Answer:
Step-by-step explanation:
The equation of the curve is
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is 
Then slope would accordingly be
= ∞
For, , 
Equation of tangent line, in the point slope form, would be
Answer:
2nd graph (image)
Step-by-step explanation:
The function to graph is:
It follows the general pattern of the function: 
, which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).
The answer is either 1st, or 2nd graph.
Now, we simply can check a point in both.
lets take x = 4, so the function would be:
f(4) = 4/4 = 1
Hence, point is:
(4,1)
The first graph doesn't go through this point. The second graph does.
hence, we can successfully choose the 2nd graph as our answer.
Answer: x=11
Step-by-step explanation:
First distribute 3 to both x and -3.
3x-9=24
Then add 9 to both sides to leave the x on its own.
3x=33
Divide by 3 on both sides.
X=11
The four answer choices are equal and pass through the point (-3,1), which you verify replacing the variables:
y - 1 = (x + 3)
1 - 1 = -3 + 3
0 = 0.
The other factor that you have to considerate is the slope.
The slope of the equation y - 1 = x + 3 is 1 (the coefficient of the x).
Given that the slopes of two parallel line are the same (equal), you need to determine the slope of the parallel line.
Once you know the slope of the parallel line, you can choose the right option.
The equation shown, y - 1 = x + 3 is the right fit if and only if the parallel line has slope 1.
Answer:
2⁴ = 16
Step-by-step explanation:
