MATHEMATICS HIGH SCHOOL

Factor by grouping:4-12r+9r^2

i know the answer is (2-3r)^2

Can anyone explain to me how it is?

Answers

Answer 1
Answer: (x-y)^2=x^2-2xy+y^2\n---------------------------\n\n4-12r+9r^2=2^2-2\cdot2\cdot3r+(3r)^2=(2-3r)^2

other\ method:\n\n4-12r+9r^2=4-6r-6r+9r^2=2(2-3r)-3r(2-3r)\n\n=(2-3r)(2-3r)=(2-3r)^2
Answer 2
Answer: Because:
(a-b)^2=a^2+2ab+b^2

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The inverse of a function is a set of ordered-pair numbers in which the range set is interchanged with the domain set. a. True
b. False

Answers

true, because it is reflected across the y=x line

Answer:

True

Step-by-step explanation:

Simplify the following radical expression:
√20

Answers

Answer:

the answer is 2√  5

Answer:

4.472135955

Step-by-step explanation:

Simplify 8(x+3)^2/2(x+3)

Answers

The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3).

What is an expression?

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.

In other meaning, expression is beneficial to determine the end or root value of constraint.

As per the given expression,

[8(x+3)²]/[2(x+3)]

⇒ 8/2 × (x+3)²/(x+3)

⇒ 4(x+3)

Hence "The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3)".

To learn more about expression,

brainly.com/question/14083225

#SPJ2

8(x+3)^2/2(x+3)

[8(x + 3)(x + 3)]/2(x + 3)

8 ÷ 2 = 4

(x + 3)(x + 3) ÷ (x + 3) = (x + 3). In other words, we cancel one of the numerator factors.

Answer: 4(x + 3).

What are the perfect square trinomials?

Answers

A perfect square trinomial is

(square of one term) + (square of another term) + (double the product of the two terms)

Let's look at the following trinomial.

X² - 14x + 49

(x - 7) (x - 7)

(x - 7)²

This trinomial would be classified as a perfect square trinomial because it factors as two identical binomials which is (x - 7)². This means that any trinomial that factors as two identical binomials is called a perfect square trinomial.

Select the term that best describes the statement. All angles are right angles or a triangle has four sides. conjunction disjunction negation conditional

Answers

Answer: negation.

Step-by-step explanation: In a triangle, all angles cannot be right angles, because if it is so, then 90°+90°+90°=270°>180°. Hence, not possible. Also, a triangle has only three sides, so the sentence that a triangle has four sides is also not correct.

So, the given statement is a combination of two negative statements, and so, it is negation.

Thus, the correct answer is negation.
The statement is a negation because the sentence is false. All angles are NOT right angles and triangles do NOT have four sides.

Two fair six sided dice are thrown.
Find the probability that both dice land on 6

Answers

Two dice ⇒ 6*6=36 possible results
Both dice land on 6 ⇒ 1 possibility

P=1/36
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