3. Given 4x − 8y = 8: (a) Transform the equation into slope-intercept form. (b) Find the slope and y-intercept of the line. (c)
1 answer:
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Answer: See step by step. Replace the x with theta
Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.
We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.
We can find tangent by using the identity
where x is theta.
tan x=, Tangent in the fourth quadrant is negative so the answer is instead
We can find cotangent by taking the recipocial of tan so
We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is
We can find sin by doing quoteint identies.
To find csc, take reciprocal of sine.
Question:
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?
A. 2/5
B. 1
C.2
D.5/2
The image of the graph is attached below.
Answer:
Option D: 5/2 is the average speed over the interval [9,11]
Explanation:
The graph shows the distance in miles of a runner over x hours.
Now, we need to determine the average rate of speed over the interval
The x-axis represents the time taken.
The y-axis represents the distance.
To find the average speed, let us use the formula for speed which is given by
Thus, substituting the coordinates and
, we have,
Hence, the average speed over the interval is
