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Alekssandra [29.7K]
4 years ago
13

Solve the given linear Diophantine equation. A) 12x+9y=15 B) 8x+10y=17

Mathematics
1 answer:
Nookie1986 [14]4 years ago
5 0

Answer:

  A) (x, y) = (2-3n, 4n-1) . . . . for any integer n

  B) no solution

Step-by-step explanation:

A) All coefficients have a common factor of 3, so any solution of the reduced equation will be a solution of the given equation. The reduced equation is ...

  4x +3y = 5

A graph of the original shows (x, y) = (2, -1) is a solution. Then other solutions will be those values with a multiple of 4 added to y and the same multiple of 3 subtracted from x:

  (x, y) = (2 -3n, 4n -1)

__

B) The left side of the equation is an even number for any integer values of x and y. The right side is an odd number. There can be no solution.

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What is 6.23 million written in scientific notation?
taurus [48]

Answer:

6.23*10^6

Step-by-step explanation:

We first write the answer in full notation 6,230,000.

Then we count how many decimal places it takes before we have one leading digit. Since it is six, we move the decimal place and write 6.23*10^6

7 0
2 years ago
Which property is illustrated by the following statement if ABC=DEF and DEF=XYZ then ABC=XYZ
Harlamova29_29 [7]

Answer:

Transitive property of equality

Step-by-step explanation:

Let A be any non empty set and R is any subset of the Cartesian product A × A. Then, R is a relation on A.

The relation R is said to be a transitive relation if (a, b) ∈ R, (b, c) ∈ R, then (a, c) ∈ R.

It is given that ABC = DEF and DEF = XYZ, then ABC = XYZ.

This shows the transitive property of equality.

3 0
3 years ago
Read 2 more answers
Can someone explain how to do this?
Over [174]

Answer:

Step-by-step explanation:

The two legs of an iscosles right triangle are equal. The sides opposite each 45 degree angle are equal.  

6^2 + 6^2 = x^2

36 + 36 = x^2

x^2 = 72

sqrt(x^2) = sqrt(72)

x = 6√2

3 0
3 years ago
T-Shirts & More Print Shop will print any image on a coffee mug for a cost of $2 per mug and a one-time charge of $12 to set
viktelen [127]

T-Shirts $ More Shop: Final cost = 2m + 12

m = mug

You Say It, We Print It: Final Cost = 5m

If you buy 5 mugs from both place:

2 * 5 = 10

10 + 12 = 22

$22 for T-Shirts & More

5 * 5 = $25

$25 from You Say It, We Print It

D. T-Shirts & More is the better buy if you buy more than 4 mugs.

4 0
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Find the value of z.
omeli [17]

Applying the angle of intersecting chords theorem, the value of z is: D. 100.

<h3>What is the Angle of Intersecting Chords Theorem?</h3>

According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.

Applying the angle of intersecting chords theorem, let's find x first:

73 = 1/2(96 + x)

Multiply both sides by 2

2 × (73) = 1/2(96 + x) × 2

146 = 96 + x

Subtract both sides by 96

146 - 96 = 96 + x - 96

50 = x

x = 50°

Therefore:

x + z + 96 + 114 = 360° [full circle measure]

Plug in the value of x

50 + z + 96 + 114 = 360

z + 260 = 360

Subtract both sides by 260

z + 260 - 260 = 360 - 260

z = 100°

The answer is: D. 100°.

Learn more about the angle of intersecting chords theorem on:

brainly.com/question/23732231

#SPJ1

8 0
2 years ago
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