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steposvetlana [31]
2 years ago
14

Simplify 59.95m − 30 + 7.95m + 45 + 9.49m

Mathematics
1 answer:
Ksju [112]2 years ago
3 0

Answer:

77.39m + 15

Step-by-step explanation:

To simplify, we add all the common terms among themselves.

We have terms with the unit m and terms without any unit. So we add them among themselves.

59.95m − 30 + 7.95m + 45 + 9.49m

(59.95 + 7.95 + 9.49)m + (-30 + 45)

77.39m + 15

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louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is
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Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

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2 years ago
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If p and q are nonzero integers, which pair of points must lie in the same quadrant?
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Hello there.
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Aleksandr-060686 [28]

Answer:

Extrema: relative minimum (1.25,-3.25), relative maximums (3.25,10) and (0,0)

Zeros: (0,0), (2,0), and (4,0)

End behavior: As x approaches infinity, the function approaches negative infinity. As x approaches negative infinity, the function approaches negative infinity.

Intervals of increase and decrease: increasing on (-∞, 0) and (1.25, 3.25), decreasing on (0, 1.25) and (3.25, ∞)

Positive and negative intervals: positive on (2, 4), negative on (-∞, 0), (0, 2), and (4, ∞)

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Step-by-step explanation:

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