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Ulleksa [173]
3 years ago
11

Points (−3, 5) and (3, 5) on the coordinate grid below show the positions of two players on a tennis court:

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

4.  Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Step-by-step explanation:

Player 1's position is (-3, 5).

It means that it is 3 units left from the origin and 5 units above the origin.

Player 2's position is (3, 5).

It means that it is 3 units right from the origin and 5 units above the origin.

Hence, the two points are on the same horizontal line bisected by the y-axis.

So, Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

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If a line perpendicular to 2y=x+5 that passes through (2,1) using the slope- intercept form
arlik [135]
Slope of  2y = x + 5:-
This is y = 0.5 x + 2.5  in slope intercept form so its slope = 0.5

Slope of the line perpendicular to it = -1 / 0.5 = -2

it passes through (2 , 1) so we have

y- 1 = -2(x - 2)
y = -2x + 4 + 1

The answer is y = -2x + 5

4 0
3 years ago
A company recently downsized its number of employees by 30​%. If there are still 70 ​employees, how many employees were there pr
wolverine [178]
Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:

70 would have to be 70% of x.

To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:

70 • 100 = 7,000

Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:

7,000 divided by 70 gives us 100.

x = 100

Now, we can plug our answer in to see if it makes sense.

Does 70/100 represent 70%?

Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.

Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.
7 0
1 year ago
A company is expanding its building area from 20,000 square feet to 25,600 square feet. What is the percentage increase of the a
RideAnS [48]
The answer might be 28%
4 0
3 years ago
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What is the first term of the expression?<br><br><br> −6xyz + 9xy + 12x + 18y <br><br> TIA!
tatyana61 [14]

For this case we have that by definition:

  • <em>The terms of a polynomial expression are those that are composed of coefficients and variables separated by signs of addition and subtraction. </em>

We then have the following expression:

-6xyz + 9xy + 12x + 18y

According to the definition, we can conclude that the first term is given by:

-6xyz

Answer:

The first term of the expression is:

-6xyz

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Solve for x. <br><br> 3x - 8x + 2 = 17<br><br> X=
Vsevolod [243]

Answer:

-3

Step-by-step explanation:

3x-8x=17-2

3x-8x=15

-5x=15

-x=15/5

-x=3

x=-3

3 0
3 years ago
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