Answer:
<em>f(x) = 1/2x + 4</em>
Step-by-step explanation:
The rise of the function is 1 and the run is 2, so our slope is .5 or 1/2!
The function crosses the y-intercept at point (0,4) so our b value is positive 4!
Answer:
m < 3 = 90 - 46 = 44 degrees answer.
Step-by-step explanation:
<u>Answer:</u>
<u>Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .</u>
<u>Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.</u>
<u>Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.c. The rays corresponding to supplementary angles intersect the unit circles in points having the same y-coordinate, so the two angles have the same sine (and opposite cosines).</u>
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Answer: y = -(9/5)x - 1
Step-by-step explanation:
Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]
A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:
y = -(9/5)x + b
We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.
8 = -(9/5)*(-5) + b
8 = (9) + b
b = -1
The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is
y = -(9/5)x - 1
16/25 = 0.64 = 64%
Another way to do it is to multiply top and bottom by 4
16/25 = (16*4)/(25*4) = 64/100 = 64%
Either way, the answer is 64%