The picture in the attached figure
we know that
surface area=2*area of the base+perimeter*height
area of the base=area of the triangle
area of the base=3*4/2----> 6 cm²
perimeter of the base=perimeter of triangle
perimeter=3+4+5----> 12 cm
height=x cm
surface area=2*6+12*x
surface area=204 cm²
12+12*x=204
12*x=204-12
12*x=192
x=192/12
x=16 cm
the answer is16 cm
It is true because
when you separate 2y^2 +9y -18, you are supposed to get the factors
(2y-3)(y+6), when you multiply this it gives you the first equation, we know
this because when we multiply the first term it gives us exactly 2y^2 and if we
multiply the last ones it gives you -18, now here is the tricky part, when we
multiply the middle part we get 12y and -3y, when we add these up we get 9y,
now is that the same middle as in the equation? Yes… then our factors are correct
making this true
Hope this helps
Answer: C
Step-by-step explanation:
A monomial is a expression where in it is x to the power of something, and x cannot be a denominator
Answer: 
or 
Step-by-step explanation:
The volume of a cylinder can be found with the following formula:
Where "r" is the radius and "h" is the height of the cylinder.
In this case, let be:
- 
the volume of one of this cylinders and 
the volume of the other one.
- 
the radius of the first one and 
the radius of the other cylinder.
- 
the height of one of them and 
the height of the other cylinder.
Then:
Therefore, you know this:
Simplifying, you get:
Now, knowing the ratios given in the exercise, you can substitute them into the equation:
Evaluating, you get:
Answer:
y=-x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(5-3)
m=-2/2
m=-1
y-y1=m(x-x1)
y-1=-1(x-3)
y-1=-x+3
y=-x+3+1
y=-x+4
