Answer:
The answer is b.) hope this helped.
Step-by-step explanation:
Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
We have the following curve:

So we need to find <span>an equation of the
tangent line to this curve at the point

. So let's find out if this point, in fact, belongs to the curve:
</span>

.
<span>
We also know that:
</span>

<span>
Given that the point is:
</span>

Then we will say that:

Therefore:

Computing the derivative:

So the derivative solved for

is in fact the
slope of the line at the point

, then:

Finally, the tangent line is:

<em>This is shown in the figure below.</em><span>
</span>
Answer:
-11u
Step-by-step explanation:
Answer:
x=14
Step-by-step explanation:
1
+2 = 6 --------------- put nums on 1 side
1
= 4 -------------------by the way, 1
=4 ------------- square both sides
x+2 = 16 --------------- subtract 2 from both sides
x = 14