The equation A = x(x-4) describes the area, A, of a rectangular flower garden, where x is the width in feet.

Mathematics

1 answer:

BabaBlast [244]2 years ago

4 0

Answer:

The flower garden width would be 6 ft

Step-by-step explanation:

A = 12 ft^2 = x(x + 4) becomes:

x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0

Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16

Taking the square root of both sides yields x + 2 = ±4.

In this context only a positive x value makes sense: x = 2 + 4 => x = 6.

The flower garden width would be 6 ft. The other dimension would be 6 - 4, or 2, ft.

You might be interested in

Please help!!!!!!!!!!!!!!

GREYUIT [131]

Pay attention here because I'm adding an extra letter to our circle to help keep track of the values in our formula. OUTSIDE of the intercepted arc I'm adding the point E. So the major arc is arc BEG and the minor arc is arc BG. The formula then for us is ∠ $BFG= \frac{1}{2}(arcBEG-arcBG)$ . We just don't have values for the arcs yet. If the measure of the central angle is 4x+238, then the measure of arcBG is also 4x+238. Around the outside of the circle is 360°. So we will use it in an expression. ArcBEG=360-(4x+238). Fitting that into our formula we have $2x+146= \frac{1}{2}[(360-4x-238)-(4x+238)]$ . Doing all the simplifying inside there we have $2x+146= \frac{1}{2}(122-4x-4x-238)$ and $2x+146= \frac{1}{2}(-8x-116)$ . Multiply both sides by 2 to get rid of the fraction: 4x+292=-8x-116. Combine like terms to get 12x = -408 and divide to solve for x. x = -34. Fourth choice down from the top.

3 0

2 years ago

Barney purchases an MP3 player from an online store for $86.00. On the checkout page, he notices that the store has applied a sa

Marat540 [252]

Answer:

I'm on the same thing can someone help

3 0

2 years ago

A box has dimensions of 17 inches long 1.3 feet wide and 8 inches high what is the volume of the box the formula of the volumes

nataly862011 [7]

The box is about 2121.6 inches cubed

8 0