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aleksandrvk [35]
3 years ago
11

What one is divisible by 9 is it 115,504,968,646 or 882

Mathematics
1 answer:
ra1l [238]3 years ago
5 0
Your answer is 9 is in the hundred thousands place because it is 9 hundred and sixty eight thousand and six hundred and foutry six.
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Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125
liq [111]

For the given equation;

(3x-5)^2=-125

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}

Now that we have expanded the left side of the equation, we would have;

\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}

ANSWER:

x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}

3 0
1 year ago
Translate the problem into a mathematical sentence, using c as your variable
zalisa [80]

c=8

Step-by-step explanation:

13-5=c, c=8

6 0
2 years ago
How do i do this? geometry
iren [92.7K]

Answer:

80?

Step-by-step explanation:

the total amount of degrees  in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.

3 0
2 years ago
Simplify completely: the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power time
eimsori [14]
Correct answer is D.

\frac{10x^6y^3 + 20x^3y^2}{5x^3y}
\\
\\ \text{common in the numerator is }
\\
\\ 10x^3y^2
\\
\\ \text{so}
\\
\\ \frac{10x^3y^2(x^3y + 2)}{5x^3y}
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\\ \text{cancel common factors... }
\\
\\ 2y(x^3y + 2) = 2x^3y^2 + 4y
6 0
3 years ago
If two rays share an endpoint,then they are opposite rays
Readme [11.4K]
When their endpoint angle measure up to 180 then they can be called opposite rays
4 0
1 year ago
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