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3 years ago

Prove that the tangent at any point of a circle is perpendicular to the radius

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

1. OR=OQ+QR
2. OR>OQ
3.OR>OP
4.OP<OR
5.OP is the shortest of all segments from O to PT
6.OP is perpendicular to PT

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What is the value of i 97 – i? –i 0 –2i i Superscript 96

Valentin [98]

The question is not clearly readable, but I'm assuming the expression which makes more sense, so you can have a clue

Answer:

$i^{97}-i=0$

Step-by-step explanation:

Powers of The Imaginary Unit

The imaginary unit i is defined as

$i=\sqrt{-1}$

The first powers of i are

$i^0=1$

$i^1=i$

$i^2=(\sqrt{-1})^2=-1$

$i^3=i.i^2=-i$

$i^4=i^2.i^2=1$

And so on the cycle repeats every four numbers. To find the value of $i^{96}$ we can find the remainder of 96/4=0. So $i^{96}=i^0=1$

The given expression is

$i^{97}-i$

Factoring

$i(i^{96}-1)$

Since $i^{96}=1$

$=i(1-1)=0$

The required value is 0

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3 years ago

Read 2 more answers

The variables y and x have a proportional relationship, and y =5 when x=4

patriot [66]

Answer:The value of x is 6.4

Step-by-step explanation:

5/8=4/x use cross product.

5x=32 divide both sides by 5

x = 6.4

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3 years ago

Each question Sandra answers incorrectly changes her overall score by -3/4 points. Sandras overall score was -4 1/2 points , and

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What is the radius of convergence of the maclaurin series (2x)/(1+x^2)?

kramer

To solve this problem you must apply the proccedure shown below:
1. You have to find the radius of convergence of the following Maclaurin series:
 $(2x)/(1+ x^{2} )
$
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