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3 years ago

6

Evaluate the expression when a=1/4 and b=6..... -8ab=

1 answer:

NARA [144]3 years ago

4 0

The expression -8ab evaluates to -12 when a=1/4 and b=6.

Step-by-step explanation:

Given values are;

a = $\frac{1}{4}$ and b = 6

Expression to evaluate;

- 8ab

We will put values of a and b in expression;

$-8ab = -8*\frac{1}{4}*6\\\\-8ab = -\frac{48}{4}\\\\-8ab = -12$

The expression -8ab evaluates to -12 when a=1/4 and b=6.

Keywords: expression, multiplication

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

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$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

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to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

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$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

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Answer:

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Step-by-step explanation:

1)

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<CFE = 180 - 152

<CFE = 28

2)

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