How to find right triangle with Pythagorean theorem

Answer:

x=2

Step-by-step explanation:

Just did the assignment

The given rational function, that is, (x² - 4 · x - 12) / (x-2), has no horizontal asymptotes but one vertical asymptotes at x = 2.

A rational function has a horizontal asymptote if and only if the limit exists for x tending to ±∞. Rational functions have a limit if and only if the grade of the denominator is equal to or greater than the grade of the numerator. A vertical asymptote exists for all values of x such that the denominator equals 0.

Based on these facts, we conclude that the given rational function has no horizontal asymptotes but one vertical asymptotes at x = 2.

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Answer:

2/3 pounds of lima beans

Step-by-step explanation:

2 divided by 3 = 2/3 = 2/3

Hope this helps!

Answer:

2/3 pounds (Option B)

Step-by-step explanation:

Using unitary method ,

3 families will receive = 2 pounds of lima beans.

(Dividing both the sides by 3)

⇒ [tex]\frac{3}{3}[/tex]  family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans

⇒ 1 family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans.

∴ Each family will receive 2/3 pounds of lima beans.

Answer:

Down

Step-by-step explanation:

The "parent function" is  y = |x|, which opens up.

Changing the sign to y = -|x| flips (reflects) the graph over the x-axis, so the new graph opens down.  Adding 9 shifts the graph up 9 units, but that does not change the way the graph opens.

See the attached image.

y = |x| purple

y = -|x| black

y = -|x| + 9 red

Answer:

SA = 56 sq mi

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

SA = 16 + 1/2(16)(5)

SA = 16 + 8(5)

SA = 16 + 40

Answer:

A. -1.8

Step-by-step explanation:

If x is the independent variable and y is the dependent variable, therefore constant of proportionality would be:

k = y/x

Using any pair of values from the table, we can find k. Let's use (3, -5.4):

k = y/x = -5.4/3

k = -1.8

Answer: the third option (3/6 > 5/12)

Step-by-step explanation:

process of elimination:

option one is incorrect because 1/2 = 3/6 (not 1/2 > 3/6)

option two is incorrect because again, 1/2 = 3/6

option four is incorrect because 3/6 > 5/12

Answer:

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8 (least to greatest)

Step-by-step explanation:

Answer:

I think that there are 15 basketball players.

Step-by-step explanation:

If there is a ratio of football to basketball players of 7:5, and there are 21 football players. i just divide 21 by 7 and get 3. so if we multiply the 5 in the ratio by 3 we get 15. so I think the answer is 15. if not then ignore my answer. if so the brainliest please?

Answer:

Step-by-step explanation:

n = nickels

d = dimes

q = quarters

1)  n + d + q = 39

n+d = q - 3

Translate to:  2)   n + d - q = -3

.05n + .1d + .25q = 6.7   amount of each coin times the number of coins must add to 6.7

Multiply both sides by 20...

3)  1n + 2d + 5q = 134

Combine 1) & 2)

n + d + q = 39

n + d  - q = -3

Add together

2n + 2d = 36

Divide by 2:

4)  n + d = 18

Combine 1) and 3)

n + d + q = 39         Multiply by -5 =>  -5n -5d -5q = -195

n + 2d + 5q = 134                              n + 2d + 5q = 134

Add together->                                 5)   -4n - 3d  = -61

Combine 4) and 5)

  n + d = 18   Multiply by 4 =>  4n + 4d = 72

-4n - 3d = 61                          -4n - 3d = -61

Add:                                               d = 11

11 dimes...

Plug that into 4)

n + 11 = 18

n = 18-11 = 7 nickels.

Plug that into 1.

n + d + q = 39

7 + 11 + q = 39

18 + q = 39

q = 39-18 = 21 quarters

21 quarters, 7 nickels, and 11 dimes.

21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7   Check.

Answer:

Step-by-step explanation:

okay so if the centimeter is 3 you would multiply it by 6 cm and that

18 and then mulitiply that by 12 and your answer is

216

Answer:

[tex]7\frac{7}{12}[/tex]

Step-by-step explanation:

Answer:

[tex] \huge \sf \underline { \orange{AnSwEr : }}[/tex]

~

Answer:

14 inches

Step-by-step explanation:

Since the rectangular prism has a square base, we know that the width and length are equal.

Using the formula for calculating the volume of a rectangular prism, we can set up an equation:

(width^2)*height = 980 cubic inches or

(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:

width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:

√width (inches) = √196 square inches = width = 14 inches

each side of the prism's base is 14 inches

Answer:

980 in

Step-by-step explanation:

Answer:

The null hypothesis is [tex]H_0: \mu = 13[/tex]

Step-by-step explanation:

Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).

This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:

[tex]H_0: \mu = 13[/tex]

Answer:

i think 648

Step-by-step explanation:

Area = Length times width

18 times 36 = 648

But It could be 3,240

18 times 36 times 5

Answer:

15.3

Step-by-step explanation:

Cos 32 = x/18

Cos 32 = 0.848048096

x/18 = 0.848048096

x = 15.3 (rounded)

Answer: 2*5^2-12

5 to the 2nd power is 25

2*25-12

2*25=50

50-12=38

the answer is C 38

hope this helps

Answer:

The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Step-by-step explanation:

Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:

517,517 = 100

211,211 = X

211,211 x 100 / 517,517 = X

21,121,100 / 517,517 = X

40.81 = X

Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Answer:

2%

Step-by-step explanation:

.4*.05=.02

Answer:

4.692 to 7.308

Step-by-step explanation:

Given :

n1 = 25 ; n2 = 20 ;

Mean x1 = $12 ; mean x2 = $6

Standard deviation, s1 = 3 ; s2 = 1

Confidence interval :

(x1 - x2) ± t*√(s1²/n1) + (s2²/n2)

x1 - x2 = (12 - 6) = 6

√(s1²/n1) + (s2²/n2) = √(3²/25) + (1²/20) = 0.640

Degree of freedom :

((s1²/n1) + (s2²/n2))² / (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

Numerator = 0.1681

Denominator = 0.0054 + 0.0001315 = 0.0055315

Degree of freedom = 0.1681 / 0.0055315 = 30.38 = 30

Tcritical at 0.05, df = 30 = 2.042272

Hence ;

6 ± 2.042272(0.640)

6 ± 1.30705408

Lower boundary = 6 - 1.30705408 = 4.69294592

Upper boundary = 6 + 1.30705408 = 7.30705408

(4.693 ; 7.307)

Answer: $27.50

Step-by-step explanation: So first off you would subtract the service fee from the total amount to get $110.00 then you would divide that by four to get $27.50 per ticket.

Answer:62

Step-by-step explanation:

Answer:

2,562

Step-by-step explanation:

8% of 4,200 is 366, 366×7=2,562

Hope This Helps!

Answer:

F(4) = 21

Step-by-step explanation:

[tex]F(4)=4(4)+5\\F(4)=16+5\\F(4)=21[/tex]

Answer:

21

Step-by-step explanation:

F(X) = 4x + 5

One is asked to find (F(4)), substitute (4) in place of (x) and solve,

F(4) = 4(4) + 5

= 16 + 5

= 21

Answer:

32 units squared

Step-by-step explanation:

Split up the figure into easy to find area parts. So, theres 2 triangles, and in the middle of those, you can make a square. And that would make the top part a large triangle! Now find the area of these

Large triangle: 1/2 (4)(10) = 20

Smallest triangle: 1/2(2)(2) = 2

Medium triangle: 1/2(6)(2) = 6

Square: 2*2 = 4

Now add them all up! 20+2+6+4 = 32 units squared!

Answer:

#1: x=8, #2: x=21, #3: x=9

Step-by-step explanation:

So, to solve each of these x's, we need to do two things:

Find the scale factor

Then scale for x.

So lets start off with the first one.

We have a side value fo 3.

In the scaled version, we have the same side with a value of 6.

To find the scale, divide the 6 by 3:

6/3

=

2

So our scale is 2.

Next, lets look at our value on the traingle we know, and solve for the unkown x. We know that on the orginal traingle, its 4. For the version thats 2 times bigger, its x

So to solve this, multiply the 4 by 2:

4*2

=

8

This is your x value for the first question.

Next we have the side value 12 for the trapezoid. For the one next to it, the trapezoid has the same side with a value of 18.

To find the scale, lets divide 18 by 12.

18/12

=

1.5

That is our scale factor.

In these trapezoids, the bottom value is orginally 14.

In the scaled version, which we know is 1.5 times bigger, we have x.

To solve for x, lets multiply the 14 by 1,5:

14*1.5

=

21

So we know our x is 21 for the second answer.

Finally we have the third question.

This one is opposite to the last ones, where the smaller value has the missing x value.

Here our top side value is 20.

On the scaled version it is 15.

Lets divide 15 by 20, instead of what we normally do. Which would have been 20 by 15:

15/20

=

.75

Now, with this scale factor, our x will be smaller than the known value. Looking at the side length, the orginal value is 12.

On the scaled side length that is 0.75 times as big, its x

So lets multiply 12 by 0.75:

12*0.75

=

9

So this is your last x value, for your third answer!

This might seem long and tedious, but its actually a simple way of thinking about it, and you may find that you can quickly do this in your head, instead of a shorter, more complex way.

Hope this helps!

Answer:

Step-by-step explanation:

20

The probability of red to small will be equal to 12 / 20.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

It is given that there are 20 blue numbers large are 17 and small are 3. Similarly, there are 20 red numbers large are 8 and small are 12.

The probability of getting a small red number will be calculated as below:-

Probability = Number of favorable outcomes / Number of sample

Number of favorable outcomes = 12

Number of samples = 20

Put the value in the formula above.

Probability = 12 / 20

Therefore, the probability of red to small will be equal to 12 / 20.

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