Answer:
(2x + y)(2x - y - 1)
Step-by-step explanation:
4x² - y² - 2x - y
4x² - y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4x² - y²
= (2x)² - y²
= (2x - y)(2x + y)
expression is now
(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term
= (2x + y)(2x - y - 1)
Answer:
13.4
Step-by-step explanation:
Apply the distance formula.
distance between the two points = sqrt[(-2 - 4)^2 + (9 - (-3))^2] = sqrt(180) = 13.4 (3s.f.)
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thankss
The area of the shaded region is the quarter circle minus the isosceles right triangle. The area of quarter-circle is pi*r^2/4=pi*8^2/4=16pi. The area of triangle is 8*8/2=32, so the area is 16pi-32.
The perimeter of the shaded region is the length of arc plus the segment. The length of arc is pi*2r/4=pi*16/4=4pi, and the length of the segment is 8*\sqrt(2) according to pythagorean's theorem. The total perimeter is 4pi+8*\sqrt(2).