is differentiable across its domain, so the MVT says there is some value of
in the open interval
such that
You have
so the equation above becomes
Solve for
.
so
is indeed the average of the endpoints, i.e. the midpoint.
Answer:
Measure of E'F' = 9
Step-by-step explanation:
If a quadrilateral is dilated by a scale factor of , all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.
Scale factor =
E'F' =
= 9
Therefore, measure of side E'F' will be 9.
Answer:
a = 8, b =
Step-by-step explanation:
Given the exponential function
f(x) = a
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a [ = 1 ] , then
a = 8
f(x) = 8
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
= b² , that is
b² = ( take the square root of both sides )
b = =
Thus
f(x) = 8
4 (originally) - 3 (leftover) = 1 KG (eaten)
1* ( 1000) = 1000g
(there is 1000g in 1 KG)
Answer:
180-x
Step-by-step explanation:
its 180 degrees because the lines are parallel