All categories

4 years ago

Can anyone pls help me in dis pls

Mathematics

1 answer:

Brut [27]4 years ago

8 0

(a + b)² and c² + 4(1/2 ab) both represent the area of the outer square and are equal.

Step-by-step explanation:

Step 1: The below reasons explain why the expression is a true equation.

1. The left hand side expression (a + b)² finds the area of the outer square by squaring its side length.

[In the figure, side length of the outer square = a + b and area of a square = (side length)²]

2. The right hand side expression c² + 4(1/2 ab) finds the area of the outer square by adding the area of the inner square and the four triangles.

[In the figure the length of the inner square is c, the triangles have a base a and height b and area of a triangle = 1/2 base × height]

So the left hand side and right hand side of the expression is equal.

You might be interested in

Simplify expression X^2+x-2/x^3-x^2+2x-2

professor190 [17]

Answer:

$=\frac {x+2}{x^2+2}$ is the simplest form of given expression.

Step-by-step explanation:

The given question is $\frac{x^2+x-2}{x^3-x^2+2x-2}$

To solve the problem we have to group or split middle term and then factorise

$\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}$

Taking $x^2$ common from first two terms of denominator and 2 from next two terms

$= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}$

Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms

$= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}$

$=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}$

Now cancel out x-1 from both numerator and denominator we get

$=\frac {x+2}{x^2+2}$ is the required simplest form.

7 0

3 years ago

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Judy attended all of the sessions thi

lbvjy [14]

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Then the, total number of minutes Judy worked out for the week was 155 minutes.

We are to determine the total number of minutes Judy worked out for the week.

The gym holds three 45-minute workout sessions and two 30-minute sessions each week

So,

We can write,

The total number of minutes the gym holds workout sessions is

3 × 45 + 2 × 30

= 135 + 60

= 195 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions.

The total number of minutes Judy didn't attend is

= 3 × 10 + 2 × 5

= 30 + 10

= 40 minutes

Then,

The total number of minutes Judy worked out for the week was,

= 195 minutes - 40 minutes

= 155 minutes

Therefore,

The total number of minutes Judy worked out for the week was 155 minutes.

To learn more about visit Calculating time :

brainly.com/question/28523225

#SPJ1

5 0

1 year ago

A pizza place charges $5.00 for a cheese pizza and $1.75 for each additional topping. Which equation models the total price of a

inysia [295]

Answer:

Step-by-step explanation: This is c because 1.75 t is right because they don't know how many toppings you are going to put on but they do know how much you will automatically have to pay for the pizza itself. That is why it is 1.75t(toppings) plus the 5 dollars for pizza.

Hope this helps!

4 0

3 years ago

What is the square root of 600

dmitriy555 [2]

Answer:

24.495 if they want it as a radical, it would be positive or negative radical 600.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which of the following add carbon dioxide to the atmosphere

PtichkaEL [24]

Answer:

Carbon dioxide is added to the atmosphere naturally when organisms respire or decompose (decay), carbonate rocks are weathered, forest fires occur, and volcanoes erupt. Carbon dioxide is also added to the atmosphere through human activities, such as the burning of fossil fuels and forests and the production of cement.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers