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3 years ago

How do we locate the solution of a systems of linear equation?

Mathematics

1 answer:

LiRa [457]3 years ago

7 0

Answer:

Graph the two lines and the solution is where the lines intersect.

Step-by-step explanation:

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11. Kevin started a ping pong club at his school, and the table shows the number of participants in the club over several years.

zheka24 [161]

Answer:

every two years 16 people join

Step-by-step explanation:

might be wrong but i think its right hope this helps!!

8 0

3 years ago

Read 2 more answers

Mhanifa please help! Find the coordinates of the circumcenter of the triangle with the vertices A(4, 12), B(14, 6), and C(-6, 2)

melamori03 [73]

Answer:

(4.5, 1.5)

Step-by-step explanation:

Given vertices of a triangle:

A(4, 12), B(14, 6), and C(-6, 2)

Let the circumcenter is point M(x, y)

We know that the circumcenter is equidistant from each of the vertices.

Use distance formula:

AM = √(x - 4)² + (y - 12)²
BM = √(x - 14)² + (y - 6)²
CM = √(x + 6)² + (y - 2)²

All three distances are equal:

AM = BM = CM ⇒ AM² = BM² = CM² ⇒
(x - 4)² + (y - 12)² = (x - 14)² + (y - 6)² = (x + 6)² + (y - 2)²

Square of each:

AM² = x² - 8x + 16 + y² - 24y + 144 = x² + y² - 8x - 24y + 160
BM² = x² - 28x + 196 + y² - 12y + 36 = x² + y² - 28x - 12y + 232
CM² = x² + 12x + 36 + y² - 4y + 4 = x² + y² + 12x - 4y + 40

Comparing the squares, we get following system:

-8x- 24y + 160 = -28x - 12y + 232 ⇒ 20x - 12y = 72 ⇒ 5x - 3y = 18
- 8x - 24y + 160 = 12x - 4y + 40 ⇒ 20x + 20y = 120 ⇒ x + y = 6

Solve by substitution, x = 6 - y:

5(6 - y) - 3y = 18
30 - 8y = 18
8y = 12
y = 1.5

Find x:

x = 6 - 1.5 = 4.5

So the circumcenter is M(4.5, 1.5)

7 0

3 years ago

What’s the correct answer

statuscvo [17]

It is probably random, since they are asking random users to identify new features they would use. :)

7 0

4 years ago

Read 2 more answers

A triangle has vertices of (-2, -1), (0, -5), and (3, 2). What are the vertices of the image after applying the translation

dimulka [17.4K]

Answer:

B. (1, -5), (3, -9), (6, -2)

Step-by-step explanation:

First vertex: -2 + 3 = 1, -1 - 4 = -5, so (1, -5)

Second vertex: 0 + 3 = 3, -5 - 4 = -9, so (3, -9)

Third vertex: 3 + 3 = 6, 2 - 4 = -2, so (6, -2)

(1, -5), (3, -9), (6, -2)

I hope this helps :))

5 0

4 years ago

what is 2/a = a/50. These are factions if you already didn't know. I need to know what the answer is. it is a proportion.

Natalija [7]

2/a= a/50

Cross multiply:
a* a= 2*50
⇒ a^2= 100
⇒ a= √100 or a= -√100
⇒ a= 10 or a= -10

Final answer: a= 10 or a= -10~

3 0

4 years ago