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Nine less than a number algebraic expression

nalin [4]

Nine less than a number

is

n - 9

7 0

3 years ago

Read 2 more answers

Drag and drop each expression into the box to correctly classify it as having a positive or negative product

AfilCa [17]

Following expressions will have negative product

$(\frac{1}{2})(-\frac{1}{2})\ and\ (-\frac{1}{2})(\frac{1}{2})$

Following expressions will have positive product

$(-\frac{1}{2})(-\frac{1}{2})\ and\ (\frac{1}{2})(\frac{1}{2})$

Further explanation:

We will see at each expression one by one

First expression is:

$(-\frac{1}{2})(\frac{1}{2})$

In the given expression one term is positive and one term is negative. The product of negative and positive terms is negative.

Second Expression is:

$(-\frac{1}{2})(-\frac{1}{2})$

Both terms are negative and the product of two negative terms is positive.

Third Expression is:

$(\frac{1}{2})(-\frac{1}{2})$

The expression has one positive and one negative term so the product will be negative

Fourth Expression is:

$(\frac{1}{2})(\frac{1}{2})$

Both terms are positive so the product will also be positive

Keywords: Product, Expressions

Learn more about expressions at:

#LearnwithBrainly

5 0

4 years ago

I need help on listing the four points that have a distance of 8 from B, thank you!

dolphi86 [110]

Answers:

(12, 3)
(-4, 3)
(4, 11)
(4, -5)

A diagram is shown below.

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Explanation:

First we locate point B at (4,3). The '4' in the x position means we've gone 4 units to the right of the origin, and the 3 in the y coordinate means we've gone 3 units up.

Now we need to find four points that are 8 units away from this central location. We'll ignore point A.

What we can do is add 8 to the x coordinate of point B to get x+8 = 4+8 = 12. Keeping the y coordinate the same, the point (12, 3) is exactly 8 units away from (4,3). Think of drawing a number line through those two points. Then we can note there are 8 spaces between (4,3) and (12,3). Or we can say "there are 8 spaces between 4 and 12" since that '3' doesn't really play much of a role in this case.

So (12,3) is one answer.

---------------------------------

Move back to point B(4,3)

Instead of adding 8 to the x coordinate, let's subtract 8 from it

x-8 = 4-8 = -4

Again the y coordinate is kept the same.

The point (-4, 3) is 8 units away from (4,3). The number line distance from -4 to 4 is 8 units.

So (-4,3) is another answer.

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Move back to point B

From this starting point, we can move 8 units up. Doing this means we add 8 to the y coordinate, while the x coordinate is kept intact.

(4,3) turns into (4,11) after doing so.

(4,11) is another answer.

---------------------------------

Move back to point B

From this point, we can move down 8 units to arrive at (4,-5). note how y-8 = 3-8 = -5. The x coordinate is kept the same.

(4,-5) is another answer.

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The four points we found were:

(12, 3)
(-4, 3)
(4, 11)
(4, -5)

which are four possible answers

Those points are found by going 8 units right, 8 units left, 8 units up and 8 units down in that order. Each time we started at point B as our center of operation. The use of the word "center" is done because we can form a circle of radius 8, and the center of the circle is at B(4,3). Any point on the circle's edge is exactly 8 units away from the center point B.

Refer to the diagram below. The four answers are the red points P,Q,R,S. The point T is another point that could be an answer, but it's not as easy to find compared to the four other points.