1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Julli [10]
2 years ago
12

The length of the rectangle is x + 12. The width of the rectangle is x + 3. Please determine the area of the rectangle.

Mathematics
1 answer:
OverLord2011 [107]2 years ago
3 0

Answer:

For part A, the product of (-5 + x)(x + 4) is equal to x^2 - x - 20. For part B, the product of -5 + x and x + 4 is not equal to the product of 5 + x and x - 4. And for part C the product of (3 + 5)(3^2 + 4 - 3) equals 70.

Step-by-step explanation:

I will tell you how I came up with those answers.

The product of (-5 + x)(x + 4) can be found using the<em> FOIL</em> method(First, Outer, Inner, Last).

Start with multiplying -5 and x. -5 * x = -5x.

Now multiply -5 and 4.  -5 * 4 = -20.

Next, multiply x and x.  x * x = x^2.

Finally, multiply x and 4.  x * 4 = 4x.

And now it is time to simplify and change to standard form.

-5x - 20 + x^2 + 4x.

x^2 - 5x - 20 + 4x.

x^2 - 5x + 4x - 20.

x^2 - x - 20.

The final answer for part A is x^2 - x - 20.

For part B, the product of -5 + x and x + 4 is already known.

But now we need to figure out the product of 5 + x and x - 4.

We can use the FOIL method again to solve for the new product.

Start by multiplying 5 and x.  5 * x = 5x.

Next, multiply 5 and -4.  5 * -4 = -20.

Now multiply x and x.  x * x = x^2.

Finally, multiply x and -4.  x * -4 = -4x.

And now we can simplify and arrange the terms into standard form.

5x - 20 + x^2 - 4x.

x^2 + 5x - 20 - 4x.

x^2 + 5x - 4x - 20.

x^2 + x - 20.

The final answer for part B is that the products of

(-5 + x)(x + 4) and (5 + x)(x - 4) are not equivalent. They look similar except the difference between them is the "x" value.  The x value of the first equation's product is -x while the x value of the second equation's product is x.

For part C, use the FOIL method as used in the last questions to find the answer.

2 * 3^2  =  2 * 9  =  18.

2 * 4  =  8.

2 * -3  =  -6.

5 * 3^2  =  5 * 9  =  45.

5 * 4  =  20.

5 * -3  =  -15.

Now combine the numbers to get the final answer for part C.

Follow PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction).

The only operations are subtraction and addition. The rule is the add before subtracting, but this does not always apply. For this being true, we only need to perform the first operation from the left side.

18 + 8 - 6 + 45 + 20 - 15.

26 - 6 + 45 + 20 - 15.

20 + 45 + 20 - 15.

65 + 20 - 15.

85 - 15.

70.

So the last answer to part C is 70.

Also the area of the rectangle is x^2 + 15x + 36. I forgot that part, my apologies.

You might be interested in
Find the measure of each angle of the triangle HIJ. There will be three answers. (Hint: find the value of x first.)
vekshin1
<h3><em>= 3x - 2 + 3x - 9 + 4x - 9 = 180 ( Angle sum property )</em></h3><h3><em>= 3x + 3x + 4x - 2 - 9 - 9 = 180 </em></h3><h3><em>= 10x - 20 = 180 </em></h3><h3><em>= 10x = 180 + 20 </em></h3><h3><em>= 10x = 200</em></h3><h3><em>= x = 200 / 10 </em></h3><h3><em>= x = 20</em></h3><h3><em>therefore the angle's are,</em></h3><h3><em>58, 51, 71.</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>
6 0
2 years ago
Mia buys 5 yards of ribbon to make bracelets.She needs 18 inches of ribbon to make 1 bracelet.How many bracelets can Mia make if
snow_tiger [21]
To find the number of bracelets Mia can make, she will convert 5 yards to inches and then break that into groups of 18 inches.

5 x 36 = 180 inches

180/18= 10

Mia can make 10 bracelets.
8 0
3 years ago
Please help me.<br> Round 34,699 to the nearest ten thousand. ASAP
harina [27]
Your number is 34,699 right and if anything is 5000 or over round ahead so it is 30,000
7 0
3 years ago
Read 2 more answers
a circular stained glass window frame with a diameter 20 inches is divided into 8 congruent find the area of 3 of the 8 panes of
ahrayia [7]

Answer:

it would be 45

Step-by-step explanation:

6 0
2 years ago
I need help please!!
shepuryov [24]
The first one the height of the candle remains the same after many minutes the second one the water in a storage tank decreas. Find slope by using slope formula
3 0
3 years ago
Other questions:
  • True or false: In inference we use the value of a parameter to estimate a statistic.
    12·2 answers
  • What would be the expression?
    15·1 answer
  • The parking lot had 1.5 times more trucks than cars. After 45 more cars came to the parking lot and 12 trucks left, there were 1
    8·1 answer
  • Can someone help me with this question?
    10·2 answers
  • Limit yayınları 2. deneme cevapları
    15·1 answer
  • A store has three crates of orange each create holds two boxes each box holds 20 oranges what is the total number of oranges in
    14·2 answers
  • 9x+18=-20<br><br> what does X =
    6·2 answers
  • PLZZZZZ HELPPPP!!!! i'm very confused on what to do !!!! what is the length of the apothem of a regular hexagon with 16cm side l
    15·1 answer
  • can sombody help me?
    10·1 answer
  • Which algebraic expression is equivalent to the expression below
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!