On a given planet, the weight of an object varies directly with the mass of the object. suppose that an object whose mass is 8 kg weighs 40 n. find the weight of an object whose mass is 7 kg.

35N

Step-by-step explanation:

Find the constant multiplied to the mass:

8 * k = 40

Divided by 8

k = 5

Find the weight of a 7 kg mass

7 * 5 = 35N

28

step-by-step explanation:

because that's the answer

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)