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pickupchik [31]
3 years ago
7

Which expression is equivalent to (7x+9y)2

Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

49x^2+126xy+81y^2

Step-by-step explanation:

Use the square of a binomial theorem

(a+b)^2= a^2+2ab+b^2

Now expand the given equation:

(7x+9y)^2=49x^2+126xy+81y^2

Hope this helps :)

Have a great day!

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here are 1515 people in an office with 55 different phone lines. If all the lines begin to ring at once, how many groups of 55 p
Mashcka [7]

Answer:

360,360 groups of 5 people.

Step-by-step explanation:

We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.

We will use fundamental principle of counting to solve our given problem.

There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.

Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.

There are 11 people to answer 5th call.

So 5 lines can be answered in 15\times 14\times 13\times 12\times 11=360,360 ways.

Therefore, 360,360 groups of 5 people can answer these lines.

6 0
3 years ago
How to isolate scalars from a matrix
I am Lyosha [343]
The technique of matrix isolation involves condensing the substance to be studied with a large excess of inert gas (usually argon or nitrogen) at low temperature to form a rigid solid (the matrix). The early development of matrix isolation spectroscopy was directed primarily to the study of unstable molecules and free radicals. The ability to stabilise reactive species by trapping them in a rigid cage, thus inhibiting intermolecular interaction, is an important feature of matrix isolation. The low temperatures (typically 4-20K) also prevent the occurrence of any process with an activation energy of more than a few kJ mol-1. Apart from the stabilisation of reactive species, matrix isolation affords a number of advantages over more conventional spectroscopic techniques. The isolation of monomelic solute molecules in an inert environment reduces intermolecular interactions, resulting in a sharpening of the solute absorption compared with other condensed phases. The effect is, of course, particularly dramatic for substances that engage in hydrogen bonding. Although the technique was developed to inhibit intermolecular interactions, it has also proved of great value in studying these interactions in molecular complexes formed in matrices at higher concentrations than those required for true isolation.
3 0
3 years ago
6. You and your family went to a restaurant and the bill came to $120. You decide to
ivann1987 [24]

Answer:

c

Step-by-step explanation:

18 percent of 120 is 21.6

6 0
2 years ago
Read 2 more answers
Helppppppp pleaseeeeeeee
Lilit [14]
B. Is the right answer

First you have to take the common elements then use an identity/formula to get the rest

x^3 - 3x^2 + x-3
x^2 (x-3) +1 (x-3)
(x^2 +1) (x-3)
(x-1)(x+1)(x-3) {using a^2-b^2 on x^2-1^2}
4 0
3 years ago
One large jar and five small jars can hold 26 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. Use the
Lesechka [4]

Using a system of equations, it is found that one large jar holds 6 ounces and one small jar holds 4 ounces.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable l: Weight that a large jar holds.
  • Variable s: Weight that a small jar holds.

One large jar and five small jars can hold 26 ounces of jam, hence:

l + 5s = 26, which is the first equation in matrix form.

Then:

l = 26 - 5s.

One large jar minus one small jar can hold 2 ounces of jam, hence:

l - s = 2, which is the second equation in matrix form:

Then:

l = 2 + s = 26 - 5s

2 + s = 26 - 5s

6s = 24

s = 4.

l = 26 - 5s = 6.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
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