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2 years ago

C. 3x-7=2x-5 solve for x, simplify

Mathematics

2 answers:

Svet_ta [14]2 years ago

6 0

Answer:

x=2

Step-by-step explanation:

addition property of equality is adding the same number to both sides of an equation does not change the equation.

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

distributive property: a(b+c)=ab+ac

add 7 both sides of an equation.

3x-7+7=2x-5+7

simplify.

3x=2x+2

subtract 2x both sides of an equation.

3x-2x=2x+2-2x

simplify.

x=2

Hope this helps!

Thanks!

igomit [66]2 years ago

4 0

3x - 7 = 2x - 5 add 7 to both sides

3x = 2x + 2 subtract 2x from borh sides

Check:

L = 3(2) - 7 = 6 - 7 = -1

R = 2(2) - 5 = 4 - 5 = -1

L = R CORRECT! :)

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balu736 [363]

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3 years ago

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the

jekas [21]

Answer:

For the value of hypotenuse can be irrational, sum of squares of other two legs might be imperfect square number.

Step-by-step explanation:

We all know, the Pythagorean theorem can be stated as follows:

The sum of squares of two legs of a right angled triangle is equal to the square of the hypotenuse.

i.e.

$a^2+b^2=c^2$

Where, $c$ is the hypotenuse and $a, b$ are the two other legs of the right angled triangle.

Given that:

$a$ and $b$ are rational numbers.

To find:

Situation for which $c$ is irrational.

Square of a rational number is always rational.

So, $a^{2} , b^{2}$ both will be rational.

And sum of squares of two rational numbers will also be rational.

Therefore, $a^2+b^2$ will also be rational.

and

$c = \sqrt{a^2+b^2}$

For the value of $c$ can be irrational, sum of squares of other two legs might be imperfect square number.

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2 years ago

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BARSIC [14]

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3 years ago

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Algebraic fractions x² + 5x+4 / x²+ 4x + 3

Tresset [83]

Answer:

$\frac{x+4}{x+3}$

Step-by-step explanation:

Given

$\frac{x^2+5x + 4}{x^2+4x+3}$ ← factor numerator and denominator

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8 0

3 years ago

What pattern is represented by the polynomial ?

Ymorist [56]

Answer:

choice C. Perfect square trinomial is correct.

Step-by-step explanation:

We need to find the pattern which is represented by the polynomial $4x^2+12x+9$ .

To find that pattern, we need to factor $4x^2+12x+9$

$4x^2+12x+9$

$=4x^2+6x+6x+9$

$=2x(2x+3)+3(2x+3)$

$=(2x+3)(2x+3)$

$=(2x+3)^2$

which is a perfect square.

Hence choice C. Perfect square trinomial is correct.

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3 years ago