Which expression is equivalent to x8 - 256?
A) (x – 2)(x + 2)(x2 + 8)(x4 + 8)
B) (x – 2)(x – 2)(x2 + 4)(x4 + 16)
C) (x – 2)(x + 2)(x2 + 4)(x4 + 16)
D) (x + 2)(x + 2)(x2 + 4)(x4 + 16)

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

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

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

Answer:

Step-by-step explanation:

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.

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!

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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20 becuase 1/4 needs 4 to be 1 and multiply it by 5 and you get 20

You can make 20 patties. Hope this helped.

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

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

it classifys triangles

a triangle? Is it a shape? If it is then it is a triangle.

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%

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)?

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

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

The answer would be 7+x*x the variables stand for the 2 unknown numbers and the product is the * symbol. Increased stands as the plus symbol. Hope this helps!

Answer: The expression for the given statement is [tex]7+(x\times y)[/tex]

Step-by-step explanation:

We are given a statement:

Seven increased by the product of two numbers

Let the first number be considered as 'x' and second number be considered as 'y'

'Increased' in the above statement means addition operation.

'Product' in the above statement means multiplication operation.

Hence, the expression for the given statement is [tex]7+(x\times y)[/tex]

Answer:

[tex]x\leq 22[/tex]

Step-by-step explanation:

In the attachment!

the answer is the last one.

To correct the rewritten equation 2x-y=5, isolate y on one side by moving the 2x term to the other side, resulting in y = 2x - 5.

To correct the rewritten equation 2x-y=5, we need to isolate y on one side of the equation. So, let's start by moving the 2x term to the other side, which requires subtracting 2x from both sides of the equation. This gives us -y = -2x + 5. Now we need to solve for y by multiplying both sides of the equation by -1 to get y = 2x - 5.

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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}

$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.

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

(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).

Answer:

2.3, 2.8, 3.01, 3.017, 3.10, 4.125, 4.2

Or [tex]2.3, 2\frac{4}{5}, 3.01, 3.017, 3.10, 4\frac{1}{8}, 4.2[/tex]

Step-by-step explanation:

The given numbers are [tex]4.2, 3.10, 4\frac{1}{8}, 3.01, 2.3, 2\frac{4}{5}, 3.017[/tex]

To arrange them we will covert the fractions into decimals first.

[tex]4.2, 3.10, 4.125, 3.01, 2.3, 2.8, 3.017[/tex]

Let's understand which number is greater among 2.3 and 2.8.

Here 2 is common in both the numbers but after decimal one number has 2 and other 8.

So number having greater number after decimal will be greater than the other one.

Therefore, out of 2.3 and 2.8, 2.8 will be greater.

Now we will arrange all the numbers from least to greatest.

2.3, 2.8, 3.01, 3.017, 3.10, 4.125, 4.2

The price per cup for a 2-gallon jug of water costing $9.92 is $0.31.

The question asks us to find the price per cup for a 2-gallon jug of water costing $9.92. First, we need to determine how many cups are in 2 gallons of water.

There are 16 cups in a gallon, so in 2 gallons, there would be 32 cups (16 cups/gallon x 2 gallons = 32 cups). Next, we calculate the price per cup by dividing the total cost by the number of cups.

Total cost of 2 gallons = $9.92

Number of cups in 2 gallons = 32 cups

Price per cup = Total cost / Number of cups

Price per cup = $9.92 / 32 cups

Price per cup = $0.31

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!!