What is the factored form of 5x+x^2=0

What is the Value out in the equation 3/4 (z+4)=9

alisha [4.7K]

Answer:

z = 8

Step-by-step explanation:

3/4 (z+4)=9

3/4z + 3 = 9

3/4z = 6

z = 8

8 0

3 years ago

Which shows a difference of squares? 10 y squared minus 4 x squared 16 y squared minus x squared 8 x squared minus 40 x + 25 64

evablogger [386]

Answer:

16y² - x² shows a correct difference of squares.

Step-by-step explanation:

Following are the given options from which we have to chose which represents the difference of squares.

A) 10y² - 4x²

B) 16y² - x²

C) 8x² - 40x+25

D) 64x² - 48x+9

Difference of square is given by:

a² - b² = (a + b) (a - b)

If we analyze the expressions from the choices given in the question. We should figure out that option B) should be the right answer that shows a difference of squares. i.e. 16y² - x² shows a correct difference of squares. All other options do not represent the difference of perfect squares.

As in option A) 10y² - 4x²

10y² is not a complete square of any number. Hence, option A) is incorrect.

As in option C) 8x² - 40x+25

Neither of the terms in the expression as shown in option C can be a perfect square. Hence, option C) is incorrect.

As in option D) 64x² - 48x+9

The term 48x+9 in the expression as shown in option D can not be a perfect square. Hence, option D) is incorrect.

Lets take the expression 16y² - x² of option B) and solve it.

First simplify the terms separately to associate them as perfect squares as shown below:

⇒ 16y² = (4y)² Equation (1)

⇒ x² = (1x)² Equation (2)

Now, take the difference of Equation (1) and Equation (2).

⇒ 16y² - x²

⇒ (4y)² - (1x)² Equation (3)

So,

Equation (3 )shows a difference of squares. It can also be represented as factorizing the difference of two perfect squares such as (4y - x) (4y + x).

Which is

(4y - x) (4y + x) = 16y² - x²

= (4y)² - (1x)²

So, option B) i.e. 16y² - x² shows a correct difference of squares.

Keywords: difference of square

Learn more about completing the square from brainly.com/question/12829957

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3 0

3 years ago

Read 2 more answers

Choose the correct simplification of d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th

madreJ [45]

Correct answer would be d to the 5th power over g to the 6th power

8 0

4 years ago

Read 2 more answers

The top of a tree is 172/3 feet

arlik [135]

Answer:

1091 feet

Step-by-step explanation:

172/3 + 1037 = ?

54 + 1037 = ?

1091 = ?

4 0

4 years ago

SOMEONE PLS HELP ILL MARK BRAINLY

Brrunno [24]

Answer:

$\huge\boxed{\text{Solution A: 32 ounces}}$

$\huge\boxed{\text{Solution B: 8 ounces}}$

Step-by-step explanation:

In order to solve this problem, let's first understand what the question is asking.

If we combine Solution A (with 35% salt) and Solution B (with 85% salt), our goal is to create a 40 ounce mixture with 45% salt.

Let's model an equation for this, assuming that a is the amount of ounces of Solution A and b is the amount of ounces of Solution B.

$0.35a+0.85b= 40 \cdot 0.45$

Why? Since 35% of a number is the same as multiplying it by 0.35, we can multiple the total number of ounces by the decimal to find how many ounces of it will contain salt.

We also know that we need 40 ounces of this mixture. Therefore, adding together Solution A and B must get 40:

$a+b=40$