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kvv77 [185]
3 years ago
7

Instructions in photo plz help

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

YS = 2/3 × ( YV ) *.&.* SV = 1/3 × ( YV )

_____________________________

YS = 2/3 × ( YV )

4x + 14 = 2/3 × ( YV )

Multiply both sides by 3/2

( 4x + 14 ) × 3/2 = ( YV ) × 2/3 × 3/2

YV = 6x + 21 ( ☆ )

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SV = 1/3 × ( YV )

1 + 3x = 1/3 × ( YV )

Multiply both sides by 3

( 1 + 3x ) × 3 = ( YV ) × 1/3 × 3

YV = 9x + 3 ( ♡ )

_____________________________

YV = YV

( ☆ ) = ( ♡ )

6x + 21 = 9x + 3

Subtract both sides 3

6x + 21 - 3 = 9x + 3 - 3

6x + 18 = 9x

Subtract both sides 6x

6x - 6x + 18 = 9x - 6x

18 = 3x

Divide both sides by 3

18 ÷ 3 = 3x ÷ 3

x = 6

₩₩₩₩₩₩₩₩₩₩₩₩₩₩₩₩₩₩

YV = 6x + 21 = 9x + 3

YV = 6(6) + 21 = 9(6) + 3

YV = 57

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26

Step-by-step explanation:

Devaughn = 2x

Sydney = x

x + 2x = 78

3x = 78

x = 78 / 3

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Which quadrant is (-4,-6) in?<br> A) I. <br> B) II. <br> C) III. <br> D) IV.
Dmitry [639]
It is in the 3rd quadrant 

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3 years ago
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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
Ivan has $1098 worth of $12 and $14 stock shares. The number of $14 shares is seven more than
Dafna1 [17]

Answer:

Number of 12$ Shares? 25

Number of 14$ Shares? 57

Step-by-step explanation:

Let x = number of $12 shares.

Let y = number of $14 shares.

"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098

The number of $14 shares is seven more than twice the number of $12 shares.

y = 2x + 7

We have a system of equations.

12x + 14y = 1098

y = 2x + 7

We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.

12x + 14(2x + 7) = 1098

12x + 28x + 98 = 1098

40x = 1000

x = 25

There are 25 $12 shares.

y = 2x + 7 = 2(25) + 7 = 57

There are 57 $14 shares.

Check:

25 × $12 + 57 × $1`4 = $300 + $798 = $1098

The total value is correct, so the answer is correct.

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Answer:

answer is 5x-1

its A

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