Answer:
see below
Step-by-step explanation:
1.the equations have different slopes? They will intersect at one point so one solution
2.the equations have the same slope and different y-intercepts. They are parallel lines with a different y intercept so they will never intersect - no solutions
3.the equations have the same slope and same y-intercepts. they are the same line so they have infinite solutions
First, open the parenthesis. You get
6x^2 - 24x -16x^2 - 9x + 1
Then simplify to
-10x^2 - 33x +1
Answer:
x ≈ 6.6 cm
Step-by-step explanation:
The Pythagorean theorem applies. The sum of the squares of the legs of this right triangle equals the square of the hypotenuse:
x^2 + 13.5^2 = (x+8.45)^2
x^2 +182.25 = x^2 +16.9x +71.4025
110.8475 = 16.9x . . . . . subtract x^2 +71.4025
6.559024 = x . . . . . . . .divide by 16.9
The value of x is about 6.6 cm.
Answer:
the answer is 1/3 pie r2h
Step-by-step explanation:
The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder.
Also r=d/2 , where d is the diameter of the cylinder.
Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume = π(r/2)²h
=π(r²/4)h
=(1/4) πr²h
Therefore the volume becomes one-fourth of the initial volume.
Answer:
this is how to do it. Now find the answer
Step-by-step explanation:
find the common factor for the denominators, which is 30.
then × the numerator by however much you ×tl the denominator by to get 30
