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guapka [62]
4 years ago
9

Suppose a farmer has 1000 yards of fencing to enclose a rectangular field. what dimensions will yield the largest area?

Mathematics
1 answer:
Stolb23 [73]4 years ago
6 0
1,000/4=250
250 yards of fencing on each side.
250 yards by 250 yards.
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how to use Lcd in this problem? [a-2. -_1_ =_3_]find Lcd [ a+3 1 a-2]. (a+3)(a+2). multiply all neumerator to (LCD) a-2 - 1= 3 _
san4es73 [151]

It's not entirely clear to me what you're trying to solve, but it looks like the initial equation is

\dfrac{a-2}{a+3} -1 = \dfrac3{a+2}

First convert each term into a fraction with the same (i.e. the least common) denominator. The first term needs to be multiplied by <em>a</em> + 2; the second term by (<em>a</em> + 3) (<em>a</em> + 2); and the third term by <em>a</em> + 3 :

\dfrac{a-2}{a+3}\cdot\dfrac{a+2}{a+2} -1\cdot\dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac3{a+2}\cdot\dfrac{a+3}{a+3} \\\\ \dfrac{(a-2)(a+2)}{(a+3)(a+2)} - \dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac{3(a+3)}{(a+3)(a+2)}

Now that everything has the same denominator, we can combine the fractions into one. Move every term to one side and join the numerators:

\dfrac{(a-2)(a+2)-(a+3)(a+2)-3(a+3)}{(a+3)(a+2)} = 0

Simplify the numerator:

\dfrac{(a^2-4)-(a^2+5a+6)-(3a+9)}{(a+3)(a+2)} = 0 \\\\ \dfrac{-8a-19}{(a+3)(a+2)} = 0

If neither <em>a</em> = -3 nor <em>a</em> = -2, we can ignore the denominator:

-8a-19 = 0

Solve for <em>a</em> :

-8a = 19 \\\\ \boxed{a = -\dfrac{19}8}

4 0
3 years ago
The price of a pair of shoes was reduced from $20 to $14
sdas [7]

Answer: D 30%

Step-by-step explanation:amount change/amount start x 100%

(20-14)/20=.3

.3 x 100% = 30%

3 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bp%7D%7B5%7D" id="TexFormula1" title="\frac{p}{5}" alt="\frac{p}{5}" align="absmiddle
tatyana61 [14]

Answer:

p ≥ -10

Step-by-step explanation:

first, subtract one from each side to get:

p/5 ≥ -2

lastly, multiply each side by 5

p ≥ -10

6 0
3 years ago
Rewrite these expressions using words: 3/4x(2 2/5-5/6)
myrzilka [38]

Answer:

Step by atep explaination :

  • \frac{3}{4}    means three₋fourth
  • 2\frac{2}{5}  means two and two₋fifths
  • \frac{5}{6}    means five₋sixth

An algebraic expression in words can be written as

A numbers three₋fourth times the subtractions of five₋sixths from two and two₋fifths

5 0
4 years ago
Attachment look at it​
stiks02 [169]
4J-7S
21/7=3

multiply both sides by 3
12J-21S
12 cups of juice to make 21 cups of soda
4 0
3 years ago
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