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3 years ago

What is the length of ac?

Mathematics

2 answers:

Temka [501]3 years ago

8 0

144 cm

Is The Correct Answer

olga55 [171]3 years ago

4 0

Answer: 144 cm

Step-by-step explanation:

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Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1

Alenkasestr [34]

Answer:

$x=\frac{4*(2+e)}{e-2}$

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

$log(\frac{1}{x} )=-log(x)$

$log(x*y)=log(x)+log(y)$

Therefore:

$log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1$

Now, cancel logarithms by taking exp of both sides:

$e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e$

Multiply both sides by $(x-4)^{2}$ and using distributive propierty:

$2x^{2} -32=16e-8ex+ex^{2}$

Substract $16e-8ex+ex^{2}$ from both sides and factoring:

$-(x-4)*(-8-4e-2x+ex)=0$

Multiply both sides by -1:

$(x-4)*(-8-4e-2x+ex)=0$

Split into two equations:

$x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0$

Solving for $x-4=0$

Add 4 to both sides:

$x=4$

Solving for $-8-4e-2x+ex=0$

Collect in terms of x and add $4e+8$ to both sides:

$x(e-2)=4e+8$

Divide both sides by e-2:

$x=\frac{4*(2+e)}{e-2}$

The solutions are:

$x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}$

If we evaluate x=4 in the original equation:

$log(0)-log(0)=1$

This is an absurd because log (x) is undefined for $x\leq 0$

If we evaluate $x=\frac{4*(2+e)}{e-2}$ in the original equation:

$log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1$

Which is correct, therefore the solution is:

$x=\frac{4*(2+e)}{e-2}$

6 0

3 years ago

How do you write 7.18 as a fraction?

balandron [24]

<h2>Convert decimals to fractions</h2>

<em>To write 7.18 as a fraction, you must write 7.18 as the numerator and put 1 as the denominator. </em><em>Now multiply the numerator and denominator</em><em> by 10 until you get a whole number in the </em><em>numerator.</em>

<em>And finally we have:</em>

<h3>7.18 a fraction is equal to 718/100</h3>

<h2>See more about this at:</h2><h3>brainly.com/question/19799363</h3>

4 0

2 years ago

How to find the sides of a triangle without using trigonometry?

ohaa [14]

If its a right-angled triangle you can find the third side if the length of the other 2 sides are known. Use the Pythagoras theorem.

If you have 2 triangles which are similar and you know the length of one or more sides of one of them then you can find the lengths of corresponding sides in the second triangle.

5 0

3 years ago

Combine like terms: 2 + 4p – 6p – 3

vladimir2022 [97]

Answer:

-2p - 1

Step-by-step explanation:

$\text{Combine like terms.}\\\\2+4p-6p-3\\\\4p-6p+2-3\\\\\boxed{-2p-1}\\\\\\\text{Hope this helps!}$

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3 years ago

Read 2 more answers

Anyone please help mee with geometry

Nookie1986 [14]

Answer:

y = 5

Step-by-step explanation:

Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.

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3 years ago