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marshall27 [118]
3 years ago
12

I didn’t get how to do it

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

Answer:

K = 5

Step-by-step explanation:

Since 2 on the numerator would equal one, five would equal 2 and a half plus the other 1/2 which would make 3.

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The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
  • -3x - 4x = 1 - 22
  • -7x = - 21
  • x = 3

<u>Find y:</u>

  • 2*3 + y = 11
  • 6 + y = 11
  • y = 11 - 6
  • y = 5

The point is (3, 5)

2) <u>Line 1 and line 3</u>

  • -3x + 2y = 1
  • x + 4y = 9

<u>Triple the second equation and add up equations:</u>

  • -3x + 2y + 3(x + 4y) = 1 + 3(9)
  • 2y + 12y = 1 + 27
  • 14y = 28
  • y = 2

<u>Find x:</u>

  • x + 4*2 = 9
  • x + 8 = 9
  • x = 1

The point is (1, 2)

3) <u>Line 2 and line 3</u>

  • 2x + y = 11
  • x + 4y = 9

<u>Double the second equation and subtract the equations:</u>

  • 2x + y - 2(x + 4y) = 11 - 2(9)
  • y - 8y = 11 - 18
  • - 7y = - 7
  • y = 1

<u>Find x:</u>

  • x + 4*1 = 9
  • x + 4 = 9
  • x = 5

The point is (5, 1)

8 0
2 years ago
-8 *-8 * -8 * -8 can be expressed as?
ZanzabumX [31]

Answer: -8^4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
jason runs 440 yards in 75 seconds.At this rate how many minutes does it take him to run a mile? (1 mile = 1,760 yards)​
Zepler [3.9K]

Answer: 5 minutes

Step-by-step explanation:

We know that 1760 yards are in a mile. We can convert the given info into a proportion. 440/75 = 1760/x, where x is the number of seconds it takes to run a mile. Cross-multiply to get 440x = 75*1760. Divide both sides by 440 to get x = 75*4 = 300 seconds. The problem asks for how many minutes so you have to convert 300 seconds to minutes. To do this, we have to divide 300 by 60 to get 5 minutes.

7 0
3 years ago
Enter numbers in the boxes to write an equation that is equivalent to 3/4b−2/3b=−9
Nana76 [90]

Answer:

3/4b−2/3b=−9 = -108. so, i just used equivalent fractions of both of those numbers :D

Step-by-step explanation:

6/8b - 4/6b = -9

5 0
2 years ago
Consider the two functions:
Mademuasel [1]

Answer:

  g(0) > f(0)

Step-by-step explanation:

Evaluate the functions at the point of interest: x=0.

  g(0) = 20·1.5^0 = 20·1 = 20

  f(0) = -40 . . . . from the table

Since 20 > -40, we conclude ...

  g(0) > f(0)

8 0
3 years ago
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