Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. N=4; i and 4i are zeros; f(-1)=102

The reflective Property of Congruence states that any figure is congruent with itself, therefore line LR ≅ line RL and ∠CBA ≅ ∠ABC.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

Reflexive Property of Congruence said that an angle line segment or any shape is congruent with itself.

For example, a line segment with a length of 5 meters will be the same as another line with 5 meters or a copy of that line so both will be congruent.

Line LR and RL are the same in length thus line LR ≅ line RL.

Angle CBA and angle ABC are the same thus ∠CBA ≅ ∠ABC.

Hence "The reflective Property of Congruence states that any figure is congruent with itself, therefore line LR ≅ line RL and ∠CBA ≅ ∠ABC".

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Answer:

w=-20

Step-by-step explanation:

-w/5+9=13

-w/5=-1/5w

-1/5w+9=13

Subtract 9 on both side

Multiply both sides by -5/1

w=-20

Answer: 3/24 or 1/8 of the pizza

Step-by-step explanation:..

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{18.2}\\ a=\stackrel{adjacent}{6.7}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{18.2^2 - 6.7^2}=b\implies \sqrt{286.35}=b\implies 16.92\approx b[/tex]

Answer:

24.03

Step-by-step explanation:

We know  that the formula is pie squared times radius but the radius is half of the diameter but you can also do pie times diameter and get the same answer.

Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

The area of the large square = 9/4 square inches

There is a total of 25 small equally sized squares inside the large square.

The shaded portion given contains 4 such small equally-sized squares. This shaded portion has an area of 9/25 square inches.

We will first find the area of one small sized square and then will use it to find the area of the large square as the large square is made of 25 such small squares.

That is, area of 4 small squares = 9/25

So area of one small square = Area of 4 small squares/ 4

                                               = (9/25)/4

                                               = 9/(25 x 4)

                                               = 9/100 square inches

Now to find the area of the large square, multiply the area of one small square with the total number of small squares contained in the large square.

That is, Area of the large square = (9/100) x 25

                                                      = 9/4 square inches

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Answer: 1/2x - 7

Step-by-step explanation:

1/2x represents half of Van's stamp collection and Rose has 7 less than that.

'less than' is telling you to subtract, so the answer is 1/2x - 7

Answer: 1/2x - 7

Step-by-step explanation:

1/2x represents half of Van's stamp collection and Rose has 7 less than that.

'less than' is telling you to subtract, so the answer is 1/2x - 7

yuckyew DID THIS! NOT ME!

I can help you with this equation, if you type it out correctly :). The input you made doesn´t make sense.

Answer: [tex]v=6, w=15[/tex]

Step-by-step explanation:

The pair of alternate interior angles are congruent, so [tex]5v=2w \implies 10w=25v[/tex].

The consecutive exterior angles are supplementary, so

[tex]10w+5v=180\\\\25v+5v=180\\\\\\30v=180\\\\v=6\\\\\implies w=2.5(6)=15[/tex]

The three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

In the question ,

it is given that

Ari walked a distance of 22 miles with speed of 2 miles per hour .

Beth walked a distance of 1 mile with the speed of 1 mile per hour.

Cindy walked for the time 1 hour and 21 minutes .

converting 21 minutes to hours , we get

= 1 hr 21 min

= 1+21/60

= 27/20

= 1.35 hours     ....(i)

time required for Ari to walk 22 miles with speed of 2 miles per hour is

time = distance/speed

time = 22/2 = 11 hours         ...(ii)

time required for Beth to walk 1 miles with speed of 1 miles per hour is

time = 1/1 = 1 hours        ....(iii)

From equation (i) , (ii) and (iii) ,

the order of the time they spent walking from least to greatest time is

1 hours < 1.35 hours < 11 hours

Therefore , the three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

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Answer:

50.40 cm2

Step-by-step explanation:

Area of the polygon AFGBH = Area of ∆ACF + Area of rectangle FCEG + Area of ∆GEB + Area of ∆ABH

= 3.6 cm2 + 4.32 cm2 + 21.6 cm2 + 6.48 cm2 + 14.4 cm2

= 50.40 cm2

Hence, the required area = 50.40 cm2.

Answer:

[tex]f(x)=4(3)^x[/tex]

Step-by-step explanation:

Let [tex]f(x)=ab^x[/tex].

Then,

[tex]ab^{-2}=\frac{4}{9} \\ \\ ab^3=108 \\ \\ \frac{ab^3}{ab^{-2}}=\frac{108}{4/9} \implies b^5=243 \implies b=3 \\ \\ \therefore a(3)^3=108 \\ \\ a=4 \\ \\ \therefore f(x)=4(3)^x[/tex]

When we solve the linear equation for y, we will get:

8*x/(3*a - 9) = y

That is the solution for the variable y.

Here we have the linear equation:

9*(x + y) = 3*a*y

Where x, y, and a are variables.

We want to solve this linear equation for y, this means that we need to isolate y in one side of the equation, to do so, let's start by expanding the left side:

9*(x + y) = 3*a*y

9*x + 9*y = 3*a*y

Now we move all the terms with y to the right side.

8x = 3*a*y - 9*y = (3*a - 9)*y

Now we divide both sides by 3*a - 9 to get:

8*x/(3*a - 9) = y

That is the equation solved for y.

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The complete details on the table are

Shape:   Length  Height  Area of 1   Number   Total area

Square       12          12          144            1                144

Triangle      12          15          90             4              360

The surface area is 504 square inches

The square prism represents the given parameter

On the figure, we have the following highlights:

Shape: Square

Also, we have

Shape: Triangle

This means that

Area of 1 square = Base length * Height

Area of 1 square = 12 inches * 12 inches

Area of 1 square = 144 square inches

So, the area of all squares in the figure is

Area of all squares = 1 * 144 square inches

Area of all squares = 144 square inches

Also, we have

Area of 1 triangle = 0.5 * Base length * Height

Area of 1 triangle = 0.5 * 12 inches * 15 inches

Area of 1 triangle = 90 square inches

So, the area of all triangles in the figure is

Area of all triangles = 4 * 90 square inches

Area of all triangles = 360 square inches

The surface area of the figure is

Surface area = Area of all triangles + Area of all squares

This gives

Surface area = 360 square inches + 144 square inches

Evaluate

Surface area = 504 square inches

Hence, the surface area of the prism is  504 square inches

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The number of children is 123 and the number of adults is 150 for that day.

According to the question,

We have the following information:

273 people used the public swimming pool.

Price for children = $1.25

Price for adults = $2.50

The total amount received = $528.75

Now, let's take the number of children to be x and the number of adults to be y on that day.

So, we have the following expression:

x + y = 273

x = (273-y) .... (1)

1.25x + 2.50y = 528.75

Now, putting the value of x from equation 1:

1.25(273-y) + 2.50y = 528.75

341.25 - 1.25y + 2.50y = 528.75

341.25 + 1.25y = 528.75

1.25y = 528.75-341.25

1.25y = 187.5

y = 187.5/1.25

y = 150

Now, putting this value of y in equation 1, we will find the value of x:

x = 273-y

x = 273-150

x = 123

Hence, the number of children is 123 and the number of adults is 150 on that particular day.

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The diagram prove that  m ║n by the consecutive interior angles converse.

The diagram is to prove line m is parallel to line n.

Therefore,

m ║ n

Hence,

m∠1 = 115°, m∠2  = 65° is given.

m∠1 + m∠2 = m∠1 + m∠2 follows the reflexive property of equality.

The reflexive property of equality means that anything is equal to itself

m∠1 + m∠2 = 115° + 65° is the substitution property of equality

Supplementary angles add up to 180 degrees.

m∠1 + m∠2 = 180 is the definition of supplementary angles

∠1 and ∠2 are supplementary when simplify

m ║ n by consecutive interior angles converse.

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Answer:

c

Step-by-step explanation:

because you do 12 times 9 minus 100 wich is 125 so yeah

Answer:

what was one survival event you experienced

Answer:

change = $33

Step-by-step explanation:

ndiba wants to buy a wagon that costs $217. how much change does he receive if he gives the cashier $250?

250 - 217 = change

change = $33

{assuming no sales tax]

690 ÷ 3 = 230

230 × 4 = 960

a whale will go 960 meters

Answer:

Maggie did not combine like terms correctly when she subtracted 7x from both sides of the equation. Here is a correct solution:

4x + 2 = 7x - 25

-3x + 2 = -25

-3x = -27, so x = 9, not -9

The selling price of the car is 77,000.

First, let's define what a selling price is.

The selling price is the price the customer pays to purchase the good.

Selling price = Cost price – (100% Loss)/100

We are told that the car cost 70,000 and that 17,500 was lost (12%) in repairs and painting.

The car's total cost is equal to 70,000 + 17,500 = 87,500.

So, the car's cost price is 87,500.

Selling price = 100/12/100 x cost price

= 100/12/100 x 87,500

= 0.88 x 87,500

= 77,000

Consequently, the car is being sold for $77,000.

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Answer:32000 - 25000 =7000 increase percentage = increase amount

Step-by-step explanation:

To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb.

To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb. Males had pulse rates with a mean of 69.6 beats per minute and a standard deviation of 11.3 beats per minute, according to Data Set 1 "Body Data" in Appendix B.

A limit exists a specific value to which a function approaches. Estimating a limit usually means finding what value y exists as x approaches a certain number.

Therefore, the correct answer is option A. No, because it is below the lower limit separating value.

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Answer:

2x + 7y

Step-by-step explanation:

first we need to align the sample sympols

like this

3x -x + 5y + 2y

then you can easily calculate

Answer:

2x+7y

Step-by-step explanation:

3x-×=2x, 5y+2y=7y

2x+7y

The following banking transaction completed will appear in the register as follows:

DATE         COMPUTATION                    BALANCE ($)

April 16    145.00                                       145.00

April 18    145.00-65.34=79.66                79.66

April 23   79.66+(9.76)(35)=421.26          421.26

April 24   421.26-(61.32)(1.04)=357.49     357.49

Any money that transfers into or out of your bank account is considered a bank transaction. Cash withdrawals and deposits, cheques, internet payments, debit card charges, wire transfers, and loan payments are all examples of bank transactions.

In most contexts, the term "register" refers to the process of documenting an event, transaction, name, or other information, or an accumulation of recorded data, often comprising historical events, transactions, names, or other information. Alternatively, the phrase can refer to a record of all debit account charges.

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Answer:

[tex] ( - 6) {}^{4} [/tex]

Step-by-step explanation:

-6 is being multiplied repeatedly 4 times so

[tex]( - 6) {}^{4} [/tex]