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erma4kov [3.2K]
3 years ago
15

Enter the system represented on the graph below. Find and explain the meaning of the point of intersection of the lines.

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

y = -2x+4

y = (3/2)x -3

The point of intersection is (2, 0), or x=2 and y=0.

Step-by-step explanation:

The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...

y = slope · x + (y-intercept)

y = -2x + 4

Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...

y = (3/2)x -3

The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.

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Help Evaluate each expression for d = -3.
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Answer:

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Step-by-step explanation

- 7(6x-1)+x=36

  1. => 42x - 7 + x = 36
  2. => 43x - 7 = 36
  3. => 43x =  36 + 6 = 43
  4. => x = 43 / 43 = 1

- 11-2(8+3p)=7²

  1. => 11 - 16 - 6p = 7^2
  2. => 11 - 16 - 6p = 49
  3. => -5 - 6p = 49
  4. => -6p = 49 + 5 = 54
  5. => p = (54) / (-6) = - 9

-  1/4(5b+11)=19

  1. => (5/4)b +  (11/4) = 19
  2. => (5/4)b = 19 - (11/4) = 65 /4
  3. => b = (65/4) / (5/4) => (65/4) * (4/5) = 13

- 2/7(4m-18)=12

  1. => (8/7)m - (36/7) = 12
  2. => (8/7)m = 12 + (36/7) = 120/7
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3 years ago
The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if
Nitella [24]

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = {x}^{2}  + 3x - 6x - 18

Lets factorise the polynomial

=  >  x(x + 3) - 6(x + 3)

=  > (x  + 3)(x - 6)

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = x + 3 = 12 + 3 = 15

Width = x - 6 = 12 - 6 = 6

Area = Length × Width = 15 × 6 = 90

5 0
3 years ago
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