Which operation is NOT closed for polynomials?
A) add a trinomial to a trinomial
B) divide a binomial by a trinomial
C) multiply a binomial by a binomial
D) subtract a binomial from a trinomial

Given

AB  and  CD  intersect

AC,  CB,  BD  and  AD  are congruent.

Prove that AB  is the bisector of ∠CAD and ray  CD  is the bisector of ∠ACB.

and AB  and  CD  are perpendicular.

To proof

Bisector

A bisector is that which cut an angle in two equal parts.

In ΔACB and ΔADB

AD = AC  ( Given )

AB = AB   ( common )

BC = DB  ( Given )

by SSS congurence property

we have

ΔACB ≅ΔADB

∠CAB =∠ DAB

∠CBA = ∠DBA

( By corresponding sides of the congurent triangle )

Thus AB is the bisector of the ∠CAD.

InΔ DAC and ΔDBC

AD = DB (Given)

AC = CB  ( Given )

CD = CD (common)

By SSS congurence property

ΔDAC≅ Δ DBC

∠  ACD =∠ BCD

∠ADC =∠BDC

( By corresponding sides of the congurent triangle )

Therefore CD is the bisector of the CAD.

In ΔBOC andΔ BOD

BO = BO ( Common )

∠BCO = ∠BDO

( As prove above ΔACB ≅ΔADB

Thus ∠ACB = ∠ADB by corresponding sides of the congurent triangle , CD is a bisector

∠BCO = ∠BDO )

 CB = DB ( given )

by SAS congurence property

ΔBOC ≅ ΔBOD

∠BOC =∠ BOD

∠BOC +∠ BOD = 180 °( Linear pair )

2∠ BOC = 180°

∠BOC = 90°

∠BOC =∠ BOD = 90°

also

In ΔCOA and ΔAOD

AO = AO ( Common )

∠ACO =∠ ADO

(  As prove above ΔACB ≅ΔADB Thus ACB = ADB by corresponding sides of congurent triangle ,CD is a bisector

thus  ∠ACO = ∠ADO )

AC =AD ( given )

by SAS congurence property

Δ COA ≅ ΔAOD

∠AOC = ∠AOD

( By corresponding angle of corresponding sides )

∠AOC + ∠AOD = 180°

2∠ AOC = 180°   ( Linear pair )

∠AOC = 90°

∠AOC = ∠AOD = 90 °

Thus AB  and  CD  are perpendicular.

Hence proved

You can use subtraction to figure out how many numbers there are from one endpoint to another. For example, in the set {1,2,3,4,5} we see 5 values. Subtract the large endpoint from the smaller and we get 5-1 = 4, then add 1 back on to get 4+1 = 5. The formula is a-b+1 where a > b.

Here's another example: {8,9,10}. Clearly we see 3 values. Using the subtraction rule mentioned above, we get a-b+1 = 10-8+1 = 2+1 = 3. This method is preferred if you have a tons of values you don't want to count out one at a time.

Such as this example {580, 581, ...., 993, 994}. We have a-b+1 = 994-580+1 = 415 meaning there are 415 items in the set {580, 581, ..., 993, 994}

399 because k^2 is 81 and multiply that by 5, you get 405 and subtract 6 to get 399

Answer,

So, basicly they are asking you to imput, "9" for where the letter "K" is.

Let's do that,

5 * 9^2 - 6

Now we will simplify 9^2,

9 x 9 = 81

Simplify,

5 x 81 = 405

Now, subtract

405 - 6 = 399

$50.00 monthly +195.00 along monthly bill

585÷3 +50.00 so 245.00 month give for 3 months

Answer:

$245

Step-by-step explanation:

His past due bill is 585 and he his made arrangements to pay in three months, to get how much he is to pay per month= 585/3= 195

Normal monthly bill=50

To satisfy the monthly arrangements and current monthly bill, he will need to pay= 195 +50 = $245 each month for the next 3 months.

Answer:

2.66 miles

Step-by-step explanation:

Divide the number of yards by 1760 to find the number of miles.

4680/1760 = 2.6590909...

Answer: 2.66 miles

Hey there!

Answer :-

The answer is -0.4

Step-by-step explanation :-

... 2k + 9 = 7 - 3k

... 5k + 9 = 7

... 5k = -2

... k = -2/5

... k = -0.4

Hope my answer helps!!

Answer:

[tex]x\leq 22[/tex]

Step-by-step explanation:

In the attachment!

Let a be an apple, b be a baseball, p be a pineapple and s be a shoe.

Then, from the balance, we model these equations:

p + b = s     ----- (1)

2s = 4a

Divide both sides by 2.

s = 2a

Substitute in (1), we get,

p + b = 2a   ----- (2)

Also,

p = a + b   -----  (3)

Substitute the above in (2), we get,

(a + b) + b = 2a

a + 2b = 2a

Subtract a from both sides.

a = 2b

Substitute in (3), we get,

p = 2b + b = 3b

Hence, 3 baseballs equal one pineapple.

Answer:

Ohm's Law is E = I*R; the version needed to find resistance is R = E / I  (answer B)

Step-by-step explanation:

For this case we want to apply Ohm's Law to find resistance.

By definition, Ohm's Law states that:

[tex]E = I * R\\[/tex]

Where:

E: Voltage

I: Current

R: Resistance

Clearing the Resistance we have to:

[tex]R = \frac{E}{I}\\[/tex]

Answer:

The Resistance is given by: [tex]R = \frac{E}{I}\\[/tex]

Option B

the answer is the last one.

Final answer:

To make as many pillowcases as Hasan can with 18 3/4 yards of fabric, we divide the total amount of fabric by the amount needed for one pillowcase and then find the remainder.

Explanation:

To find out how many pillowcases Hasan can make, we need to divide the total amount of fabric he has (18 3/4 yards) by the amount of fabric needed to make one pillowcase (3 1/6 yards).

First, let's convert 18 3/4 yards to an improper fraction: 18 3/4 = 75/4.

Next, let's convert 3 1/6 yards to an improper fraction: 3 1/6 = 19/6.

Now, we can divide 75/4 by 19/6 using the division of fractions:  (75/4) ÷ (19/6) = (75/4) x (6/19) = 450/76 = 75/19.

So Hasan can make 75/19 pillowcases. To find out how many yards of fabric will be left over, we need to subtract the amount used for the pillowcases from the total amount of fabric. Let's multiply the number of pillowcases (75/19) by the amount of fabric used per pillowcase (3 1/6 yards): (75/19) x (19/6) = 75/6 = 12 3/6 yards.

Therefore, Hasan will have 12 3/6 yards of fabric left over.

Answer:

Option b) A credit card balance

Step-by-step explanation:

The credit card balance shows the amount you owe to the bank for purchases using credit card.

Credit card is meant for purchases without paying money actualy and after a fixed period paying to the bank full amount outstanding.

Periodically, all credit card transactions will be listed and sent to the customer with a due date within which the amount is to be paid.

IF amount is not paid within due date, a penalty will be charged besides interest for the delay.

Thus credit card balance is a liability since it is the amount due or amount outstanding to be paid to the bank within a certain period.  This can be treated as current liability

Answer:

The answer is B

Step-by-step explanation:

I just took the test and got 100%

four point thirdly two

(0,2) Usually it is where they intersect on the graph. Hope this helps!

Answer: (0, 2)

Step-by-step explanation:

On Cartesian plane, when two lines drawn by using system of linear equations are intersect at a point , then that point is known as the solution of the system of the two linear equations .

In the given graph , the two lines are intersecting at (0,2) then the solution of the system of linear equations.

Hence, the solution to the system of linear equations = (0,2).

The error is in Step 3 as you are dividing a negative number by a positive number so the answer should be negative. In this case, the answer is somehow positive so, Step 3 is wrong. Hope I could help!

Substituting [tex]\( v = -5 \)[/tex] into the polynomial yields -650, not zero. Thus, [tex]\( v + 5 \)[/tex] is not a factor. Answer: B. No.

To determine whether [tex]\( v + 5 \)[/tex] is a factor of [tex]\( v^4 + 16v^3 + 18v^2 - 725 \)[/tex], we can use the Factor Theorem. According to the Factor Theorem, if [tex]\( v + 5 \)[/tex] is a factor of the polynomial, then [tex]\( v = -5 \)[/tex] must be a root (or zero) of the polynomial.

Step 1: Substitute [tex]\( v = -5 \)[/tex] into the polynomial.

[tex]\[ (-5)^4 + 16(-5)^3 + 18(-5)^2 - 725 \][/tex]

Step 2: Calculate the value.

[tex]\[ 625 - 2000 + 450 - 725 \][/tex]

[tex]\[ = -650 \][/tex]

Since the value is not zero, [tex]\( v + 5 \)[/tex] is not a factor of [tex]\( v^4 + 16v^3 + 18v^2 - 725 \).[/tex]

So, the correct answer is:

B. No

Answer:

Step-by-step explanation:

8.00 to 10.00 yes the relationship is proportional because it is the eniquality between two ratios 8.00 and 10.00

Final answer:

This detailed answer explains the proportional relationship between the cost and retail price of t-shirts in the given data table, provides the equation representing the relationship, and predicts the retail price for a t-shirt costing the store $9.50.

Explanation:

a. Is the relationship proportional? Yes, the relationship is proportional because the ratio between the cost and the retail price remains constant. This can be seen by calculating the cost-to-price ratios for each pair of values. If the ratios are the same, the relationship is proportional.

b. Write an equation that represents the relationship: The equation for the relationship is y = 1.25x + 0.75 where y represents the retail price and x represents the cost to the store.

c. Predict the retail price for a t-shirt that cost the store $9.50: Substituting $9.50 for x in the equation gives us a predicted retail price of $11.88. The store is likely to charge $11.88 for a t-shirt that cost them $9.50.

The correct answer-73,-34,0.5,1.2,23.

-The Numbers Ordered From Least To Greatest-

-73     -34     0.5     1.2     23

The closer the numbers are to zero, the bigger they will be

The farther away the numbers are from zero, the smaller they will be

Answer:

The answer would be 12x

Step-by-step explanation:

You have to add all the sides together because its a square and all sides are equal. So 3x+3x+3x+3x equals 12x

Answer:

Step-by-step explanation:

Step 1. Find the Greatest Common Factor (GCF)

GCF = 7x^2

Step 2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

7x^2(14x^4/7x^2 + 35x^2/7x^2)

Step 3. Simplify each term in parentheses

7x^2(2x^2 + 5)

To Factor out the GCF of 14x⁴+35x², we can rewrite it as 7x²(2x²+5).

To factor out the greatest common factor (GCF) of 14x⁴+35x², we can first identify the common terms in both monomials. In this case, we can see that both terms have a common factor of 7x².

To factor out the greatest common factor (GCF) from the expression 14x⁴ + 35x², we need to identify the highest power of x that can be divided evenly into both terms.

Let's break down each term and identify the factors of x:

14x⁴ = 2 * 7 * x * x * x * x

35x² = 5 * 7 * x * x

From the breakdown, we can see that the GCF is 7x² since it is the highest power of x that appears in both terms.

Now, we can factor out the GCF from both terms:

14x⁴ + 35x² = 7x² * (2x² + 5)

Therefore, the factored form of 14x⁴ + 35x², after factoring out the GCF, is 7x²(2x² + 5).

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3 because 6 divided by 2 equals 3

The expression that represents the word phrase 6 decreased by one-third of a number is D. 6 - 1/3x

Based on the information given, we have to subtract (1/3 × x) from 6. This will be:

= 6 - (1/3 × x)

= 6 - (1/3x)

= 6 - 1/3x

Therefore, the expression represents the word phrase 6 decreased by one-third of a number is D. 6 - 1/3x

In conclusion, based on the above calculations, it can be inferred that the correct option is D.

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The area of the rectangle is 20 square units.

To find the area of the rectangle with vertices A (-3, 0), B (3, 2), C (4, -1), and D (-2, -3), we need to find the lengths of the sides AB and BC.

The distance formula between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a coordinate plane is given by:

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Let's find the length of side AB:

AB = [tex]\sqrt{(3 - (-3))^2 + (2 - 0)^2}[/tex]

AB = [tex]\sqrt{(3 + 3)^2 + (2)^2}[/tex]

AB = [tex]\sqrt{6^2 + 2^2}[/tex]

AB = [tex]\sqrt{36 + 4}[/tex]

AB = [tex]\sqrt{40}[/tex] = [tex]\sqrt{4 \times 10}[/tex] = 2 [tex]\sqrt{10}[/tex]

AB = 2 [tex]\sqrt{10}[/tex]

Now, let's find the length of side BC:

BC = [tex]\sqrt{(4 - 3)^2 + (-1 - 2)^2}[/tex]

BC = [tex]\sqrt{(1)^2 + (-3)^2}[/tex]

BC = [tex]\sqrt{1 + 9}[/tex]

BC = [tex]\sqrt{10}[/tex]

Now, since opposite sides of a rectangle are equal in length, we have AB = CD and BC = AD.

Therefore, the area of the rectangle is the product of the lengths of its adjacent sides:

Area = AB × BC

Area = 2 [tex]\sqrt{10}[/tex] × [tex]\sqrt{10}[/tex]

Area = 2 [tex]\sqrt{100}[/tex]

Area = 2 × 10 = 20

Area = 20

The question is:

What is the area of rectangle ABCD with vertices A (-3, 0), B (3, 2), C (4, -1) and D (-2, -3)?

-4 < 4(6y - 12) - 2y

Distributive property.

-4 < 24y - 48 - 2y

Combine like terms.

-4 < 22y - 48

Add 48 to both sides.

44 < 22y

Divide both sides by 22.

2 < y

The value of y is greater than the value of 2.

Answer:

y<2 i got it right on my test

Step-by-step explanation:

Write an equation.

16=2x

x=8

Daniel's brother is 8 years old.

Using the concept of proportional relationship, the age of Daniel's brother is 8 years

Given the Parameters :

Daniel's age = 2 × brother's age

Hence,

16 = 2 * x

16 = 2x

Divide both side by 2

x = 16/2

x = 8

Hence, the brother's age is 8

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Answer:

A) 8.64 x 10^4

Step-by-step explanation:

4.8 * 3.6 / 2 = 8.64

10^6 * 10^3 / 10^5 = 10^(6 + 3 - 5) = 10^4

Answer: 8.64 * 10^4

Answer by JKismyhusbandbae:

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4.8\cdot \:10^6\cdot \frac{3.6\cdot \:10^3}{2\cdot \:10^5}\\\frac{3.6\cdot \:10^3}{2\cdot \:10^5}=\frac{3.6}{10^2\cdot \:2}\\=10^6\cdot \:4.8\cdot \frac{3.6}{10^2\cdot \:2}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=4.8\cdot \frac{10^6\cdot \:3.6}{10^2\cdot \:2}\\\frac{3.6\cdot \:10^6}{2\cdot \:10^2}=1800\\=18000\cdot \:4.8\\\mathrm{Multiply\:the\:numbers:}\:4.8\cdot \:18000=86400\\=86400[/tex]

Explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer is: A) 8.64 x 10^4