Answer:
x=8
Step-by-step explanation:
2x-6+4=14
Combine like terms
2x-2=14
Add 2
2x=16
Divide
x=8
Checking work)
2(8)-2=14
16-2=14
14=14
Answer:
The volume of the solid will be = 134.1 cubic units.
Step-by-step explanation:
The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.
Therefore, the solid will be the shape of a hemisphere.
Now, the radius of the hemisphere will be 4 units.
{Since the base of the hemisphere is on the xy-plane and have equation
x² + y² = 4²}
Therefore, the volume of the solid will be = 
cubic units. (Answer)
71x^2
(71 x squared units of the house will be left).
Subtract Area of house from area of lot.
Area of house - 3x * 2x = 6x^2
Area of lot - 11x*7x= 77x^2
77xx -6xx = 71x^2
you cannot find the x value; not enough information is given.
Answer:
c=-1/4
Step-by-step explanation:
Y=2x+c=2(x+c/2), so m=2.
To be tangent we need to check y’ of parabola: y’=2x+3.
So for some x it must be 2x+3=2 (cause m=2). We have x=-1/2.
Now we use x=-1/2 to find y from 2nd equation (equation of parabole): we got y=1/4-3/2=-5/4.
So tangent has point (-1/2,-5/4).
Put that point in firts equation (equation of line): -5/4=-1+c,
so we have c=-1/4.
