Answer:
(8x2−4x−8)(2x+3x+2)
=(8x2+−4x+−8)(2x+3x+2)
=(8x2)(2x)+(8x2)(3x)+(8x2)(2)+(−4x)(2x)+(−4x)(3x)+(−4x)(2)+(−8)(2x)+(−8)(3x)+(−8)(2)
=16x3+24x3+16x2−8x2−12x2−8x−16x−24x−16
=40x3−4x2−48x−16
Step-by-step explanation:
Answer:
Diameter of the smaller coin = 2.46 cm
Step-by-step explanation:
Circumference of a coin = 2πr
Circumference of coin A = 8.03 cm
Circumference of coin B = 8.03 cm - 0.33 cm
A.) what is the first step to find the diameter of the smaller coin?
Find the circumference of coin B
Circumference of coin B = 8.03 cm - 0.33 cm
= 7.7 cm
B.) Find the diameter of the smaller coin.
Circumference of a coin = 2πr
7.7 = 2 × 3.14 * r
7.7 = 6.28r
r = 7.7 / 6.28
r = 1.23 cm
Diameter = 2r
= 2 * 1.23 cm
= 2.46 cm
Diameter of the smaller coin = 2.46 cm
Suppose we let 
, so that 
.
Also, recall the double angle identity for cosine:
So, we can rewrite and compute the integral using the substitution, as
Answer:
A' (3, 8 )
Step-by-step explanation:
Applying the translation rule to A (1, 3 )
A (1, 3 ) → A' (1 + 2, 3 + 5 ) → A' (3, 8 )
