Log(b)b^6x simplified is b^6xlog(b)
Answer:
Step-by-step explanation:
(4,1/3) and has a slope of 3/4
y - y1 = m(x - x1)
m = 3/4, y1 = 1/3, x1 = 4
y - 1/3 = 3/4(x - 4)
Multiply each term by 12
12y - 4 = 9x - 36
12y = 9x - 36 + 4
12y = 9x - 32
The y-intercept of the line that is shown if the slope is 0 is: 2.
<h3>What is the Y-intercept of a Graph?</h3>
The y-intercept of a graph is the value of y when x = 0, which is the point on the vertical axis (y-axis) where the line intercepts.
The graph given is an horizontal line having a slope value of 0. The equation of the line is therefore, y = 2.
Thus, from the given graph, the y-axis is intercepted by the line at y = 2. At this point where y = 2, the corresponding value of x is 0.
Therefore, the y-intercept of the line that is shown if the slope is 0 is: 2.
Learn more about y-intercept of a line on:
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The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
<h3>Trigonometric ratios</h3>
Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
learn more on trigonometric ratios here: brainly.com/question/24320387
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