What is the value of the expression below when z=2?

4z^2 -3z-4

6

Step-by-step explanation:

Evaluate 4 z^2 - 3 z - 4 where z = 2:

4 z^2 - 3 z - 4 = 4×2^2 - 3×2 - 4

Hint: | Evaluate 2^2.

2^2 = 4:

4×4 - 3×2 - 4

Hint: | Multiply 4 and 4 together.

4×4 = 16:

16 - 3×2 - 4

Hint: | Multiply -3 and 2 together.

-3×2 = -6:

16 + -6 - 4

Hint: | Group the negative terms in 16 - 6 - 4 together and factor out the minus sign.

16 - 6 - 4 = 16 - (6 + 4):

16 - (6 + 4)

Hint: | Evaluate 6 + 4.

6 + 4 = 10:

16 - 10

Hint: | Subtract 10 from 16.

| 1 | 6

- | 1 | 0

| 0 | 6:

6

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.