Marina correctly simplified the expression (-4a^-2 b^4)/(8a^-6b^-3) assuming that a does not equal 0 and b does not equal 0. Her

Answer:

2.CE lies on line m.

4.Ray AD is identical to ray AC.

6.Angle ECB is formed by CE and CB.

Step-by-step explanation:

A diagram has been provided.

Our task is to identify the valid statements regarding the diagram.

1.CB is found on line n.

CB does not align with line n since points C and B do not lie on that line.

Thus, this statement is false.

2.CE is situated on line m.

CE is indeed positioned on line m because points C and E are both on this line.

This statement is accurate.

3.Ray BC is equivalent to ray CB.

A ray begins at a single point and continues indefinitely without a terminal point.

Ray CB starts at point C and stretches out from point B.

However, ray BC does not exist.

This statement is therefore false.

4.Ray AD is equivalent to ray AC.

Both AD and AC are rays.

They are equivalent since both originate from point A and extend in the same direction.

5.Angle EAD is formed from AE and DA.

This is false because angle EAD is created by ray AE and ray AD, not by ray DA.

6.Angle ECB is generated by CE and CB.

This is true as angle ECB is made by ray EC and ray BC.

Answer:

The parametrization of the specified curve is

Step-by-step explanation:

From the provided problem statement, we derive the function

When y = 5

Answer:

1. 8.4 2. 15

Step-by-step explanation:

1. 4x + 8y = 40

when y = 0.8

4x + 8 × 0.8 = 40

4x = 40 - 8 × 0.8

4x = 40 - 6.4 = 33.6

....x = 33.6 / 4 = 8.4

2. 3a + b = 54

when b = 9

3a + 9 = 54

3a = 54 - 9

3a = 45

.....a = 45 / 3 = 15

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We have a piecewise function consisting of a parabolic graph and a linear graph.

When the parabolic graph of is elevated by 6 units, the new equation becomes

.

Given that the parabola aligns with this requirement, its equation can be expressed as

The parabola extends to x=3, where there is an open circle at this point. Thus, we need to use a less than sign.

Next, the line's equation is determined as

Since there is a solid dot, we must employ the greater than or equal to sign.

Consequently, the piecewise function's equation is derived as

C is the right choice.