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Gemiola [76]
3 years ago
15

Factor the trinomial completely. a^4 -2a^2 - 35

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0

Answer:

(a^2+5)(a^2-7)

Step-by-step explanation:

  • a^4 -2a^2 - 35=
  • a^4-2a^2+1-36=
  • (a^2-1)^2-6^2=
  • (a^2-1+6)(a^2-1-6)=
  • (a^2+5)(a^2-7)
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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Debora [2.8K]

Answer:

The width  of the rectangle is 14'8",  and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

l = 2w + 4

The perimeter is 96 feet:

p = 96

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

p = 2l + 2w

We can solve for w by plugging the other two values into the last:

p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}

Now we can find the length by plugging w into the first equation:

l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}

One third of  a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96

So we know our answer's correct

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Jessica has the most stickers with her 23,450 stickers.
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4 years ago
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Answer:

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Step-by-step explanation:

Pepper ha 7.5 bags

These bags are needed to clear 12 yards squared equally

Therefore the number of bags required for each square yard can be calculated as follows

= 7.5/12

= 0.625

0.625 to fraction is 5/8

Hence 5/8 bags is needed for each square yard

3 0
3 years ago
a man standing in a field in new hampshire sees cannon mountain in front of him. he knows that the height of cannon mountain is
hjlf
Check the picture below

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4 0
4 years ago
Help me, I need to answer a question: 50% of 15
harkovskaia [24]
50% is exactly half, so to find half of something you just divide it by 2= 7.5

Or you could multiply it

15 x 0.50=7.5
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