Each of the following statements is true or false. Which statements are true?
2 answers:
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Answer:
Option D
Step-by-step explanation:
Rate of change of a linear function between two points and
is given by,
Rate of change 'm' =
From the given table,
Rate of change of the function between (-2, 6) and (-4, 9),
Rate of change 'm' =
m =
Initial value = y-intercept
Let the equation of the line passing through a point (h, k) is,
y - k = m(x - h)
If a point (-2, 6) is lying on the graph of the function,
y - 6 =
y =
y =
Y-intercept of the function = 3
Therefore, initial value of the function = 3
Option D is the answer.
Answer:
Check the image below
Step-by-step explanation:
Answer:
(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.
Step-by-step explanation:
From the figure, the coordinate of the tail of the vector,
The coordinate of the head of the vector,
The magnitude of a vector is the length between the head and tail of the vector.
By using the distance formula,
the magnitude of the vector
Now, let be the angle made by the vector with the positive direction of the x-axis, so
So, the magnitude of the vector is which makes
with the positive direction of the x-axis.
Hence, option (B) is correct.