Answer:
-2 ≤x ≤10
Step-by-step explanation:
the domain refers to the x
the x is in between -2 and 10
A triangle is a triangle is two of the side lengths is greater than the third side.
A- (18+6= 24). (24>23). (13+6=19). (19>18). This is a triangle.
B- (13+22=35). (35>7). (22+7=29). (29>13). (13+7=20). (20<22) This is not a triangle.
C- (22+13=35). (35>8). (13+8=21). (21<8). This is not a triangle.
D- (6+18=24). (24>12). (12+6=18). (18=18) This is not a triangle.
The correct answer is A.
Answer:
See below.
Step-by-step explanation:
A(1, 4)
B(3, 0)
C(-3, -2)
We find the coordinates of he midpoints using the midpioint formula.
D([1 + 3]/2, [4 + 0]/2) = D(2, 2)
E([1 + (-3)]/2, [4 + (-2)]/2) = E(-1, 1)
We find the slopes using the slope formula.
slope of BC:
m_BC = (-2 - 0)/(-3 - 3) = -2/(-6) = 1/3
slope of DE:
m_DE = (1 - 2)/(-1 - 2) = -1/(-3) = 1/3
Since the slopes of BC and DE are equal, the lines are parallel.
8x - 3 is a factor common to both parts so we can write it as
(x + 7)(8x - 3)
The correct answer is The line will be less steep because the rate will be slower
Explanation:
The rate of the graph is defined by the number of gallons filled vs the time; this relation is shown through the horizontal axis (time) and the vertical axis (gallons). Additionally, there is a constant rate because each hour 2,500 gallons are filled, which creates a steep constant line.
However, if the rate decreases, fewer gallons would be filled every hour, and the line will be less steep, this is because the number of gallons will not increase as fast as with the original rate. For example, if the rate is 1,250 gallons per hour (half the original rate), after 8 hours the total of gallons would be 1000 gallons (half the amount of gallons); and this would make the line to be less steep or more horizontal.
