I need help answering

Mathematics

2 answers:

lions [1.4K]3 years ago

5 0

Your equation is 2+0.5x=x( second x being the fancy one) then you 5 in for the fancy x, then you get rid of the 2 subtracting it to the other side(5), the you divide 0.5 from 3, the 5-2, then you have x =6

2+0.5x=5, 0.5x=3, x=6. -2. -2. /0.5.

Natasha_Volkova [10]3 years ago

3 0

2+ 0.5(5)
= 2+ 2.5
= 4.5

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valentinak56 [21]

The area of the shaded region is 3x^2 + 6x

<h3>How to determine the area of the shaded region?</h3>

The given parameters are:

Top side of the shaded rectangle = 2x + 7.
Left side of the shaded rectangle = 2x.
Top side of the unshaded rectangle = x + 8.
Left side of the unshaded rectangle = x.

The area of the shaded region is calculated as:

Shaded region area = (Top side of the shaded rectangle * Left side of the shaded rectangle) - (Top side of the unshaded rectangle * Left side of the unshaded rectangle)

Substitute the known values in the above equation

Shaded region area = (2x + 7) * (2x) - (x + 8) * (x)

Evaluate the products

Shaded region area = (4x^2 + 14x) - (x^2 + 8x)

Open the bracket

Shaded region area = 4x^2 + 14x - x^2 - 8x

Collect the like terms

Shaded region area = 4x^2 - x^2 + 14x - 8x

Evaluate the like terms

Shaded region area = 3x^2 + 6x

Hence, the area of the shaded region is 3x^2 + 6x