The number of ways to choose the colors is 36
<h3>How to determine the number of ways?</h3>The given parameters are:
Colors = 9
Colors to choose = 7
Since order does not matter, then it is combination
This is calculated using:
This gives
Evaluate
Hence, the number of ways is 36
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Answer:
6. y² = 169x
7. y² = 12x
8.
Step-by-step explanation:
The equation of a quadratic function in vertex form is given by
(y - α)² = 4a(x - β)
Where, (α,β) is the vertex of the function and a is the distance from vertex to its focus.
6. Here, (α,β) ≡ (0,0) and a point on the equation is (1,13)
So, the equation will be y² = 4ax
⇒ 13² = 4a(1)
⇒ 4a = 169
Therefore, the original equation will be y² = 169x (Answer)
7. Here also the vertex is (0,0) and a point on the equation is (3,-6),
So, (-6)² = 4a(3)
⇒ 4a = 12
So, the equation is y² = 12x (Answer)
8. Here also the vertex is (0,0) and a point on the equation is (),
So,
⇒
So, the equation is (Answer)
Answer:
Option (c) is correct
Step-by-step explanation:
Case (a)
A = 3 + 5i = (3, 5)
B = 2 + 2i = (2, 2)
C = 5i = (0, 5)
Use the distance formula to find the distance between two points
For the triangle to be right angles triangle
Here, it is not valid, so these are not the points of a right angled triangle.
Case (b)
A = 2i = (0, 2)
B = 3 + 5i = (3, 5)
C = 4 + i = (4, 1)
Use the distance formula to find the distance between two points
For the triangle to be right angles triangle
Here, it is not valid, so these are not the points of a right angled triangle.
Case (c)
A = 6 + 4i = (6, 4)
B = 7 + 5i = (7, 5)
C = 8 + 4i = (8, 4)
Use the distance formula to find the distance between two points
For the triangle to be right angles triangle
Here, it is valid, so these are the points of a right angled triangle.