Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
This is because logarithm has its own set of properties that is different from algebra. The term log(3x - 1) is equivalent to log 3x/log 1. If we continue to rearrange and find x, the solution would be:
log(3x - 1) = log28
log 3x/log 1 = log 28
log 3x = log 28 * log 1 = 0
3x = 10⁰ = 1
3x = 1
x = 1/3
<em>So, that means 3x - 1 = 3(1/3) - 1 = 0.</em>
Answer:
B
Step-by-step explanation:
40+88+15=128+15=143
There are three rectangles that compose this shape. The first one has side lengths of 5 & 8 (l times w=a 5 times 8=40, area of the rectangle is 40). The second one has side lengths of 8&11 (8 times 11=88, area is 88). Final rectangles has side lengths of 16-(8+5) and 5 (16-13=3, 3 times 5=15, Area=15). All three of those rectangles added up is 143 as an area of the figure.
Answer:
x = 27
Step-by-step explanation:
To isolate x, we can multiply it by the reciprocal of the fraction (-3/2). We do the same to the -18.
Through cross-multiplication, -18/1 x -3/2 simplifies into -9/1 x -3/1 (because 2 goes into 2 once and 2 goes into -18 -9 times).
-9 x -3 = 27; therefore, x = 27
the correct answer for plato users is
2!!
