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Mamont248 [21]
3 years ago
10

How many lines of symmetry do the alphabets "X, I, H, E" have?

Mathematics
2 answers:
Ymorist [56]3 years ago
8 0
X, H, and I each have 2 while E has 1.
Aleksandr [31]3 years ago
5 0
Lines of symmetry can be identified if you place an imaginary line over a figure, reflect the figure and the image remains unchanged, then that imaginary line is a line of symmetry. Among the letters X, I, H, and E, the letter X, I, and H have 2 lines of symmetry each. For the letter E, it only has one. In total, there are 7 lines of symmetry among the 4 letters.
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7x³ = 28x is our equation. We want its solutions.

When you have x and different powers, set the whole thing equal to zero.

7x³ = 28x

7x³ - 28x = 0

Now notice there's a common x in both terms. Let's factor it out.

x (7x² - 28) = 0

As 7 is a factor of 7 and 28, it too can be factored out.

x (7) (x² - 4) = 0

We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.

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Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.

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7 = 0       -----> no solution

x - 2 = 0   ----> so x = 2   after adding 2 to both sides

x + 2 = 0  ---> so = x - 2  after subtracting 2 to both sides


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