Asystem of equations is shown below. which of the following statements describes the graph of this system of equations in the (x, y) coordinate plane?

3y − 5x = 15
6y − 10x = 30

select one:
a. two parallel lines with positive slope
b. two parallel lines with negative slope
c. a single line with positive slope
d. a single line with negative slope

C

Step-by-step explanation:

3y - 5x = 15   ... A

y = 5/3 * X +15   slope 3/5 , y intercept 15

6y - 10x =30

(6y - 10x) /2 = 30 / 2

3y - 5x = 15 ... B

y = 5/3 * x + 15 slope 3/5 , y intercept 15

∴ Answer is C

19

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)