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2 years ago

Multiply Conjugates Using the Product of Conjugates Pattern

Mathematics

1 answer:

SpyIntel [72]2 years ago

5 0

Answer:

The product is the difference of squares is $\left(11-b\right)\left(11+b\right)=121-{{b}^2}$

Step-by-step explanation:

Explanation

The given expression is (11-b)(11+b).

We have to multiply the given expression.

Square the first term 11. Square the last term b.

$\begin{aligned}&(11-b)(11+b)=(11)^{2}-(b)^{2} \\&(11-b)(11+b)=121-b^{2}\end{aligned}$

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3 years ago

Read 2 more answers

In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the

USPshnik [31]

The measure of the three angles are 56, 28 , 192 degree

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices an three angles.

It is given to make system of equations

Let the measure of the first , second and third angle be x, y and z

the sum of the measures of the first two angles is 12 less than the measure of the third angle.

x +y = z -12 ----1

the measure of the first angle is twice as big as the measure of the second angle.

x = 2y

Now equation 1 will be

z - 3y = 12

x +y+z = 180

2y +y +z = 180

3y +z = 180 ----2

z - 3y = 12------3

On solving the system of equation 1, 2

2z = 192

z= 96 degree

3y = 180-96

y = 28

x = 56

Therefore the measure of the three angles area 56, 28 , 192 degree.

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2 years ago

A music store owner noted that CD sales had dropped 33% from one quarter to the next. If the owner sold 579 units in the first q

Paul [167]

Answer: 387.93 units

Step-by-step explanation:

You have the following information given in the problem above:

- The sales had dropped 33% from one quarter to the next.

- The owner sold 579 units in the first quarter.

Thefore, to calculate the number of units she sold in the next quarter (which you can call x), you must can apply the following proccedure:

$x=579units-(0.33)(579units)$

Then the answer is the following:

$x=387.93units$

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3 years ago

There are seven cars parked in a row exactly the same distance from each other the first car is 31 inches from the second car th

MakcuM [25]

Answer:

the distance of the 3rd car from the 7th car is

217 inch

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2 years ago