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Airida [17]
3 years ago
13

Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate equal to 4.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0

Answer:

(4, 3 ) and (4, - 3 )

Step-by-step explanation:

A distance of 5 units from the origin represents the hypotenuse of a right triangle with sides 3- 4 - 5

If the x-coordinate is 4 then the y-coordinate is | 3 | = ± 3

the coordinates are (4, 3 ) and (4, - 3 )


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In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?
DiKsa [7]

Answer:

L(18, 20)

Step-by-step explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A(x_1,y_1) and B(x_2,y_2). The equation to determine the location of O is given by:

x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (x_2,y_2) be the coordinate of L. Therefore:

10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18

11=\frac{2+y_2}{2} \\\\22=2+y_2\\\\y_2=20

Therefore L = (18, 20)

4 0
3 years ago
Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property.
Tju [1.3M]

Answer:

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

5 0
3 years ago
Read 2 more answers
From delta math:<br> Subtract -2x^2 + 3x - 9 from 8x^2 + 10x - 10
Leto [7]

Answer:

10x^2 + 7x - 1

Step-by-step explanation:

Step 1: Build the expression in numerical form.

  • (8x^2 +10x - 10) - (-2x^2 + 3x - 9)

Step 2: Distribute the negative sign.

  • 8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)
  • 8x^2 + 10x - 10 + 2x^2 + (-3x) + 9  

Step 3: Combine like terms.

  • (8x^2 +2x^2) + (10x -3x) + (-10+9)
  • 10x^2 +7x -1

Therefore, the answer is 10x^2 + 7x -1.

4 0
3 years ago
Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip th
Brrunno [24]
While I'm unsure what the word choices were, his claim is likely to be true. 

Since he claims the probability of heads is 40%, that should be what we see in an experiment.  0.38 is very close to 0.40, or 40%, so this is true.  Therefore his claim is likely to be true, and the probability of tails should be about 60%.
5 0
3 years ago
Numbers divisible by 100 are divisible by 5.
Reptile [31]

The additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.

<h3 /><h3>What is law of detachment?</h3>

Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.

For instance,

Statement A: If there's an increase in Mr Charles salary.

Statement B: Mr Charles buys bicycle for his son.

This means Mr Charles buying bicycle for his son is true because of the increase in income.

Learn more about law of detachment:

brainly.com/question/13966470

#SPJ1

8 0
2 years ago
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