Which statement is true ?

Mathematics

2 answers:

Lapatulllka [165]3 years ago

5 0

The product of two negative numbers is positive is your answer

Rus_ich [418]3 years ago

4 0

It is important to first understand the vocab they are using. You might already know these words, but I will write the basic definitions just to make sure.

Quotient- a number that you get for an answer in a division problem.
Product- a number that you get for an answer in a multiplication problem.

Knowing this, which of the following statements is true?
1. The quotient of two negative numbers is negative. - FALSE ( For example, (-2/-1)=(1) ) a positive number one is our quotient.

2. The product of two negative numbers is positive. - TRUE ( the double negative creates a positive. For example, (-2×-3)= 6. The product "6" is positive.)

3. The quotient of a positive number and a negative number is positive. - FALSE ( Ex: (-1÷ 2)= ( $- \frac{1}{2}$ ) The negative one half is our quotient and it is not positive.

4. The product of two numbers positive numbers is negative. - FALSE you need at a negative number that you in the multiplication in order to get a negative product.

Rule of thumb:

If you have an even amount of negative numbers present in a division or multiplication problem, the negatives will cancel each other out and create a positive outcome(quotient/product).

If you have no negative numbers at all in a multiplication or division problem you will have a positive outcome.

If you have an odd number of negative numbers, the outcome will be negative in an multiplication or division problem.

Please comment below with any further questions you still have!

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Jacob transformed quadrilateral FGHJ to F'G'H'J'.

Rudik [331]

Answer:

A. Reflection across the line x = 1

Step-by-step explanation:

Please find the attachment.

We have been given that Jacob transformed quadrilateral FGHJ to F'G'H'J'. We are asked to find which transformation Jacob used to reflect FGHJ to F'G'H'J'.

Since we know that while reflecting a figure, the line of reflection will lie between the original figure and reflected figure. Each point of the reflected figure will have the same distance from the line of reflection as the corresponding point of the original figure.

Now let us see our given choices one by one.

A. Reflection across the line x = 1.

Upon looking at point G and G' we can see that both points are equidistant (2 units) from the line x=1. Other corresponding points of both quadrilaterals are also equidistant from line x=1, therefore, Jacob used the reflection across the line x=1 to transform quadrilateral FGHJ to F'G'H'J'.

B. Reflection across the line y = 1 .

If Jacob had reflected quadrilateral across line y=1, the points of quadrilateral F'G'H'J' will lie in second and third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option B is not a correct choice.

C. Reflection across the line y-axis.

If Jacob had reflected quadrilateral across y-axis, the coordinates of points of quadrilateral F'G'H'J' will be G'(1,4), H'(1,2), J'(4,0) and F'(2,5). Therefore, option B is not a correct choice.

D. Reflection across the x -axis.

If Jacob had reflected quadrilateral across x-axis, the points of quadrilateral F'G'H'J' will lie in third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option D is not a correct choice.