Answer: b.
Step-by-step explanation:
Based on the information given, you can write the following expression:
Where k is the the constant of variation
If y=4/63 when x=3, then you can substitute these values into the expression and solve for k:
Substitute k into the expression. Then the equation is:
Substitute x=5 into the equation. Then, y is:
Answer:
Step-by-step explanation:
Given:
Number of questions (N) = 16
Number of easy questions (E) = 8
Number of medium-hard questions (M) = 5
Number of hard questions (H) = 3
Now, the probability of getting the first question as easy question is given as:
Now, probability of getting the second question as easy question is given as:
Now, probability that the first two contestants will get easy questions is given by the product of . So,
Therefore, the probability that the first two contestants will get easy questions is
Triangle RST was transformed by using the rule (x,y) → (-x,-y) and the transformation is described by the transformation of 180° rotation about the origin.
Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Here we have transformed the triangle using the rotation method.
Rotation is the geometric transformation that revolves each point in a shape a predetermined number of degrees around that point. When the number of degrees is positive, the shape spins counterclockwise; when the number of degrees is negative, it rotates clockwise. The following is a broad description of how rotation about the origin can be transformed.
Here the points change to R'(-1,-1) , S'(-3,-1) and T'(-1,-6).
A 180° rotation about the origin will be the transformation.
The triangles RST and R'S'T' are first plotted on a graph. The graph is provided for your reference below.
The original triangle RST, which was in quadrant 1, has changed to triangle R'S'T', which is in quadrant 3, as shown in the graph. The rotation around the origin is 180° from quadrant 1 to quadrant 3.
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Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
R (1, 1)
S (3, 1)
T (1, 6) R' (–1, –1)
S' (–3, –1)
T' (–1, –6)
Which describes the transformation?
The transformation was a 90° rotation about origin.
The transformation was a 180° rotation about origin.
The transformation was a 270° rotation about origin.
The transformation was a 360° rotation about origin.
Learn more about "transformation of triangles" here-
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