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3 years ago

What is the factored form of the following expression? d2 – 14d + 46

1 answer:

8 0

The solution to the problem is as follows:

⇒d2−9d−5d+45

⇒d(d−9)−5(d−9)

⇒(d−5)(d−9)

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0

3 years ago

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4 2/3 - 2 1/3 plsss get me the answer

posledela

The answer is 2 1/3, or 2.3 repeating.

3 0

3 years ago

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What is 6.877 rounded to the nearest whole number

stiks02 [169]

It is 7, because you always have to round up if the next decimal is greater than or equal to 5 (depending on where you live).

6 0

3 years ago

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N=3, zeros 4 and 2i, f(2)=-48 find nth degree polinomonal function

enot [183]

The degree is 3, the zeros are; 4, 2i, -2i and a point is (-48, 2)

For zeros; 2i, -2i <-- complex conjugates, always in pairs

$\frac{c}{a}=(2i)(-2i) 
$
= -4(i²=-1)
=5

$\frac{b}{a}=-(2i+(-2i))$
=0

Therefore the equation is; a( $x^{2}$ +5) <-- b value is zero

Rewrite the equation with all zeros;

a(x-4)(x²+5)=f(x) <-- put in coordinates of the points to find the value of x
a(2-4)(2²+5)=-48
a(2)(9)=-48
a=-48/18
a=-8/3

The final polynomial function is; (-8/3)(x-4)(x²+5)=f(x)

Hope I helped :)

5 0

3 years ago

I need help please

just olya [345]

Answer:

Step-by-step explanation:

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3 years ago

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