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mrs_skeptik [129]
3 years ago
5

Which of the following points is a solution of y > |x| + 5?

Mathematics
1 answer:
lara [203]3 years ago
8 0
The answer is the second option, (1,7).
Let's put it into the inequality. 
7 > |1| + 5
The absolute value of 1 is 1 because it is 1 away from zero. So:
7 > 1 + 5 
1 + 5 is 6. 
7 > 6 

Hope this helps!
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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

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

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

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

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

260-2x=0

x=130\text{ feet}

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}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
3 years ago
Convert 674 cm into m
Lyrx [107]

Answer is below. Look at my explanation to understand my answer.

To convert centimetres into meters, you'll divide how many centimetres by 100.

With that being said...

674 ÷ 100 = 6.74

Hence, 6.74 is your answer.

Let me know of any questions or concerns.

7 0
3 years ago
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