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3 years ago

7

—BRAINLIEST—A person and a tree cast a shadow at the same time of day. Round your answer to the nearest hundredth.

2 answers:

Marta_Voda [28]3 years ago

6 0

It’s 44.9ft
——————
——————-

EXPLANATION:

The person and the tree both cast shadows. The triangles which form are similar triangles, because the sun is shining from the same angle in the sky.
You can write this as a direct proportion. (height : shadow)
5.6 is to 8.1 as what is to 65?

stich3 [128]3 years ago

5 0

Answer: 44.9 ft

Explanation: 5.6/8.1=0,6913 65•0,6913=44,94 ft

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Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

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$x=4$

Subtract 4 from both sides

$\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}$

The first factor is (x - 4)

$\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}$

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

$f(x)=(x-4)(x-1+i)(x-1-i)$

We will multiply them to find f(x)

$\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}$

Multiply it by (x - 4)

$\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}$

The answer is

$f(x)=x^3-6x^2+10x-8$

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