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2 years ago

The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.

Mathematics

1 answer:

coldgirl [10]2 years ago

6 0

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=6

we have

by using Pythagoras law

p²+b²=h²

x²+x²=6²

2x²=36

x²=36/2

x²=18

x= $\sqrt{18}$

<u>x</u>= $\bold{3\sqrt{2}}$

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Use linear approximation to approximate √25.3 as follows.

Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

Then

$f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}$

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2 years ago

What is the answer to 6/8 - 3/4?

Bumek [7]

Answer:

Step-by-step explanation:

For common denominator,

6/8 - 3/4 = 6/8 - (3*2)/(4*2) = 6/8 - 6/8 = 0

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2 years ago

What is not a solution of -4 < x

Gnesinka [82]

Answer:

-5

Step-by-step explanation:

because it is less than -4 when it is suppose to be more than-4

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3 years ago

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ZanzabumX [31]

Answer:

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Explanation:

Factors of 18:

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Factors of 21:

1, 3, 7.

The highest number that both sets contain is 3, so the GCF will be 3.

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shutvik [7]

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