The sum of the squared legs must give the squared hypotenuse:
But of course we can only accept the positive solution, because 
is a length and can't be negative.
Answer:
x = ¹⁰⁄₄,⁵⁄₂, or 2.5
Step-by-step explanation:
Given: 13 - 2(2x + 1) = 1
1. Distribute -2 through the parentheses:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 + (-2)(2x) + (-2)(1) = 1
13 - 4x - 2 = 1
2. Combine like terms:
⇒ 13 - 4x - 2 = 1
⟹ 11 - 4x = 1
3. Subtract 11 from both sides:
⇒ 11 - 11 - 4x = 1 - 11
⟹ -4x = -10
4. Divide both sides by -4:
⇒ -4x ÷ -4 = -10 ÷ -4
⟹ x = ¹⁰⁄₄,⁵⁄₂, or 2.5
5. Check your work:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 - 2(2(2.5) + 1) = 1
⇒ 13 - 2(5 + 1) = 1
⇒ 13 - 2(6) = 1
⇒ 13 - 12 = 1
⟹ 1 = 1 ✔
Learn more here:
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Answer: 5/12
Step-by-step explanation:
The word "Mathematical" has 12 letters, and 5 of them are vowels.
The midpoint would be (5,9)
