Select the statement that describes this expression: 32 ÷ 4 + (fraction 1 over 2 x 16) − 2.

1. 32 times 4 plus fraction 1 over 2 times 16, then subtract 2
2. 32 divided by 16 added to fraction 1 over 2 plus 4, then subtract 2
3. Half of 16 divided by 4 plus 32, then subtract 2
4. The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

answer for #1 is c

answer for #2 is d

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:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct