how to graph y=3/4x.
what angle does y=9/7x+2 make with the x axis?
simplify 2/squarerootof5.
simplify square root of 10 times 6.
simplify squareroot48
You should not expect somebody just to do your homework for you.
for y=(3/4)x isn't the y-intercept zero?
so the origin is one point.
the slope is 3/4, slope is rise over run.
so from the origin take a "run" of 4 followed by a "rise" of 3, giving you a second point.
See how easy it is???
Let me know what you got for the others so far.
To graph the equation y = (3/4)x, we can start by plotting the y-intercept, which is the point where the line intersects the y-axis. In this case, the y-intercept is 0, so we plot the point (0,0).
Next, we can use the slope of the line to find additional points. The slope is 3/4, which means that for every 4 units we move horizontally (run), we move 3 units vertically (rise). Starting from the y-intercept, we can move 4 units to the right and then 3 units up to reach another point on the line.
So, from the point (0,0), we move 4 units to the right to get to the point (4,3).
Now we have two points: (0,0) and (4,3). We can draw a straight line through these points to represent the graph of y = (3/4)x.
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To find the angle that the line y = (9/7)x + 2 makes with the x-axis, we can use the slope of the line. The slope of the line is 9/7, which can be interpreted as the tangent of the angle.
The tangent of an angle is equal to the ratio of rise (change in y) to run (change in x). In this case, the ratio is 9/7.
Taking the inverse tangent (arctan) of 9/7 will give us the angle in radians. To convert radians to degrees, multiply by 180/π.
So, the angle can be calculated as follows:
angle = arctan(9/7) * (180/π)
Using a calculator, you can find the approximate value of the angle.
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To simplify 2/sqrt(5), we can rationalize the denominator. This means we multiply both the numerator and denominator by the conjugate of the denominator.
The conjugate of sqrt(5) is -sqrt(5), so we have:
(2/sqrt(5)) * (-sqrt(5)/-sqrt(5))
Simplifying the numerator and denominator, we get:
(-2sqrt(5))/(5)
Thus, 2/sqrt(5) simplifies to -2sqrt(5)/5.
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To simplify sqrt(10) * 6, we can multiply the terms together:
sqrt(10) * 6 = 6 * sqrt(10)
The final result is 6sqrt(10).
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To simplify sqrt(48), we need to find any perfect square factors that can be extracted from the radicand.
48 can be written as 16 * 3. Taking the square root of 16 gives us 4, so we can simplify sqrt(48) as:
sqrt(48) = sqrt(16 * 3) = sqrt(16) * sqrt(3) = 4 * sqrt(3)
Therefore, sqrt(48) simplifies to 4sqrt(3).