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3 years ago

The isosceles triangle has a perimeter of 7.5 m

Mathematics

2 answers:

scoray [572]3 years ago

4 0

Option 4: 2.1 + 2x = 7.5

Damm [24]3 years ago

3 0

Answer:

The value of x is 2.7 and the equation used for finding the value of x is 7.5 = 2.1 + 2x.

Step-by-step explanation:

As given

The isosceles triangle has a perimeter of 7.5 m .

if the shortest side, y measures 2.1 m

In the isosceles triangle two sides of the triangle are equal .

Let us assume that the two equal sides each of length x .

Thus

Perimeter = Sum of all sides

Perimeter = x + x + y

7.5 = 2x + 2.1

7.5 - 2.1 = 2x

5.4 = 2x

$x = \frac{5.4}{2}$

x = 2.7 m

Therefore the value of x is 2.7 and the equation used for finding the value of x is 7.5 = 2.1 +2x.

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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

How many cubic feet will it take to fill the prism below?

stiv31 [10]

Answer:

580

Step-by-step explanation:

I wanted to use the Pythagoras theory but I noted that they've given us the hypotenuse which is 8.6 they have already given us the height is 7 and the base is 5 when you use the Pythagoras theory you'll find that there hypotenuse is 8.6 that's why I wrote forget it there's no need of finding the base and the height for the other triangle just transfer 7 and 5 then calculate the volume I guess I got the answer is 580 hope it helps you good day.