A) Isolate y in both inequalities
1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3
B) Draw the lines for the following equalities:
1) y = 4 - x
2) y = 2x - 3
C) Shade the regions of solutions
1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3
The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3
Subtract 153-63=90 and I am pretty sure that's what you have to do
9514 1404 393
Answer:
6 feet
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
For a sphere, the volume is ...
V = 4/3πr^3
You want the volumes to be the same when h=8, so we have ...
πr^2·8 = 4/3πr^3
Dividing by πr^2, we have ...
8 = 4/3r
r = 3/4·8 = 6
The radius is 6 feet.
Answer: $11,300
Step-by-step explanation:
Given the following :
Buyer Josh's offering price = $452,000
Required deposit rate = 2.5%
Earnest money deposit is the product of :
Offering price × required deposit accepted
$452,000 × 2.5%
$452,000 × 0.025 = $11,300
Answer:
ED = 12 and FD = 24
Step-by-step explanation:
See the attached diagram.
The perpendicular distance between the three parallel lines are same i.e. AB = BC = 8
Therefore, the parallel lines will divide any transverse line ( say FD ) in 1 : 1 ratio i.e. will divide equally.
Therefore, FE = ED = 12 units.
Again, FD = FE + ED = 12 + 12 = 24 units. (Answer)
