Answer:
20
Step-by-step explanation:
Area=base times height
Base=4 cm, height=5
4 x 5 =20
Answer: 20cm^2
. 7 prizes are to be distributed between 3 people with a guarantee that each person gets at least one prize. Find the number of
1 answer:
Answer:
Total number of ways to distribute the prize = 2187
Step-by-step explanation:
Given:
Number of prizes = 7
Number of peoples = 3
We need to find the total number of ways to distribute the prize.
Solution:
From the above statement, 7 prizes are to be distributed between 3 people, wherein each person gets at least one prize.
Each prize is to be distributed among three persons. When the first prize is to be awarded, one of the three is chosen to win the prize. When the second prize is to be awarded, there are again three choices.
So, total number of distribution of the prizes is given as:
Therefore, total number of ways to distribute the prizes = 2187
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Answer:
The parabola has a horizontal tangent line at the point (2,4)
The parabola has a vertical tangent line at the point (1,5)
Step-by-step explanation:
Ir order to perform the implicit differentiation, you have to differentiate with respect to x. Then, you have to use the conditions for horizontal and vertical tangent lines.
-To obtain horizontal tangent lines, the condition is:
(The slope is zero)
--To obtain vertical tangent lines, the condition is:
(The slope is undefined, therefore the denominator is set to zero)
Derivating respect to x:
=
Solving for dy/dx:
Applying the first conditon (slope is zero)
Solving for y (Adding 2x+4, dividing by 2)
y=x+2 (I)
Replacing (I) in the given equation:
Replacing it in (I)
y=(2)+2
y=4
Therefore, the parabola has a horizontal tangent line at the point (2,4)
Applying the second condition (slope is undefined where denominator is zero)
2y-2x-8=0
Adding 2x+8 both sides and dividing by 2:
y=x+4(II)
Replacing (II) in the given equation:
Replacing it in (II)
y=1+4
y=5
The parabola has vertical tangent lines at the point (1,5)