Find the GCF of 52 and 84.
1 answer:
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Answer:
x = - 7, x = 1
Step-by-step explanation:
Given
x² + 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16 ( take the square root of both sides )
x + 3 = ± = ± 4 ( subtract 3 from both sides )
x = - 3 ± 4
x = - 3 - 4 = - 7
x = - 3 + 4 = 1
Solution set = { - 7, 1 }
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6)
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to
where
b is the base of rectangle
h is the height of rectangle
so
Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to
where
b is the length side of the square
so
Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so
Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so
Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to
where
b is the base of triangle
h is the height of triangle
so
Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to
where
r is the radius of the circle
so