Answer:
(I am assuming that you don't need the answer, but just an explanation of what to do.) Let's take the first problem for an example the first thing you are going to do is subtract 12 on both sides and you will get n> -1 so then you will put a open circle on -1 going to the right.
Hope this helps :)
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Answer:</h3><h3>If you know one ratio in a proportion , you can use that information to find values in the other equivalent ratio. </h3>
Answer:
(a)
The equation of the given curve is y=x2−2x+7.
On differentiating with respect to x, we get:
dxdy=2x−2
The equation of the line is 2x−y+9=0.⇒y=2x+9
This is of the form y=mx+c.
Slope of the line =2
If a tangent is parallel to the line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.
Therefore, we have: 2=2x−2
⇒2x=4⇒x=2
Now, at x=2
⇒y=22−2×2+7=7
Thus, the equation of the tangent passing through (2,7) is given by,
y−7=2(x−2)
⇒y−2x−3=0
Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.
(b)
The equation of the line is 5y−15x=13.
Slope of the line =3
If a tangent is perpendicular to the line 5y−15x=13,
then the slope of the tangent is Slope of the line−1=3−1.
⇒dxdy=2x−2=3−1
X+3x=36 reduces to 4x=36, so when you divide both sides by 4, x=9
