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mr_godi [17]
3 years ago
7

Please help I don't understand it. Perform the indicated operation. (2x + y)^2

Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0

Answer:

4x^2 + 4xy + y^2

Step-by-step explanation:

"(2x + y)^2" is an example of "square of a binomial."  Among the various algebraic rules there is a formula applying here:

(a + b)^2 = a^2 + 2ab + b^2  (square of a binomial, square of the sum of

                                              two numbers)

It would be worth your while to learn this, as well as

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

Applying the rule (a + b)^2 = a^2 + 2ab + b^2 to (2x + y)^2, we get:

(2x)^2 + 2(2x)(y) + y^2, or, after simplification:

4x^2 + 4xy + y^2

pychu [463]3 years ago
8 0

Answer:(2x+y)^2

= (4x^2)+4xy+(y^2)

Step-by-step explanation:Use the (a+b)^2 formula which states a^2+2ab+b^2

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An angle measures 72° less than the measure of its complementary angle. What is the measure of each angle?
Ronch [10]

Answer:

81 and 9

Step-by-step explanation:

Okay, so if 2 angles are complementary, it means that when they are added together, they equal 90 degrees. So using this, we can make an equation. Let's call one angle x and the other that is 72 less than angle x can be described as x - 72. Now let's make that into an equation.

90 = x + x -72

So in order to solve this, we need to get x by itself. So we need to add 72 on both sides, and the equation should now look like this:

162 = x + x

Now we have to add the x's together.

162 = 2x

Now in order to isolate x, you divide by 2 on both sides.

X = 81

So we now know the larger angle is 81, and the smaller angle which is 72 less, would be 9.

3 0
3 years ago
At a college there are 120 freshmen, 90 sophomores, 110 juniors, and 80 seniors. A school administrator selects a random sample
murzikaleks [220]

Answer:

Stratified sampling

Step-by-step explanation:

The is a type of sampling in which the population of interest is divided into subpopulations and then each subpopulation is randomly sampled.

In this case study, instead of just doing a random sampling of all students, the research divided the population of all students into subpopulations which includes freshmen, sophomores, juniors and seniors and then she makes a random sampling of each of these subpopulations.

4 0
3 years ago
If a pair of lines is intersected by Third line known as a transversal, then pairs of congruent angles are formed true or false
Olenka [21]

Answer:

true

Step-by-step explanation:

it forms eight angles

3 0
3 years ago
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
guapka [62]

Answer:

b

Step-by-step explanation:

Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3

2

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8 0
3 years ago
The scale of a drawing is 1 inch : 3 feet. Find the
Alex Ar [27]

Answer:

14.66666

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ur choice

Step-by-step explanation:

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