Answer:
Cubic meters or m³
Step-by-step explanation:
The meter is the standard unit in the metric system. When we are calculating the volume, we usually take the 3 measures (length, width and height) in meters.
Therefore, once that we calculate the volume using this unit (meters) we obtain the result in cubic meters which is the standard unit of volume in the metric system.
To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:
(x1+x2/2, y1+y2/2)
( (16 + -6)/2, (5 + -9)/2 )
Now, we can begin to simplify by computing the addition in the numerators of both fractions.
(10/2, -4/2)
Next, we can finish the simplification process by dividing these fractions.
(5, -2)
Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).
Hope this helps!
Answer:
<em>Point P has coordinates (7,9) (last choice)</em>
Step-by-step explanation:
We are given the endpoints A(2,4) B(8,10) and the point P lying on the segment AB with the condition that P partitions it in the ratio 5:1.
This means the distances AP, PB and AB follow the conditions:
AP+PB=AB
We can work with each coordinate separately. Suppose P has coordinates (x,y), thus:
Adding 5x and subtracting:
Dividing by 6:
Substituting:
x=7
Now for the y-axis:
Substituting:
y=9
Point P has coordinates (7,9) (last choice)
(a-8b)(a-10b)
-8ab+-10ab= -18ab
-8b times -10b = 80b^2
256 to the 4th power is 4294967296