Answer choices:
A) 14.1 cm
B) 18.8 cm
C) 37.7 cm
D) 75.4 cm

B. 18.8cm

Step-by-step explanation:

Circumference = π x Diameter

The given diameter here is 6cm and we need to use 3.14 for π so:

Circumference = 3.14 x 6

Circumference = 18.84 = 18.8 (1.d.p)

Therefore B is correct.

Hope this helped!

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

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