Translate to a quadratic equation, then solve using the quadratic formula. The length of a rectangular air filter is 3 inches less than twice the width. Find the length and width of the filter if the area is 527 square inches.

Width of the rectangle = 17 inches

Length of the rectangle = 31 inches

Step-by-step explanation:

Let w be the width of the rectangle.

Given:

Width of the rectangle = w

Length of the rectangle = 2w - 3

Area of the rectangle

Solution:

We know that the area of the rectangle.

Now, we first find the root of the above equation.

Use quadratic formula with .

Put a, b and c value in above equation.

For positive sign

w = 17 inches

So, width of the rectangle is 17 inches.

Length of the rectangle.

Length = 31 inches

So, length of the rectangle is 31 inches.

Therefore, width and length of the rectangle is 17 inches and 31 inches.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: