First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.
let me know if you have any questions!!!
Answer:
width=8cm
lenth=11
Step-by-step explanation:
Answer:
The whole triangle is 180° , and means + in math
15-x + 2x= 180
-x+2x=180-15
-x+2x=165
2x=165
2x/2=165+/2
=82.5
The dimensions of the bottom of the drawer are:
20 cm × 40 cm
So the area is : 800 cm² (rectangular shaped)
The area formula of a circle is:

r²
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:

(10)²
100

314.16 cm²
2 plates in the bottom drawer
Area of two plates:
2 × 314.16
628.32 cm²
Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²
Answer:
Shorts = 112 and t shirts = 165
Step-by-step explanation:
Let S = shorts
Let T = t shirts
T + S = 277
$2T + $3S = $656
-2(T + S) = 277 so -2T -2S = -544
2T + 3S = 656 so 2T + 3S = 656
------------------------
SO: (subtract T's cancel out) 1S = 112
divide by 1 so S = 112
Plug S into the top equation: T + s = 277 T + 112 = 277 so T = 165