Determine the converse of the conditional statement: if the lengths of the sides of a rectangle are 6 inches and 4 inches, the area is 24 square inches.

If the area is 24 square inches, the lengths of the sides of a rectangle are 6 inches and 4 inches.  

Step-by-step explanation:

If the lengths of the sides of a rectangle are 6 inches and 4 inches, the area is 24 square inches.  

converse switches the statements

If the area is 24 square inches, the lengths of the sides of a rectangle are 6 inches and 4 inches.  

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

49%

step-by-step explanation:

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