Answer:
Step-by-step explanation:
<u>In order to find the vertical asymptotes make the denominator equal to zero and solve:</u>
- 2x + 18 = 0
- 2x = - 18
- x = - 9
There is one vertical asymptote since the denominator is linear expression
Move the variables to one side and the constants to the other
50q - 43 = 52q - 81
50q (-52q) - 43 (+43) = 52q (-52q) - 81 (+43)
50q - 52q = -81 + 43
-2q = -38
isolate the q, divide -2 from both sides
-2q/-2 = -38/-2
q = -38/-2
q = 19
hope this helps
Answer:
in mathematics, the sine is a trigonometric function of an angle.
Step-by-step explanation:
The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
Fixed point: 0
Critical point: kπ + π/2
Inflection point: kπ hope this helps you :)
x = a number
4x - 63 = x
Subtract 4x from both sides.
-63 = -3x
Divide both sides by -3
21 = x
Answer: sqrt(61)
Step-by-step explanation:
For parts a) and c1), refer to the attached picture.
For part b), the distance formula is:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Using x1 = -1, y1 = -4, x2 = -6, y2 = 2:
d = sqrt[(-6 + 1)^2 + (2 + 4)^2] = sqrt[25 + 36] = sqrt(61)
Part c2) Another way to find the length of AB without using the distance formula is by drawing the line and measuring it according to the scale.
Part d) This will only work as long as the graph paper is accurately made, and the scale computation is done correctly. However, this will only give approximations, and will not give an exact answer when radicals are involved.