Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
where 
, the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, 
For option B, 
For option C, 
For option D, 
Since, the equation is option A has smallest value of |p|, therefore, the equation 
represents the steepest parabola.
Hence, the correct option is A.
Given:
7 red candies
9 blue candies
12 pink candies
Condition:
Number of bags that has equal number of candies.
We can do 7 bags with 1 colored candy each. There will be an excess of 2 blue candies and 5 pink candies.
We can do 4 bags with 1 red candy, 2 blue candies, 3 pink candies. There will be an excess of 3 red candies and 1 blue candy.
We can do 3 bags with 2 red candies, 3 blue candies, 4 pink candies. There will be an excess of 1 red candy.
Answer:
Multiply each equation by the value that makes the coefficients of
x
opposite.
(
−
3
)
⋅
(
2
x
+
5
y
)
=
(
−
3
)
(
20
)
(
2
)
⋅
(
3
x
−
10
y
)
=
(
2
)
(
37
)
Step-by-step explanation:
The question is related to trigonometry and we have to use the formula of double angle .
Here we use double angle formula of tangent function which is
Given expression is
Comparing it with double angle formula, we will get x = 5
SO the required expression is equal to
So the answer is tan(10) .
