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3 years ago

I need help with my quiz please help this is consuming me

Mathematics

1 answer:

Strike441 [17]3 years ago

8 0

Answer:

30.62 $ft^2$

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An adventurous dog strays from home, runs three blocks east, two blocks north, one block east, one block north, and two blocks w

Marrrta [24]

<h2>Answer:</h2>

<u>Distance = 360.55 m</u>

<u>Direction = North-East</u>

<h2>Step-by-step explanation:</h2>

In the question,

The adventurous dog starts from O, say.

He moves 3 blocks East = 300 m

then,

2 blocks North = 200 m

1 block East = 100 m

1 block North = 100 m

2 blocks West = 200 m

So,

Distance of the Dog's <u>final position</u> from the <u>initial position</u><u>.</u>

OE is given by,

In triangle OLE, using Pythagoras theorem,

$OE^{2}=OL^{2}+LE^{2}\\OE^{2}=(200)^{2}+(300)^{2}\\OE^{2}=40000+90000\\OE=360.55\,m$

<em><u>Therefore, the distance of Dog from the Home is 360.55 m and the direction of Dog from Home is North-East.</u></em>

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3 years ago

What is the inverse of the function f(x) = 2x + 1?

Alexandra [31]

Answer:

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

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

$\frac{y-1}{2}$ = x

Change y back into terms of x and let x = $f^{-1}$ (x), thus

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

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levacccp [35]

First put the equation in y=mx+b form then plot the b and count off the slope.

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What is the simplified form of the quantity of x plus 7, all over the quantity of x plus 3 + the quantity of x minus 4, all over

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Break down the words into an equation:
(x+7)/(x+3) + (x-4)/3

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3 years ago

What is (X^3 - 4x^2 + 4x - 1) / (x-1)?

professor190 [17]

Answer:

$x^{2} -3x+1$

Step-by-step explanation:

$\frac{x^{3}-4x^{2} +4x-1}{x-1}=\frac{(x-1)(x^{2}-3x+1 )}{x-1}=x^{2}-3x+1$

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3 years ago