Answer:
d
Step-by-step explanation:
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=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2
step by step
(2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x(x+4)
=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x+4)
=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x)+((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(4)
=−640x10+3840x9+4544x8−58904x7+91128x6−40608x5+128x4+512x3−2560x9+15360x8+18176x7−235616x6+364512x5−162432x4+512x3+2048x2
=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2
Answer:
Step-by-step explanation:
3x²-5x+2=0
3x²-3x-2x+2=0
3x(x-1)-2(x-1)=0
(x-1)(3x-2)=0
either x-1=0 which gives x=1
or 3x-2=0
x=2/3
The buttonhole size needed to fit the button is 3cm.
The solution is as follows:
Solve for d when C = 9.42 cm=2πr
d = 2r
r = C/2π = 9.42 / 2π
r = <span>1.49923956393
d = 2(</span>1.49923956393) = <span>2.99847912785 or <span>3cm
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