 7 and prime factor of 7 is 7, which is different from 2 and 5.

Therefore, the number 2 by 7 is recurring decimal.

Answer:

5% Increase

Step-by-step explanation:

560 * 0.05 = 28

560 + 28 = 588

Answer: 5%

Step-by-step explanation:

Orig | 560 | 100

Change | 28 | x

new | 588 | n/a

560/28 = 100/x

1 x 5

5%

The missing code that can replace to assign the total of all values in purchase List to sum, is: REPEAT UNTIL (n > purchaseList.length)

The syntax for a REPEAT UNTIL loop in most programming languages is as follows:

REPEAT {

// code to be executed

} UNTIL (condition)

or

DO {

// code to be executed

} UNTIL (condition)

Looping is a programming construct that allows a certain block of code to be executed repeatedly. The two main types of loops are for loops and while loops.

A for loop is used to execute a block of code a specified number of times. It typically starts with a variable initialization, then a condition is checked, and if the condition is true, the code block inside the loop is executed, and then the variable is updated.

The missing code that can replace the empty parentheses in the REPEAT UNTIL statement to assign the total of all values in purchase List to sum, is:

REPEAT UNTIL (n > purchaseList.length)

This means that the loop will continue to execute until the value of n is greater than the length of the purchaseList. In each iteration, the value of purchaseList[n] is added to the sum, and then n is incremented by 1. So, this loop will iterate through all the elements in the purchaseList, adding each one to the sum, until it reaches the end of the list. This will give the total sum of all purchases made in the last month.

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Answer:

[tex]y\geq -2[/tex]

Step-by-step explanation:

Credit: Desmos

Answer:

1120

Step-by-step explanation:

Answer:

a. 24

Step-by-step explanation:

Rolling a number cube: 6 outcomes

tossing a coin: 2 outcomes

At this point, we have 6 x 2 = 12 outcomes, because each of the 6 numbers on the cube can each have a heads or tails outcome

Choosing card A or card B gives us 2 more outcomes for each of the 12 outcomes we have so far.

12 x 2 = 24

Step-by-step explanation:

The coordinates of the points are P1(2, 2) and P2(10, 2). The distance d between these two points are given by

[tex]d = \sqrt{ {(x\frac{}{2} - x\frac{}{1} ) }^{2} + ({y\frac{}{2} - y\frac{}{1}) }^{2} } \\ = \sqrt{ ({10 - 2})^{2} +( {2 - 2)}^{2}} \\ = 8[/tex]

Answer:

Using the cosines law

Step-by-step explanation:

So, we need to find the length of the other side, we will use the version of the Cosine Rule where a2 is the subject of the formula, which is given by, a2=b2+c2−2bccosA, Side a is the one we are trying to find. Sides band care the other two sides, and angle Ais the angle opposite side a. c2=a2+b2−2abcosC

Personal assets are the list of things which are owned by any person for the present or the future use such as house , saving accounts, Cash etc.

Therefore, the personal assets represent the valuable  items owned by any individual for present or the future use.

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Answer:the  pair of simultanous equations that model Andy's and Ron's ages are

3A-2R=6----Equation 1

R-A =2----Equation 2

Andy is 10 Years and Ron is  12 years  

Step-by-step explanation:

Andy's age is represented as A

and Ron';s age is represented as R

Now if Andy multiplies his own age by 3. He then subtracts twice Ron's age. ​The answer is 6 can be expressed mathematically as

3A-2R=6

And if Ron subtracts his age from Andy's age. ​The answer is −2  can be expressed as

R-A =2

Therefore the  pair of simultaneous equations that model Andy's and Ron's ages are

3A-2R=6----Equation 1

R-A =2----Equation 2

Solving becomes

3A-2R=6----Equation 1

R-A =2----Equation 2

Make R subject formulae in equation 2

R =2+A

Putting R =2+A in equation 1

3A-2(2+A)=6

3A -4-2A =6

A-4=6

A=6+4=10

From eqn 2,

R-A =2

R-10 =2

R=10+2=12

Andy is 10 Years and Ron is  12 years  

Answer:

  all positive numbers

Step-by-step explanation:

You want to know the domain of the log function.

The log function ln(x) is defined for all x > 0. A log function with any other base is similarly defined.

  log function domain: all positive numbers

A parent log function has a vertical asymptote at x=0, and an x-intercept at x=1. Its vertical scaling will depend on the base of the logarithm. Like any function, it can be translated and scaled horizontally and vertically.

__

Additional comment

In the field of complex numbers, the log function is defined for any non-zero number. For example, ln(-1) = πi.

The range is all real numbers.

Answer:

John starts with $12 dollars in his bank account, each day he spends $3.

Step-by-step explanation:

Intercept = 1

Equation - y = -(2/5)x + 1