What are all the options for the drop down menus and are we suppose to make a sentence out of theses drop down statements?
The dimensions of the house should be 7 m by 13 m.
If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions. This gives us (10-x) and (16-x) as the dimensions.
The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91
Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91
Combine like terms:
160-26x+x²=91
Rewrite this in standard form:
x²-26x+160=91
Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0
Factoring this, we look for factors of 69 that sum to -26. -23*-3 = 69 and -23+-3 = -26, so:
(x-23)(x-3) = 0
Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3.
x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.
10-3 = 7 and 16-3 = 13.
These are the dimensions of the house.
Answer: Third option.
Step-by-step explanation:
To solve this exercise it is important to remember the following:
1) By definition, equivalent expression have the same value, but they look different.
2) The multiplication of signs:

Then, given the following expression provided in the exercise:

You need to distribute the postive sign:

And finally, you must add the like terms:

As you can notice, the expression obtained matches with the expression shown in the third option.
Brenda’s Profit is $11
This is because she spent $30 to begin with and made a total of $41, once the expenses for materials have been subtracted she is left with $11.
5x + 2y=41
x=7 (for the # of earrings sold for $5)
y= 3 (for the # of earrings sold for $2)
5(7) + 2(3)=41
41 - 30 = 11
<h3><u>SOLUTION:</u></h3>
Let the length of the room = L = 12m
width of the room = b = 8m
Height of the room = h = 4m
• Area of the four walls of the room = Perimeter of the base x Height of the room.


- Cost of white washing per m² = ₹5
Hence , the total cost of white washing four walls of the room ;-
- Area of ceiling is 12 x 8 = 96m².
Cost of white washing the ceiling.
So , the total cost of white washing ;
- ₹ ( 800 + 480 ) = ₹ 1280 .
Hope this helps you :)
#Carry on learning# :) ..