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SashulF [63]
3 years ago
8

What is the slope of the line parallel to the line 4y - 7x = -4?

Mathematics
2 answers:
morpeh [17]3 years ago
6 0

Answer: \frac{7}{4}

Step-by-step explanation:

The slope of the line parallel to the line given will be the same. Parallel lines NEVER tough and cross each other. Therefore, the slope will be the same.

4y-7x=-4                [add both sides by 7x]

4y=7x-4                   [divide both sides by 4]

y=\frac{7x-4}{4}                       [*Remember, you are dividing both 7x and -4 by 4]

y=\frac{7}{4} x-1

Therefore, the slope is \frac{7}{4}.

Sergeu [11.5K]3 years ago
3 0

Answer: The slope is  7/4 as well

Step-by-step explanation:

First convert the equation into slope intercept form  and to determine the slope.

4y - 7x = - 4      Add 7x to both sides

    +7x         +7x

4y =  7x  -4       Now divide both sides by 4  

y = 7/4x - 1       In this case the slope is 7/4  and the y-intercept is -1 .

Now notice that the slope of parallel lines have the same slope and different  y-intercepts. Meaning that the slope of this line will be same as the slope of the other line.

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4 0
3 years ago
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What is the equation of the line that passes through the point (3,5) and is perpendicular to the line x=4
Mamont248 [21]
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7 0
3 years ago
Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).
Aleksandr [31]

The factors of the quadratic equation are (x+3) and (x-15).

<h2 /><h2>Given to us</h2>
  • x^2-12x-45\\

<h3>To find</h3>

The factors of x^2-12x-45\\.

<h3 /><h3>Solution</h3>

x^2-12x-45\\

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

x^2-15x+3x-45\\

Taking common out,

x^2-15x+3x-45\\x(x-15)+3(x-15)\\(x+3)(x-15)

Hence, the factors of the quadratic equation are (x+3) and (x-15).

Learn more about quadratic equations:

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3 0
2 years ago
Parallel Lines Cut by a Transversal: Maze
CaHeK987 [17]

Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square

The values of the Maze are as follows;

  1. x = 10
  2. x = 8
  3. x = -9
  4. x = 5
  5. x = 11
  6. x = 3
  7. x = -5
  8. x = 9
  9. x = 7
  10. x = -7

Reason:

The solutions are;

10·x + 15 = 12·x - 5  by alternate interior angles theorem

  • ∴ x = 10

6·x + 6 = 5·x + 14 by alternate exterior angles theorem

  • ∴ x = 8

x + 109 = 100 by corresponding angles theorem

  • ∴ x = -9

11·x + 5 + 120° = 180° by same side interior angles theorem

  • ∴ x = 5

11·x - 1 = 10·x + 10 by corresponding angles theorem

  • ∴ x = 11

35·x + 5 = 110 by corresponding angles theorem

  • ∴ x = 3

x + 85 + x + 105 = 180 by same side interior angles theorem

  • ∴ x = -5

7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem

  • ∴ x = 9

19·x - 3 = 130 by alternate interior angles theorem

  • ∴ x = 7

x + 67 = 60 by alternate interior angles theorem

  • x = -7

Learn more here:

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7 0
3 years ago
Please help me asap!!!
Ber [7]

Answer:

你看chart的triangle你看the dimension

Step-by-step explanation:

7 0
2 years ago
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