Let X & Y be the two integers
X+Y=18 Y = 18-X
XY = 80
We can substitute 18-X for Y in the equation XY = 80
X(18-X) = 80
Distributing
18X - X2 = 80
Subtract 80 from both sides so that the equation is equal to 0
-X2 + 18X - 80 = 0
Multiply (or divide by -1 so that the leading coefficient is positive, not negative)
X2 - 18X + 80 = 0
We can factor this quadratic
(X-10)(X-8) = 0
Setting each factor equal to 0 we can solve for X.
X-10 = 0 X-8 = 0
X = 10 X = 8
The two integers are 8 and 10.Answer:
Step-by-step explanation:
Answer:
158.94
Step-by-step explanation:
round if needed
Acute Angle- Smaller than 90 degrees
Obtuse Angle- Bigger than 90 degrees
Right Angle- 90 degrees
We are given that one centimeter represents 12.5 feet. Thus, the dimensions in centimeters of the scale drawing will be 12.5 times larger in feet for the actual room.
Multiply 10 cm with 12.5 to get the length of the room in feet.
The length of the room is 125 feet. Multiply 8 cm with 12.5 to get the width of the room in feet.
The width of the room is 100 feet. Now, we multiply the length with the width to get the area of the room.
The area of the room is 12,500 feet squared. Let me know if you need any clarifications, thanks!
~ Padoru