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Alex73 [517]
4 years ago
8

What is 2/3x=2y+6 in ax+by=c form?

Mathematics
1 answer:
kifflom [539]4 years ago
8 0

Answer:

2x - 6y = 18

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

\frac{2}{3} x = 2y + 6

Multiply through by 3 to clear the fraction

2x = 6y + 18 ( subtract 6y from both sides )

2x - 6y = 18 ← in standard form

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A map of the town that Annie and Barbara live in can be represented by the Cartesian plane. Annie is located at (3,5) and Barbar
Dafna1 [17]

Answer:

Difference = 2

Step-by-step explanation:

Coordinates of location of Annie  = (3, 5)

Initial(But Wrong) Coordinates of location of Barbara = (-6, 2)

They agreed to meet at the midpoint of their current location. The formula to calculate the midpoint is:

(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})

Using the values in the above formula, we get:

(\frac{-6+3}{2},\frac{2+5}{2})\\\\ =(-1.5,3.5)

Correct Coordinates of location of Barbara = (-10,4)

So, the correct midpoint between location of Barbara and Annie would be:

(\frac{-10+3}{2},\frac{4+5}{2})\\\\ =(-3.5,4.5)

The x-coordinate of initial mid-point = -1.5

The x-coordinate of actual mid-point = -3.5

The positive difference between the x-coordinates = | -3.5 - (-1.5) |

= | -3.5 + 1.5 |

= | -2 |

= 2

The positive difference in the x-coordinates of where they agreed to meet and where they should actually meet is 2

8 0
3 years ago
Definition of a line segment?
Nostrana [21]
Part of a line but has 2 end point, extends in no direction. example:  @[email protected]
5 0
3 years ago
If q varies inversely as r, and q = 10 when r = 2.5, find the equation that connects q and r. question 2 options: q=r25 q=r4 q=2
KengaRu [80]

The variation equation is qr = 25

<h3>How to determine the equation?</h3>

An inverse variation is represented as:

qr = k

Where k is the constant of variation

When q = 10 and r =2.5, we have:

k = 10 * 2.5

Evaluate

k = 25

Substitute k = 25 in qr = k

qr = 25

Hence, the equation is qr = 25

Read more about variation at:

brainly.com/question/6499629

#SPJ1

8 0
2 years ago
Solve the expression for x: (17 – 5) (x + 6) = 3x – 12
patriot [66]

(17-5)(x+6)-(3x-12)=0

12(x+6)-(3x-12)=0

12x-(3x-12)+72=0

12x-3x+12+72=0

9x+84=0

9x=-84

x=9+1/3






7 0
4 years ago
Describe how you can find the prime factorization of a number.
dsp73

You can use a factor tree to find the factorization of a number is to divide out prime numbers only. For example: Number 24 

24

12  2

6    2

3   2

2 is a primer number, so thats why im dividing it by that number

5 0
3 years ago
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