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makkiz [27]
3 years ago
10

Use the distributive property to multiply the following binomials

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0
(x+5)(x-5)
= x^2 - 5x + 5x - 25
= x^2 - 25

(5x+3)(5x-3)
= 25x^2 - 15x + 15x - 9
= 25x^2 - 9

do you see the pattern? both the coefficient on x and constant multiply together to make a perfect square and the middle term, also known as "b" term cancels out leaving a binomial
You might be interested in
(12 points)
koban [17]

Step-by-step explanation:

a.)Buying: total cost

Total cost= commission + (price per share× Number of of shares ) ;

Total cost= 11 + (19.72×30)= $591.6+11= $601.6

b.)Net gain or loss;

First, find cash received from sale of stock and deduct commission;

Cash from sale =20.75×30= $ 622.5

deduct commission= 622.5-11= $611.5

Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.

c.) Annual rate of return= (net gain or loss/amount paid)×100%

return= 9.9/(601.6)×100 = 1.645%

7 0
3 years ago
245 is a natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers?
koban [17]

Answer: Everything but "irrational number"

================================================

Explanation:

The number 245 is a natural number since the set of natural numbers is {1, 2, 3, 4, 5, 6, ...} basically the set of counting numbers. More technically, the set of natural numbers is the set of positive whole numbers.

The number 245 is also an integer. It does not have any decimal or fractional parts. The set of integers includes negative whole numbers as well.

The number 245 is a whole number for similar reasoning as it being an integer.

The number 245 is a rational number. Why? Because we can write 245 as 245/1. In other words, 245 = 245/1. Because we can form a fraction of two integers, this shows us 245 is rational. Note: 0 cannot be in the denominator.

The number 245 is NOT an irrational. If a number is rational, then it cannot be irrational. The very definition of "irrational" means "not rational". An example of an irrational number is sqrt(2). We cannot write this as a fraction of two integers.

The number 245 is a real number. If you haven't learned about complex numbers yet, then every number you encounter is a real number.

----------

To summarize, 245 is a natural number, a whole number, an integer, a rational number, and a real number.

A much shorter way to say this is "everything but irrational" since irrational is the only non-answer.

7 0
3 years ago
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is
puteri [66]

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

5 0
3 years ago
What is the value of 8 to the third power + 5x when x = 12
loris [4]
572 im pretty sure thats it
5 0
3 years ago
Read 2 more answers
$.40 per 10th of a pound times 5.50 pounds equals what
adell [148]

Answer:

$220

Step-by-step explanation:

5.50 ÷ 10 = .550

$.40 x 550 = $220

4 0
3 years ago
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