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3241004551 [841]
3 years ago
6

a. For f (x )equals StartFraction 9 Over x EndFraction ​, find an equation for the secant line through the points where xequals2

and xequals9. b. For f (x )equals StartFraction 9 Over x EndFraction ​, find an equation for the line tangent to the curve when xequals2.
Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

b

Step-by-step explanation:

bbnsnm

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A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra
Harman [31]

Answer:

<em>A.</em>

<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>

<em />cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}

Step-by-step explanation:

Given

P\ (a,b)

r = \± \sqrt{(a)^2 + (b)^2}

cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

r = \sqrt{(a)^2 + (b)^2}

Since a belongs to the x axis and b belongs to the y axis;

cos\theta is calculated as thus

cos\theta = \frac{a}{r}

Substitute r = \sqrt{(a)^2 + (b)^2}

cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}

cos\theta = \frac{a}{\sqrt{a^2 + b^2}}

Rationalize the denominator

cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}

cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}

So, from the list of given options;

<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>

3 0
2 years ago
Can two different numbers have the same absolute value? If yes, give an example. If no, explain why not
zalisa [80]


If u wanna go by a technical term then yes, it can. The positive and negative side of a number. 4 example, -5. It's absolute value is 5. Positive 5's absolute value is 5 as well.

Now if u don't wanna be technical and don't want to use negative numbers, then no, it cannot.

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What is the mean? If the answer is a decimal, round it to the nearest tenth.
Vlad1618 [11]

Answer:

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Step-by-step explanation:

7+9+7+9+15+0+1+13+11+1=73

There are 10 numbers.

73/10=7.3        

4 0
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1. Distance between points is 7

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