The final step is to determine the principal square root of both sides of the equation.
- The triangle XYZ is a right triangle.
- The sides "a" and "b" are the height and the base of the triangle.
- The side "c" is the hypotenuse of the triangle.
- The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
- The side lengths must satisfy the Pythagorean theorem, a² + b² = c².
- It is also an isosceles triangle, so the equation becomes a² + a² = c².
- By combining like terms, we get 2a² = c².
- The final step is to take the square root of both sides.
- √2a = c
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Answer:
5t = 4b
Step-by-step explanation:
Here, we want to write a proportional relationship for b in terms of t
From the question, b represent the amount of candle burned away in a given time t hours
From what we have initially, 13 3/4 burnt in 11 hours
So in 1 hour, the amount burnt will be;
55/4/11 = 5/4
5/4 inches of candle burnt in 1 hour
5/4 inches = b/t
So b inches burnt in t hours
5/4 = b/t
5t = 4b
Answer: Choice D. y = (x-1)^2 - 3
The vertex is (h,k) = (1,-3). So h = 1 and k = -3.
We have a = 1 as the leading coefficient.
Plug those values into the equation below
y = a(x-h)^2 + k
y = 1(x - 1)^2 + (-3)
y = (x - 1)^2 - 3
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