Line segment AB and CD both are congruent with the length of 16 units.
We have been given two line segment AB and CD of whose coordinates are :
A = -7 , B = 9 and C = -4 , D = 12
The distance formula is given as |x2 – x1|
Therefore the length of AB = |9 – (-7)|
= 9 + 7
= 16
The length of CD = |12-(-4)|
= 12 + 4
= 16
Note that when two line segments are congruent then their distance is equal.
Thus both the line segment AB and CD are congruent with a length 16 unit.
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Answer:
Constant of Proportionality is 50.
Step-by-step explanation:
Albatross can fly 400 kilometers in 8 hours.
'd' represents the distance and 't' represents the number of hours.
The equation
represents the relationship between the distance and time.
Now, in the equation shown above 50 is the constant of proportionality, and 50 represents the rate of change of distance with time.
The constant of proportionality tells us the rate of change between two variables.
So for every 1 hour of time the distance covered is 50 kilometers.
Answer:
(b) 1
Step-by-step explanation:
To differentiate
we will need the product rule:
.
We have
, so the following equation is true by the transitive property:

By subtraction property we have:

Since
, then we can divide both sides by
:


This implies
is constant.
So we have that
where
is a real number.
Since
and
, then by transitive property
.
So
.
Checking:


So the following conditions were met.
Answer:
3a -2c +8
You have to combine the same letters together, which is only 2c and -4c. Then you just write the rest of the equation.