<span>The answer is x ≥ -2. First use distributive property to simplify the left side of inequality: 2(3x – 1) ≥ 4x – 6. 2 * 3x - 2 * 1 ≥ 4x - 6. 6x - 2 ≥ 4x - 6. Rearrange it to get x on the one side and integers on the other side of inequality: 6x - 4x ≥ 2 - 6. Solve for x: 2x ≥ -4. x ≥ -4/2. x ≥ -2.Hope this helps. Let me know if you need additional help!</span>
Answer:
1 m/s
Step-by-step explanation:
the area of the triangle = A = ¹/₂ab
where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²
now we find the derivative of both sides:
dA/dt = ¹/₂ ⋅ dx²/dt
dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt
dA/dt = x ⋅ dx/dt = x ⋅ velocity
we are told that x = 5 m, and dA/dt = 5 m²/s
velocity = dA/dt / x
velocity = 5 m²/s / 5 m = 1 m/s
Standard form is ax+by=c
mnus 7y both sides
6x-7y=0
Vertical Angles: Theorem and Proof
Theorem: In a pair of intersecting lines the vertically opposite angles are equal. It can be seen that ray \overline{OA} stands on the line \overleftrightarrow{CD} and according to Linear Pair Axiom, if a ray stands on a line, then the adjacent angles form a linear pair of angles.
