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3 years ago

Can someone please help me ASAP

Mathematics

1 answer:

konstantin123 [22]3 years ago

4 0

Answer:

x = 50

Step-by-step explanation:

Since MNP is a tangent to the circle at N, then

∠ ONP = 90° , so

∠ ONL = 90° - 55° = 35°

OL = ON ( both radii of the circle )

Thus Δ ONL is isosceles and the base angles are congruent

∠ OLN = ∠ ONL = 35°

JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is

∠KJN + ∠ KLN = 180 , substitute values

95 + 35 + x = 180

130 + x = 180 ( subtract 130 from both sides )

x = 50

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Katyanochek1 [597]

Answer:

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Step-by-step explanation:

Part (i)

Using Binomial series formula:

$(2+x^2)^6=2^6+6C1 \cdot 2^{6-1}\cdot x^2+6C2 \cdot 2^{6-2}\cdot(x^2)^2+6C3 \cdot 2^{6-3}\cdot(x^2)^3$

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Part (ii)

$(1-\frac{3}{x^2})^2=(1-\frac{3}{x^2})(1-\frac{3}{x^2})$

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$(2+x^2)^6(1-\frac{3}{x^2})^2=(64+192 x^2+240 x^4+160x^6)\left(1-\dfrac{6}{x^2}+\dfrac{9}{x^4} \right)$

$=64-\dfrac{384}{x^2}+\dfrac{576}{x^4}+192x^2-1152+\dfrac{1728}{x^2}+240x^4-1440x^2+2160+...$

There is no need to keep expanding since the remaining will include the variable.

Therefore, the term independent of x = 64 - 1152 + 2160 = 1072

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2 years ago

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The slope of the line 5/7.

How do i know this?

Well the slope of a line is considered as rise/run.

So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.

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Your welcome! :D

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Read 2 more answers

Can someone please help me ASAP​

Can someone please help me ASAP