The triangular sail on Esther's sailboat measures 10.5 feet, 14 feet and 17.5 feet on its three
1 answer:
Answer:
The sail is a right triangle.
Step-by-step explanation:
We are given the following in the question.
Measure of triangular sales are:
10.5 feet, 14 feet and 17.5 feet
We have to check whether it is a right angled triangle or not.
Pythagoras theorem:
According to this theorem the sum of of squares of two sides of triangle is equal to the square of hypotenuse of triangle. The hypotenuse is the longest side of the triangle.
Verifying:
Thus, the measurement of sail follows the Pythagoras theorem.
Hence, the sail is a right triangle.
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Answer:
min at (3, 0 )
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
= -
y = (x - 3)² = x² - 6x + 9 ← in standard form
with a = 1 and b = - 6 , then
= -
= 3
substitute x = 3 into the equation for corresponding value of y
y = (3 - 3)² = 0² = 0
vertex = (3, 0 )
• if a > 0 then vertex is minimum
• if a < 0 then vertex is maximum
here a = 1 > 0 then (3, 0 ) is a minimum