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Katarina [22]
3 years ago
13

How many solutions does this linear system of equations have?

Mathematics
2 answers:
Mazyrski [523]3 years ago
8 0
It has infinite solutions
Irina18 [472]3 years ago
4 0
It has infinite solutions
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A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning
zvonat [6]

Answer: 46x^2+73x+15

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

A=lw

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are (6x+7) by (8x+5), its area is:

A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35

As they are planning that the dimensions of the mural be (x+4) by (2x+5), its area is:

A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20

Then the area of the remaining wall after the mural has been painted is:

A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15

8 0
3 years ago
Number 27.
atroni [7]
<h3>Answer:</h3>

none of these has "no solution"

<h3>Explanation:</h3>

A. The solution is (8/3, 3)

B. The second equation is -1/2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.

C. The solution is (-4, -2)

D. The solution is (4, -2)

E. The second equation is 2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.

_____

A system of equations will have "no solution" when it describes parallel lines—lines that do not intersect. In standard form, such equations are recognizable by their different constants. For example,

  • 3x -4y = -4
  • 3x -4y = 20 . . . . . . 20 is different from -4

have different constants, so the equations describe parallel lines.

We could multiply one of these by -2 and the system would still be "inconsistent"—having no solution.

  • 3x -4y = -4
  • -6x +8y = -40
5 0
3 years ago
What is 6/5 x 10 please help
inessss [21]

Answer:

12

Step-by-step explanation:

easy peasy

5 0
2 years ago
Read 2 more answers
What is the measure of ABC?<br> A. 130<br> B. 85<br> C.40<br> D.170
Nitella [24]

Answer:

130

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which number completes this Pythagorean triple 300, 400 ?
forsale [732]
300²+400²=500² is your answer
a²<span> + b</span>²<span> = c</span>²
8 0
3 years ago
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