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4 years ago

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