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velikii [3]
4 years ago
9

Factor each expression. 2p³+6p²+3p+9

Mathematics
2 answers:
larisa86 [58]4 years ago
8 0
(p+3) (<span> 2p squar 2 +9)\
have a great day!!!!:)</span>
Natasha2012 [34]4 years ago
6 0
2p^3 + 6p^2 + 3p + 9 \\ \\ 2p^2 (p + 3) + 3(p + 3) \\ \\ (p + 3)(2p^2 + 3) \\ \\

The answer is: (p + 3)(2p² + 3).
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The vertices of a backyard are W(10,30),X(10,100),Y(110,100),Z(50,30). The coordinates are measured in feet. The line segment XZ
MariettaO [177]

Given vertices W(10,30), X(10,100), Y(110,100), Z(50,30) of a backyard, find distances WX, XY, YZ, ZW and XZ:

1. WX=\sqrt{(10-10)^2+(30-100)^2}=\sqrt{70^2}=70\ ft;

2. XY=\sqrt{(110-10)^2+(100-100)^2}=\sqrt{100^2}=100\ ft;

3. YZ=\sqrt{(110-50)^2+(100-30)^2}=\sqrt{60^2+70^2}=10\sqrt{85}\ ft;

4. ZW=\sqrt{(50-10)^2+(30-30)^2}=\sqrt{40^2}=40\ ft;

5. XZ=\sqrt{(10-50)^2+(100-30)^2}=\sqrt{40^2+70^2}=10\sqrt{65}\ ft.

Then:

1. the area

A_{WXZ}=\sqrt{\frac{70+40+10\sqrt{65}}{2}\\\cdot (\frac{70+40+10\sqrt{65}}{2}-70)\cdot (\frac{70+40+10\sqrt{65}}{2}-40)\cdot (\frac{70+40+10\sqrt{65}}{2}-10\sqrt{65})}=\\ \\=1400\ ft^2.

2. the area

A_{XYZ}=\sqrt{\frac{100+10\sqrt{85}+10\sqrt{65}}{2}\cdot (\frac{100+10\sqrt{85}+10\sqrt{65}}{2}-100)}\cdot\\ \\\cdot\sqrt{(\frac{100+10\sqrt{85}+10\sqrt{65}}{2}-10\sqrt{85})\cdot (\frac{100+10\sqrt{85}+10\sqrt{65}}{2}-10\sqrt{65})}=3500\ ft^2.

Then

\dfrac{A_{XYZ}}{A_{WXZ}}=\dfrac{3500}{1400}=2.5 times greater.

6 0
4 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a ra
sleet_krkn [62]

Answer:

Let r represent the radius of the smaller circle and R the radius of the larger circle.

Apply ratios: the radius of smaller circle to radius of larger circle, i.e.

r: R = 3 : 7.

I complete rotation = 360 degrees.

Part 1:

For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:

For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:

The number of rotations = R/r = 7/3 = 2.3 rotations  

BRAINLIEST PLEASE??

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Child admission is 5.50 and adult admission is 8.80, twice as many adult tickets as child tickets were sold, for a total of 669.
Vlad1618 [11]

Answer:

The answer to your question is: 29 tickets for children and 58 tickets for men.

Step-by-step explanation:

Child = c = $ 5.50

Adult = a = $8.80

Equation

                                  a = 2c

                           5.5c + 8.8a = 669.9

                           5.5c + 8.8(2c) = 669.9

                           5.5c + 17.6c = 669.9

                           23.1c = 669.9

                           c = 669.9 / 23.1

                          c = 29

                           a = 2(29)

                          a = 58

                       

8 0
4 years ago
Read 2 more answers
Please help, solve for the value of each variable.
spayn [35]

Answer:

I dont really know but all i can say is that it is more then 200

4 0
3 years ago
Please help if anyone knows!!!
valentina_108 [34]
The exact area is 132.665ft squared
The approximate area is 132.7ft squared
7 0
3 years ago
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