3 years ago

Help 8th grade math

Mathematics

1 answer:

kondor19780726 [428]3 years ago

5 0

you times each side by the number

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What is the factored form of the expression?<br><br> d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

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3 years ago

Which of the following shapes are polygons with more than 444 sides?

Leviafan [203]

Hexagon and pentagon

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3 years ago

Kaylee decided to donate 30% of her savings if she has $238 in her savings account about how much will she Donate

skelet666 [1.2K]

Answer:

$71.40

Step-by-step explanation:

Turn the percentage 30 to a decimal, which is 0.3 then multiply it by 238 to get 71.4

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Which human organ is shown in the image? Heart Liver Pancreas Stomach

TiliK225 [7]

Answer: Pancreas

Step-by-step explanation:

The Pancreas is shown.

Please leave mark as brainliest if I helped you out. :)

8 0

1 year ago

Brainliest and Five Stars for correct answers

wel

$\bf \lim\limits_{x\to 9}~\cfrac{x^2-81}{x-9}\implies \cfrac{\stackrel{\textit{difference of squares}}{x^2-9^2}}{x-9}\implies \cfrac{\underline{(x-9)}(x+9)}{\underline{(x-9)}}
\\\\\\
\lim\limits_{x\to 9}~x+9\implies (9)+9\implies 18$

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3 years ago