First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
-1
Step-by-step explanation:
-2(x-7)=16
-2x +14=16 You distribute
-14 -14
-2x = 2
-2 -2 you divide
and get -1 as your answer.
Hope my answer has helped you!
7y + 10x = 99
y - x = 2
y = 7 , x = 5
The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450, y = 450 : 3 y = 150
x = 15 + y x = 15 + 150 x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.
-13>-5x+2>-28 subtract 2 from all expressions
-15>-5x>-30 divide each expression by -5
Be sure to reverse direction of signs when you divide/multiply by a negative value!
3<x<6
So the "graph" will be a infinitely high plane, or area, contained between the two vertical lines x=3 and x=6
