Answer:
As ![x \to -3^{+}, f(x) \to -\infty](https://tex.z-dn.net/?f=x%20%5Cto%20-3%5E%7B%2B%7D%2C%20f%28x%29%20%5Cto%20-%5Cinfty)
Step-by-step explanation:
Given:
From the graph, we can conclude that:
The function has vertical asymptotes at ![x=-3\ and\ x=2](https://tex.z-dn.net/?f=x%3D-3%5C%20and%5C%20x%3D2)
The function has horizontal asymptote at ![f(x)=0](https://tex.z-dn.net/?f=f%28x%29%3D0)
Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.
Now, as
means the right hand limit of the function at ![x=-3](https://tex.z-dn.net/?f=%20x%3D-3)
From the graph, the right hand limit is the right side of the asymptote of the function at
. The right side shows that the function is tending towards negative infinity.
Therefore, As ![x \to -3^{+}, f(x) \to -\infty](https://tex.z-dn.net/?f=x%20%5Cto%20-3%5E%7B%2B%7D%2C%20f%28x%29%20%5Cto%20-%5Cinfty)
Answer:
option D : 130°
Step-by-step explanation:
m∠2 = m∠7 = 130° , (corresponding angles)
Answer:
y=4x-4
slope of the line=-4/-1
4/1
since perpendicular,
m1.m2=-1
4.m2=-1
m2=-1/4
The equation of line passing through the point (4,2)is
y-y1=m2(x-x1)
y-2=-1/4(x-4)
Step-by-step explanation:
i don't say that you have to mark my ans as brainliest but my friend if it has helped you a bit also don't forget to thank me.....
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
brainly.com/question/7098341
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Negative integer.
-761 + 317= -444
Plug the answer in:
-761 - (-444)
= -317
Reminder: when multiplying two negatives, you get a positive.