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3 years ago

Factor p 2 + 18p + 32. (p+ 4)(p + 8) (P + 2)p+ 16) (P + 16)2

Mathematics

1 answer:

MrRissso [65]3 years ago

7 0

Answer:

(P + 2)(p+ 16)

Step-by-step explanation:

Factor p 2 + 18p + 32.

Consider the form x² +bx +c. Find a pair of integers whose product is c and whose sum is b .

In this case, whose product is 32 and whose sum is 18 .

2,16 .

Write the factored form using these integers.

(P + 2)(p+ 16)

CHECK

(P + 2)(p+ 16)

distribute

p(p+16) + 2(p+16)

simplify

p² + 16p + 2p + 32

combine 16p + 2p = 18p

p² + 18p + 32

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Find all complex solutions of 5x^2+5x+3=0.

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Answer:

see explanation

Step-by-step explanation:

5x² + 5x + 3 = 0 ← in standard form

with a = 5 , b = 5 , c = 3

Solve using the quadratic formula

x = $\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

= $\frac{-5+/-\sqrt{5^2-(4(5)(3)} }{2(5)}$

= $\frac{-5+/-\sqrt{25-60} }{10}$

= $\frac{-5+/-\sqrt{-35} }{10}$

= $\frac{-5+/-\sqrt{-1(35)} }{10}$

= $\frac{-5+/-i\sqrt{35} }{10}$

Then

x = $\frac{-5}{10}$ ± $\frac{1}{10}$ i $\sqrt{35}$ , that is

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2 years ago

In the Fig., if ABCD is a parallelogram, then the value of x is

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Answer:

Value of x is 20.

Step-by-step explanation:

The angle opposite to 4x is also 4x.

Similarly, the angle opposite to 5x is also 5x.

So, 4x+4x+5x+5x=360

18x=360

x=360/18

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1 year ago

What is the probability of not picking a red face card when you draw a card at random from a pack of 52 cards?

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Answer:

3/13

Step-by-step explanation:

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2 years ago

Read 2 more answers

6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His

vlada-n [284]

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Step-by-step explanation:

We have to calculate his unit rate for both type of races

So,

Unit rate for 400m race:

Distance = 400m

Time = 43 sec

$Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second$

Unit rate for 300m Race:

Distance = 300m

Time = 31 sec

$Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second$

The difference between both unit rates is:

$U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec$

Hence,

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Keywords: Unit rate, Speed

Learn more about unit rate at:

#LearnwithBrainly

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2 years ago

A certain connected graph has 68 vertices and 72 edges. Does it have a circuit?

OLEGan [10]

Answer:

Yes.

Step-by-step explanation:

If a graph G doesn't have a circuit, we must have that

$|E(G)|=|V(G)|-1$

where $|E(G)|$ is the number of edges of the graph and $|V(G)|$ the number of vertices. However, in this case it holds that

$|E(G)|=72>68=|V(G)|.$

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3 years ago