Show that (4-√3)(4+√3)/√13 simplifies to root 13

Answers

Answer 1
Answer: 13 is a prime number, there is no simpler form for its square root .

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Given a polynomial f(x), if (x - 2) is a factor, what else must be true?f(2) = 0

f(-2) = 0

f(0) = 2

f(0) = -2

Answers

If a number is a root of a polynomial, then we substitute the number to x of the polynomial, the answer or y is equal to zero. Hence, in this situation, if (x - 2) is a factor, the root is equal to 2. This means then that upon substituting 2 to the function, y is equal to zero. Answer then is A. f(2) = 0

Compare and contrast, using complete sentences, a deferred payment plan for a consumer durable versus a college loan

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

A differed payment plan will have a larger interest component than a college loan.

Answer:

Consumer Durable Deferred Payment, a loan with almost due to a term whose main target is selling products.

A College Loan, a deferred payment with many extra benefits, federal and private whose target is to help on educating the debtor.

Step-by-step explanation:

Consumer Durable Deferred Payment, when a buyer purchases from a seller. And the seller in his turn does not receive the total payment until the expiration date under the contract. The buyer is, therefore, a registered debtor. For instance, James buys a $ 1,600 fridge. To take it off the store He and the Store have an arrangement for $1000 James takes it home, paying  $600, in 2 monthly installments. A deferred payment plan is a loan after something has been delivered.

A College Loan also has a deferred payment plan. Since you're under graduating and the contract expires sometime after you've borrowed. But it has some differences like Federal subsidized plans, differently from forbearance when the student either stop or reduce the values paid, for a determined period. Lower interest rates. There are other benefits like a cosigner, and you can consolidate several loans to pay for the College.

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) Step 1: 12 + (–3)·(–2x) + (–3)·(4)
Step 2: 12 + 6x + (–12)
Step 3: 12 + (–12) + 6x
Step 4: 0 + 6x Step 5: 6x

What property of real numbers was used to transition from Step 3 to Step 4?
A. identity property of addition
B. inverse property of addition
C. associative property of addition
D. commutative property of addition

Answers

inverse property of addition
B: inverse property of addition

Which of these properties of a rigid transformation is exclusive to translations?The measures of the angles and sides in the preimage are preserved.

The points in the preimage lie in the same plane as the points in the image.

All the points in the preimage are shifted the same distance.

The orientation of sequences of points in the preimage are always preserved.

Answers

The properties of a rigid transformation is exclusive to translations is teh phrase "The points in the preimage lie in the same plane as the points in the image". The rest of the statements do not answer the question above.

Answer with explanation:

There are four kind of Rigid transformation that can take place in a two dimensional or Three dimensional geometrical Shape

1. Rotation

2. Reflection

3.Dilation

4. Translation

When we translate a geometrical shape , the Preimage , shifts from one position to another position in  the plane in which it lies ,without changing the shape ,size ,and Interior angle of the PreImage.  

→→I have described first three properties ,which are true to translation by taking a triangle ,having vertices , (0,0), (0,1) and (1,0).

Now, translating the triangle , by 1 unit right and 1 unit up,got the triangle having vertices, (1,1),(1,2) and (2,1).

Option 4 : The orientation of sequences of points in the pre image are always preserved, is the property of a rigid transformation that appears exclusive to translations.

Please help me! this is timed!

Answers

Answer:

Step-by-step explanation:

1. f(-2) = 6 * 1/3^-2

f(-2) = 6 * 9

f(-2)  = 54

2. y = -3 * 4^3

y = -3 x 64

y = -192

3. f(4) = 1/4 * 2^4

f(4) = 1/4 * 16

f(4) = 4

Let me know if I am right!

Which product is equivalent to 25x2 – 16?(5x − 4)(5x + 4)
(5x + 8)(5x − 8)
(5x − 4)(5x − 4)
(5x − 8)(5x − 8)

Answers

ANSWER
25 {x}^(2) - 16 =( {5x - 4})(5x + 4)

EXPLANATION

We want to factor the expression,

25 {x}^(2) - 16

We can rewrite the expression as

25 {x}^(2) - 16 = ({5x})^(2) - {4}^(2)

The expression is now a difference of two squares,

Recall that,

{a}^(2) - {b}^(2) = (a - b)(a + b)

The expression now becomes;

25 {x}^(2) - 16 =( {5x - 4})(5x + 4)


Therefore the correct answer is option A.

Answer:

a

Step-by-step explanation: