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harina [27]
3 years ago
15

A. Write an expression for the area of the shaded region.

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

A. 25x² - 64

B. (5x + 8)(5x - 8)

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = 25x^2 - 64

B. The expression, 25x^2 - 64, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, a^2 - b^2 = (a + b)(a - b)

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

25x^2 - 64 = (5x + 8)(5x - 8)

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What is the slope of the graph shown below?
levacccp [35]

Answer:

2435

Step-by-step explanation:

6 0
3 years ago
David is going to install tiles on the floor of two rooms. One of the floors is 18 feet long by 12 feet wide. The other floor is
crimeas [40]
Dimension of one of the floors of one room that David wants to install tiles is 18feet long by 12 feet wide
Then
Area of the above room = 18 * 12 square feet
                                       = 216 square feet
Dimension of the floor of the other room that David wants to install tiles is 24 feet long and 16 feet wide
Then
Area of the other room = 24 * 16 square feet
                                     = 384 square feet
Then
The total square feet of the
rooms that David wants to install tiles = 216 + 384
                                                             = 600 square feet
Cost of the tile that covers 1 square feet = $5
Cost of the 4 tiles that cover 4 square feet = $17
Then  
Area that can be covered with 4 square feet of tiles = 600/4 square feet
                                                                                  = 150 square feet
Minimum cost of covering
the two rooms that David wants to install tiles = 150 * 17 dollars
                                                                          = 2550 dollars
So the minimum cost of installing the tiles on the two floors of David's two rooms is $2550. I hope the procedure is simple enough for you to understand.            
8 0
3 years ago
. <br><br><br> Solve the equation. <br><br> 2/3 x – 6 = 9
Allisa [31]
Hey there!

Okay let's get cracking :D

The equation is....  (2x/3) - 6 = 9

2x/3 = 15
2x = 45
<u>x = 22.5</u><u />    <----- And that is your answer!

I hope it helped! 

<u>Please vote for me as Brainliest if there is a second answer!</u>
4 0
3 years ago
Read 2 more answers
Sam is filling up his pool. The water hose filled the 392 gallon pool in 49 minutes. At what rate did the hose fill the pool in
cestrela7 [59]
Your answer would be 8 Hammond per minute. Hope this helps!
3 0
3 years ago
Read 2 more answers
PPPLLLZZZ HELP I'LL GIVE BRAINLIEST
kati45 [8]

Allen's work is not written properly so I have rearranged it as shown below:


Original problem) –8.3 + 9.2 – 4.4 + 3.7.

Step 1) −8.3 + 9.2 + 4.4 + 3.7 Additive inverse

Step 2) −8.3 + 4.4 + 9.2 + 3.7 Commutative property

Step 3) −8.3 + (4.4 + 9.2 + 3.7) Associative property

Step 4) −8.3 + 17.3


We can see that in step 1), Allen changed -4.4 into +4.4 using additive inverse. Notice that we are simplifying not eliminating -4.4 as we do in solving some equation. Hence using additive inverse is the wrong step.


Alen should have collect negative numbers together and positive numbers together.

Add the respective numbers then proceed to get the answer.


–8.3 + 9.2 – 4.4 + 3.7

= –8.3 – 4.4 + 9.2 + 3.7

= -12.7 + 12.9

= 0.2



6 0
3 years ago
Read 2 more answers
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