Vertical asymptotes happen at x=a if the function is undefined at x=a.
This is a rational functions, and rational functions are not defined when the denominator is zero, since you can't divide by zero.
In this case, the denominator is zero if
And thus the function has a vertical asymptote at x= -3/2
27= 3x3x3
54 = 3x3x3x2
so 27/54 = 3x3x3 /<span>3x3x3x2 by simplifying = 1/2</span>
Answer:
Assume that the number is 100. Then, 20% of 100 is 20×100100 = 20. Increasing 100 by 20% means increasing 100 by 20 and the resultant number is 120.
It should be noted that the angle at the center of the circle is twice the angle at the circumference.
<h2>
Circle Theorem</h2>
It should also be noted that the angle in a semicircle is a right angle. Angles that are in the same segment are equal.
Furthermore, the opposite angle that is in a cyclic quadrilateral sum is 180°. The angle between the chord and the tangent is also equal to the angle in the alternate segment.
Learn more about circles on:
brainly.com/question/24375372
3x - 2y = 13
-2y = -3x + 13
y = 3/2x - 13/2...slope is 3/2, y int is -13/2
2x + 3y = -16
3y = -2x - 16
y = -2/3x - 16/3...slope = -2/3, y int is -16/3
perpendicular lines will have negative reciprocal slopes. To find the negative reciprocal of a number, flip the number and change the sign.
On the 1st equation, the slope was 3/2....find its negative reciprocal.....flip it, making it 2/3....change the sign...making it -2/3. So the negative reciprocal of 3/2 is -2/3.
So if one equation has a slope of 3/2 and another equation has a slope of -2/3, then these lines are perpendicular <==
