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Hitman42 [59]
3 years ago
9

If the area of Bianca’s rectangular backyard patio is represented by the expression x2−18x + 81, and the length of the patio is

represented by the expression x-9, what is the expression for the width of the patio and what special rectangular shape is the patio? Explain and show all work when factoring.
Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

The answer would be x-9. Hope this helps.

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What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4
Ivanshal [37]

Answer:

x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Step-by-step explanation:

x=4\sqrt{3},\:x=-4\sqrt{3}

Considering the expression

x^2\:-\:48

Solving

x^2-48=0

x^2-48+48=0+48

x^2=48

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{48},\:x=-\sqrt{48}

Solving

x=\sqrt{48}

  = \sqrt{2^4\cdot \:3}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

  = \sqrt{3}\sqrt{2^4}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}

  \sqrt{2^4}=2^{\frac{4}{2}}=2^2

  =2^2\sqrt{3}

  =4\sqrt{3}

So,

x=4\sqrt{3}

Similarly,

x=-\sqrt{48}=-4\sqrt{3}

Therefore, x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

#learnwithBrainly

9 0
3 years ago
Read 2 more answers
Please help and show work it helps a lot thanks
Vinvika [58]
Me to I was doing the work but just lost it I will try again
8 0
2 years ago
Is x-10 a factor of f(x)=5x^3+60x^2+109x+90
RUDIKE [14]

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

4 0
2 years ago
HELP!!!Identify the following parts of the graph
yarga [219]

Answer:

X ints = (-1,0) , (3,0)

Y int = (0, -3)

Minimum (as it infinitely extends positively, but does not go down all the way)

Min point = (1,-4)

Step-by-step explanation:

8 0
2 years ago
Rachel types
Art [367]

Answer:

4 im pretty sur

Step-by-step explanation:

7 0
3 years ago
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