A=v1-v0/t solve for v1

Given regular pentagon ABCDE, what are the coordinates of vertex C?

nata0808 [166]

Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

6 0

2 years ago

() and () are inverses of one another and drawn on the same graph with the same scale on both the horizontal and vertical axis.

Gelneren [198K]

Answer: Option A.

Step-by-step explanation:

We have the functions f(x) and g(x), that are inverses between them.

This means that if:

f(x) = y

then:

g(y) = x.

now, remember that:

When we have a point (x, y), and we reflect it over the line y = x, our new point will be (y, x).

So before we whe had:

f(x) = y.

and now in that same place, we have:

g(y) = x.

So the old graph of f(x) now coincides with the graph of g(x). (And the old graph of g(x) now coincides with the graph of f(x) )

So A is true.

B) This depends on the function:

if we have f(x) = x + 1.5

then f(0) = 1.5

now we want that:

g(1.5) = 0, then we can write:

g(x) = x - 1.5

Now f(x) and g(x) are inverses, and we would have that:

f(x) = g(x) + 3.

So f(x) is g(x) translated up by 3 units, but this is a particular case, not a general one, so B is not always true.

C and D) When we do rotations of 90° or 180°, we are effectively changing the quadrant of our point. so rotations will cause not only changes as the reflection over the x = y line, those will also cause changes in the sign of our variables, so, while for some functions f(x) and g(x) we can have that the rotations will map one into the other, this is not the general case.

6 0

2 years ago

A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?

saveliy_v [14]

The pencil costs $0.25.

One way to deduce this is to divide 1.50 by 2 (equaling 0.75) and then subtracting .5 to get 0.25 because if it's $1 more, then the ruler would cost 0.75 + 0.5 and the pencil would cost 0.75 - 0.5, making a total of $1.50.

Another way is to make it an equation. Let's say the ruler is r dollars and the pencil is p dollars.
r + p = 1.50
r = p + 1.00
If we know these two equations, then you can substitute p + 1.00 in the 1st equation (instead of r). This gets us:
p + 1.00 + p = 1.50
You can simplify this into:
2p + 1.00 = 1.50
Then you subtract 1.00 from both sides:
2p = 0.50
And you divide 2 from both sides:
p = 0.25
Getting you the answer of:
The pencil costs $0.25

Hope this helps! :)

8 0

1 year ago

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Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is cons

kap26 [50]

Answer:

If in each row of the supposed coefficient matrix, there is a pivot position. Therefore, it is true that the bottom row of the coefficient matrix also has a pivot position. As a result, there will not be space for the augmented column to have a. Thus, we say the system is consistent.

Step-by-step explanation:

In the problem, we have a coefficient matrix comprising linear equations. If in each row of the supposed coefficient matrix, there is a pivot position. Therefore, it is true that the bottom row of the coefficient matrix also has a pivot position. As a result, there will not be space for the augmented column to have a. Thus, we say the system is consistent based on the theorem.

7 0

1 year ago

The answer for Mixed Degree Systems

Setler79 [48]

Answer:

We have to find the maximum number of solutions of each of the following system:

1)

Two distinct concentric circles:

Since, distinct concentric circles means that the two circles have same center but different radius.

That means they will never intersect each other at any point.

Ans hence we will get zero solutions.

2)

Two distinct parabolas:

Two parabolas can maximum intersect at 2 points this could be seen by the diagrams.

3)

A line and a circle.

A line and a circle can maximum have 2 solutions.

4)

A parabola and a circle.

It can have maximum two solutions it can be seen from the diagram.

4 0

1 year ago

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