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love history [14]
3 years ago
14

Factor completely and then place the factors in the proper location on the grid. 8 y^2 + 6 y + 1

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

(4y + 1)(2y + 1) -- Unfortunately I can't help with the grid part

Step-by-step explanation:

Multiply the a and c term (8 * 1) to get 8. Think of what factors of 8 would add up to your b term (6), which would be 4 and 2. Rewrite your equation as 8y^2 + 4y + 2y + 1 and consider one half at a time and factor them individually. For the left, that'd be 4y(2y + 1), and for the right, you can't factor anything so it's just 1(2y + 1). Check that the things inside the parentheses are the same, which they are, and add the things you factored out and multiply that by the part in the parentheses for (4y + 1)(2y + 1).

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How many triangles will be in the 5th set of triangles?
tia_tia [17]

Answer:

25.

Step-by-step explanation:

I am assuming you only mean the small triangles, not the composite ones.

The  second  triangle set has 3 triangles on bottom row and 1 on the top - total 4.

The 3rd triangle set has 5 triangles on the bottom , 3 on the next up and 1 on the top  - total  9

Following the pattern 4th set will have the number of triaNGLES

7 + 5 + 3 + 1 = 16.

So the 5th will have 9 + 7 + 5 + 3 +1 = 25 triangles.

6 0
3 years ago
Which structures secrete chemicals utilized for the completion of digestion within the small intestine?
Sever21 [200]

Answer:

In the small intestine more digestive enzymes act on the food. Pancreatic juice, from the pancreas, and bile, produced in the liver and stored in the gall bladder, continue to break down various parts of the food. They complete the digestion of starches, sugars, and fats. I hope tis helps

Step-by-step explanation:

5 0
3 years ago
Do the ratios <br> 8<br> 12<br> and <br> 3<br> 2<br> form a proportion?
sashaice [31]

Answer:

yea

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center
Katyanochek1 [597]
The length of one side of the octagon is given by:
 L = 72/8&#10;&#10;L = 9
 Then, the apothem can be determined using the Pythagorean theorem in the following way:
 11.8 ^ 2 = (9/2) ^ 2 + a ^ 2&#10;
 Clearing to have:
 a ^ 2 = 11.8 ^ 2 - (9/2) ^ 2
 a = \sqrt{11.8 ^ 2 - (9/2) ^ 2}
 a = 10.91
 Then, the area is given by:
 A = (8) * (1/2) * (L) * (a)&#10;
 Where,
 L: length of the octagon sides
 a: apotema
 Substituting values:
 A = (8) * (1/2) * (9) * (10.91)&#10;&#10;A = 392.76 feet ^ 2
 Answer:
 
the approximate length of the apothem is:
 
a = 10.91 feet
 
The approximate area of the floor of the gazebo is:
 
A = 392.76 feet ^ 2
8 0
4 years ago
Read 2 more answers
Given that AB parallels QR, AB bisects AE, QR bisects QT
enyata [817]

Answer:

  1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'

  2. Translate A' to Q

Step-by-step explanation:

We notice the triangles have the same orientation, so no reflection or rotation is involved. The desired mapping can be accomplished by dilation and translation:

  1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'

  2. Translate A' to Q

The result will be that ΔA"B"E" will lie on top of ΔQRT, as required.

5 0
3 years ago
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