Which values of a and b make the following equation true? (5x?y?)(-4x*ys) –-20x©yo
O a = 11, b= 7
O a = 11, b= 10
O a = 28, b= 7
O a = 28, b = 10

Complete Question is;

Which values of a and b make the following equation true (5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b

Option A - a = 11 and b = 7

Step-by-step explanation:

We are given the equation as;

(5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b

In algebra, we know that, zⁿ × z² = z^(n + 2).

Thus, collecting like terms in powers on left hand side, we have;

-20(x^(7 + 4)) × (y^(2 + 5)) = -20x^a • y^b

-20(x^(11))•(y^(7)) = -20x^a • y^b

Comparing the left and right hand side, we have;

a = 11 and b = 7

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled