In the diagram below, RSTU is a rectangle, and the two shaded regions are squares.
1 answer:
Answer:
length PQ = 8.9 m
Step-by-step explanation:
The picture below completes the question you asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.
Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.
Pythagoras theorem
c² = a² + b² Therefore,
c² = 4² + 8²
c² = 16 + 64
c² = 80
square root both sides
c = √80
c = 8.94427191
c ≈ 8.9 m
length PQ = 8.9 m
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Answer:
x = x = 9 ± or x ≈ 12.61 or x ≈ 5.39
Step-by-step explanation:
x² - 18x + 68 Solve by completing the square.
x² - 18x = - 68
Now complete the square and add that number to both sides of the equation.
1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .
x² - 18x + 81 = -68 + 81
(x - 9) (x - 9) = 13 Now find the square root of both sides
=
Solve
x - 9 = ± Solve for x
x = 9 ±
x = 9 + or x = 9 -
x ≈ 12.61 or x ≈ x 5.39