The given pair of lines are not perpendicular.
<h3>What is a line?</h3>
The line is a curve showing the shortest distance between 2 points.
5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5
The slope of equation 1 is 
and intercept c = 2 / 5
Similarly
x + 2y = 4 - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2
Slope of the equation 2 
= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2
Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
Thus, the given pair of lines are not perpendicular.
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The number of books sold is 473.
<u>Step-by-step explanation:</u>
- The original cost of each book = $0.64
- The selling price of each book = $0.75
The difference between the original price and selling price of the book gives the profit per book.
The profit of one book = Selling price - Original price
Let,
- The total number of books be 'x'.
- The number of books sold be 'y'.
- The unsold books is 100.
- The total profit is -12 because it was gone to a loss of $12.
Therefore, the equation is formed as
total Profit = 0.75y - 0.64x
⇒ 0.75y - 0.64x = -12 --------(1)
Total books = sold books + unsold books
x = y + 100
⇒ x-y = 100 -------(2)
Substitute x= 100+y in the eq(1),
0.75y - 0.64(100+y) = -12
0.75y - 64 -0.64y = -12
0.11y = -12 +64
y = 52 / 0.11
y = 472.7
y ≅ 473
The number of book sold is 473 books.
The total number of books is (100+473) = 573 books.
Answer:
24 and 25
Step-by-step explanation:
From given, we have,
7 square = 49
Let the first positive number be = x
And the second consecutive positive number is = x+1
x + (x + 1) = 49
2x + 1 = 49
2x = 49 - 1
2x = 48
x = 24
the first number x = 24
the second consecutive number x+1 = 24 + 1 = 25
Thus, 7 square = 24 + 25 (the sum of two consecutive positive numbers.)
