Answer: True
Solution:
Rearrange the equation to the LHS:
[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0
Factoring x^2+8x+16
x^2 - 4x - 4x - 16
= (x-4) • (x-4)
= = (x+4)2
So now we have an equation
(x + 4)^2 • (x - 4)^2 - (x^2 - 16)^2 = 0
Step 2: Evaluate the following:
(x+4)2 = x^2+8x+16
(x-4)2 = x^2-8x+16
(x^2-16)2 = x^4-32x^2+256
(x^2+8x+16) (x^2-8x+16 ) - (x^4-32x^2+256 )
0 = 0
Hence True
Answer: D The square root of 100 is 10. Or,
√100 = 10
Step-by-step explanation:
Answer: These Lines are <em>Parallel</em>
Step-by-step explanation: For two lines to be parallel, they must have the same slope with different y-intercepts. Both of the lines above have a slope of 3 and differing y-intercepts of 4 and -5. Therefore, these lines must be parallel to one another.
Answer:
7) circumference = 11.78 ft
8) arc NMP = 198° or 27.63 ft
Step-by-step explanation:
7) circumference = πd = (3.14) (3 3/4) = 11.78 ft
8) radius = 8 ft
diameter = 2 x 8 = 16 ft
arc NM + arc QP = 360° - 162° - 162° = 36°
arc NM = arc QP because they are arcs of vertical angles.
arc QP = 18°
arc NMQ = 180°
arc NMP = 180° + 18° = 198°
circumference = πd = (3.14)(16) = 50.24 ft
(198°/360°)(50.24) = 27.63 ft
Answer:
Area = 634.21 square metre
Step-by-step explanation:
Area of shaded region = Area of the circle - Area of the sector
