1.) identify the domain of the equation y = x2 − 6x + 1.
a.) x ≤ 3
b.) x ≥ −8
c.) x ≥ −2
d.) all real numbers
2.) functions f(x) and g(x) are shown below:
f(x) = x^2
g(x) = x^2 + 8x + 16
in which direction and by how many units should f(x) be shifted to obtain g(x)?
a.) left by 4 units
b.) right by 4 units
c.) left by 8 units
d.) right by 8 units

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.