A rectangle is (x + 6) meters (m) long and (2x - 1) meters wide. (x + 6) m
(2x - 1) m
Which expression represents the area of the rectangle in square meters?
O 2x2 - 6
020? + 7-6
O 2012 + 112 - 6
202 + 13x - 6

Option (3)

Step-by-step explanation:

Length of the given rectangle = (x + 6) meters

Width of the given rectangle = (2x - 1) meters

Area of a rectangle = Length × Width

                                = (x + 6)(2x - 1)

                                = x(2x - 1) + 6(2x - 1)

                                = 2x² - x + 12x - 6

                                = (2x² + 11x - 6) square meters

Therefore, area of the given rectangle is defined by the expression given in option (3).

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

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.