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Andre45 [30]
3 years ago
7

Write digit(s) can be in the ones place of a number that has 5 as a factor

Mathematics
1 answer:
kotykmax [81]3 years ago
5 0
5
5 is a factor of 5
I am typing to reach the word count
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Highest common prime factor is three

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Which of the following shows a group of possible angles a triangle could have?
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C. 60 degrees, 60 degrees, 60 degrees

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Solve the following equation. X cubed minus 6X squared plus 6X equals zero
anyanavicka [17]

We have to solve this equation:

x^3-6x^2+6x=0

Third degree polynomials like this one are not easily solved, but this one has a root at x = 0. The let us factorize this polynomial as x times a second degree polynomial:

\begin{gathered} x^3-6x^2+6x=0 \\ x(x^2-6x+6)=0 \end{gathered}

Now we can find the roots of the quadratic polynomial as:

\begin{gathered} x=\frac{-(-6)\pm\sqrt[]{(-6)^2-4\cdot1\cdot6}}{2\cdot1} \\ x=\frac{6\pm\sqrt[]{36-24}}{2} \\ x=\frac{6\pm\sqrt[]{12}}{2} \\ x=\frac{6\pm\sqrt[]{4\cdot3}}{2} \\ x=\frac{6\pm2\sqrt[]{3}}{2} \\ x=3\pm\sqrt[]{3} \\ x_1=3-\sqrt[]{3} \\ x_2=3+\sqrt[]{3} \end{gathered}

Then, the solutions to the equation are:

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1 year ago
Emma packed gift bags to give to the
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2. If GFE~GJH, find the value of FG.<br> ​
Alex73 [517]

Answer:

  • 77 units

Step-by-step explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

<u>Use ratios to find the value of x:</u>

  • (4x - 5)/(x + 7) = 35/12.5
  • (4x - 5)/(x + 7) = 14/5
  • 5(4x - 5) = 14(x + 7)
  • 20x - 25 = 14x + 98
  • 20x - 14x = 98 + 25
  • 6x = 123
  • x = 123/6
  • x = 20.5

<u>Find the value of FG:</u>

  • FG = 4*20.5 - 5 = 77

5 0
3 years ago
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