Answer:
The coordinates of 
are 
and 
.
Step-by-step explanation:
Let be 
and 
endpoints of segment AB and a point located 7/10 the way from A to B. Vectorially, we get this formula:
By Linear Algebra we get the location of :
If we know that 
and 
, then:
The coordinates of are and .
Answer:
GE = 3 cm
Step-by-step explanation:
BE = 9 cm
Since G is the centroid, therefore:
=> Centroid theorem
Plug in the value
GE = 3 cm
Answer:
405 cm²/s
Step-by-step explanation:
The dimensions are increasing at the rate of 3 cm/s, so the dimensions in cm can be described as a function of time by ...
3 + 3t
and
6 + 3t
Then the area is the product of these, or ...
A = (3 +3t)(6 +3t)
A = 9t² +27t +18
and the rate of change of area is given by its derivative with respect to t:
A' = 18t +27
When t=21, the value of this is ...
A'(21) = 18·21 +27 = 405 . . . . cm²/s
Answer = 86.135 squared.
To find the area of this figure the best action would to divide it into three different sections, finding the area of each and then adding them all together.
First, find the area of the square in the center, which would be 60in.
Second, find the area of the half circle. You would use the formula for area of a circle. You would divide this answer by 2 since this is only half of a circle. You would get 14.135in.
Last, you would find the area of the triangle. You would multiply both sides and then divide by 2, since it’s a triangle and not a square. Area for this is 12in.
And then you would add all these together.
