Answer:
A and C
Step-by-step explanation:
Put the points on a graph and determine if they are perpendicular.
They are, in fact, perpendicular.
Answer:
.
Step-by-step explanation:
Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to
. Make use of the power rule to find the following:
.
.
The question states that the graphs of
and
touch at
, such that
. Therefore:
.
On the other hand, since the graph of
and
coincide at
,
(otherwise, the two graphs would not even touch at that point.) Therefore:
.
Solve this system of two equations for
and
:
.
Therefore,
whereas
.
Substitute these two values back into the expression for
and
:
.
.
Evaluate either expression at
to find the
-coordinate of the intersection. For example,
. Similarly,
.
Therefore, the intersection of these two graphs would be at
.
Answer:
First,
the age of the son: s
the age of the father is 2 less than 7 times the age of his son: 7s - 2
In 3 years, the sum of their ages will be 52, In 3 years, the age of the sun will
increase 3, so s+3. Also, the age of his
father also increase 3, (7s-2)+3
(s+3)+ [(7s-2)+3] = 52 is the equation.
Answer:
2100 second
Step-by-step explanation:
4:30 pm to minutes
4 × 60 + 30 = 240 + 30
= 270 minutes
5:05 to minutes
5 × 60 + 5 = 300 + 5
= 305
4:30 to 5:05
305 - 270
= 35 minutes
35 minutes to second
35 × 60
= 2100 second
¼ is equal to 0.25 because when you times by 4 you get a whole :)