Trapezoid and paralellogram are both quadrilaterals
the heiarchy is
quadrilaterals are 4 sided figures
quadrilaterals is split up into
A. no pairs of paralell sides
- kite
B. 1 pair of paralell sides
- trapezoid/trapezium
C. 2 pairs of parell sides (paralellograms)
-rectangles
-rhombus
-square
so you can see that they are both quadrilaterals (quad=4, lateral=sides, quadrilateral=4 sided figure)
Answer:
(1 - 4x)³
Step-by-step explanation:
The first 2 terms are a difference of cubes and factor in general as
a³ - b³ = (a - b)(a² + ab + b²), thus
1 - 64x³
= 1³ - (4x)³
= (1 - 4x)(1 + 4x + 16x²)
Thus
1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms
= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)
= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms
= (1 - 4x)(1 + 4x + 16x² - 12x)
= (1 - 4x)(1 - 8x + 16x²) ← perfect square
= (1 - 4x)(1 - 4x)²
= (1 - 4x)³ ← in factored form
Answer:20mph
Step-by-step explanation:
speed of plane = x mph
Speed of plane with wind = 485 mph
So therefore, speed of wind =
485 - x
Speed of plane against wind = 445 mph
So therefore, speed of wind =
x - 445
So therefore, equating the 2 equations of speed of wind
485 - x = x - 445
Collect like terms
485 + 445 = x + x
930 = 2x
2x = 930
x = 930/2 = 465 mph
Speed of wind = x = 465mph
So we put this value on any of the equations for speed of wind
Speed of wind = x - 445 = 465 - 445
= 20 mph
So therefore, speed of wind = 20mph
The answer is c i’m pretty sure
