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Irina-Kira [14]
4 years ago
14

(4p - 2 )(p- 4) simplified form

Mathematics
2 answers:
nignag [31]4 years ago
8 0
<span>(4p - 2 )(p- 4) 
Use FOIL
4p^2 - 16p - 2p + 8
Combine like terms
Final Answer: 4p^2 - 18p + 8</span>
shepuryov [24]4 years ago
5 0
First
Outer
Inner
Last

4p×p= 4p^2
4p×4= 16p
-2×p= -2p
-2×-4= 8

So the equation is
4p^2+14p+8
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. ∆ABC ~ ∆DEF. Since the triangles are similar, the ratio of AB/DE must be the same as the ratio of ?/DF. What segment complete
givi [52]

Answer:

AC

Step-by-step explanation:

∆ABC ~ ∆DEF

AB/DE

∆ABC ~ ∆DEF

AC/DF

Answer: AC

5 0
3 years ago
The nature park has a pride of 7 adult lions and 4 cubs.
Levart [38]
The correct awnser is 54 i hope i help you
7 0
3 years ago
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A rectangular public park has an area of 3,600 square feet. It is surrounded on three sides by a chain link fence. If the entire
Dafna11 [192]

Answer:

If length of the field is 30 ft, then width is 120 ft.

If the  length of the field is 60 ft, then width is 60 ft.

Step-by-step explanation:

Let us assume the length of the rectangular park = L ft

Let us assume the breadth of the rectangular park = B  ft

Now, AREA of the given park =  L x B

⇒ L x B  = 3,600 sq ft   ... (1)

Also, the perimeter of three sides  = 180 ft

⇒ 2 L +  B  = 180  ..... (2)

Now, from (1) and (2), we get:

L x B  = 3,600

2 L +  B  = 180   ⇒ B  = 180 - 2 L

Substitute this in(1) , we get:

L x B  = 3,600   ⇒ L x (180 - 2 L)  = 3600

\implies  180 L - 2L^2 = 3600\\\implies L^2 -90L + 1800 = 0\\\implies (L-30)(L-60)= 0

⇒ L = 30 or L  = 60

So, if L  = 30  ft , then B = 180 - 2L  =  180 - 60 = 120 ft

So, if L  = 60  ft , then B = 180 - 2L  =  180 - 120 = 60 ft

So, if length of the field is 30 ft, then width is 120 ft.

And if the  length of the field is 60 ft, then width is 60 ft.

4 0
3 years ago
On average, Mercury is about 57 , 000 , 000 km from the sun, whereas Neptune is about 4.5 x 10^9 from the sun. What is the diffe
Svetlanka [38]

On average, Mercury is about 57,000 ,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury's and Neptune's distance from the sun?

<h3><em><u>Answer:</u></em></h3>

Difference between Mercury's and Neptune's distance from the sun is 4.443 \times 10^9 \text{ km }

<h3><em><u>Solution:</u></em></h3>

Given that,

Distance of mercury from sun = 57, 000, 000 km

Distance of Neptune from sun = 4.5 \times 10^9 \text{ km }

To find: Difference between Mercury's and Neptune's distance from the sun

<em><u>Let us convert distance of mercury from sun to scientific notation</u></em>

Scientific notation is used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits

<em><u>Steps to remember:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b

57, 000, 000 = 5.7 \times 10^7

Therefore,

Distance of mercury from sun = 5.7 \times 10^7 \text{ km }

<em><u>Calculating difference between Mercury's and Neptune's distance from the sun:</u></em>

difference = Distance of Neptune from sun - Distance of mercury from sun

\text{ difference } = (4.5 \times 10^9) - (5.7 \times 10^7)

Let us make both powers same

\text{ difference } = (4.5 \times 10^9) - (0.057 \times 10^9)

Taking 10 power 9 common we get,

\text{ difference } = 10^9(4.5-0.057)\\\\\text{ difference } = 10^9 \times (4.443)\\\\\text{ difference } = 4.443 \times 10^9

Thus difference between Mercury's and Neptune's distance from the sun is 4.443 \times 10^9 \text{ km }

3 0
4 years ago
Please help ASAP give you 20 points and brainiest
GuDViN [60]

Answer:

Total charge= -25

Step-by-step explanation:

Given :

Charges of some ions

Aluminium    +3

Phosphate     -3

Chloride         -1

Silver               +1

To find total charge on 8 phosphate,7 chloride and 2 Aluminium atoms

Aluminium    +3 × 2 =+6

Phosphate     -3 × 8 = -24

Chloride         -1 × 7 = -7

total charge=

+6-24-7 =+6 -31

= -25

6 0
4 years ago
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