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MaRussiya [10]
3 years ago
6

Factor the equation 5x^2+60x+160

Mathematics
1 answer:
timurjin [86]3 years ago
7 0

Answer:

5(x+4)(x+8)

Step-by-step explanation:

5x^2+60x+160

factor out the 5 first,

5(x^2+12x+32),

then factor out the trinomial,

find 2 numbers that when they multiply,

you get the third term, which is 32 in this case,

and when they add up,

you get the second term, which is 12 in this case.

5(x+4)(x+8)

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Answer:

Flags are one of the simplest yet most powerful pieces of design ever conceived.

Step-by-step explanation:

They can make us swell with pride, burn with hatred — and even inspire people to die or kill in their name, says vexillologist Michael Green. Take a brief walk through history as Green explores the symbolic fervor behind flags that unify and divide, inviting us to imagine a future where we can come together under one collective identity: humanity.

5 0
2 years ago
Collection of domestic animals is a set. However, a collection of big domestic animal is not a set. How do you justify this stat
Schach [20]

Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.

<h3>What are Domesticated animals?</h3>

Domestic animals are known to bee  dogs, cats, etc. that can live along with humans.

Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.

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6 0
2 years ago
The equation of the hyperbola with center at (0, 0) opening horizontally, with a = 2, b = 5 is:
tresset_1 [31]

Answer:

\frac{x^2}{4}-\frac{y^2}{25} =1

Step-by-step explanation:

we are given

center =(0,0)

we can compare with

center=(h,k)=(0,0)

so, h=0 and k=0

a=2 and b=5

now, we can use equation of hyperbola formula

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1

now, we can plug values

\frac{(x-0)^2}{2^2}-\frac{(y-0)^2}{5^2} =1

we can simplify it

and we get equation of hyperbola as

\frac{x^2}{4}-\frac{y^2}{25} =1


5 0
3 years ago
Find the surface area of the pyramid. The side lengths of the base are equal.
Pachacha [2.7K]

Answer:

A = 177.46

Step-by-step explanation:

A = lw + l\sqrt{(\frac{w}{2})^{2} + h^{2}} + w \sqrt{(\frac{l}{2})^{2} + h^{2}

A = 6*6+6root((6/2)^2+11.4^2)+6root((6/2)^2+11.4^2)

A = 177.46

4 0
2 years ago
Read 2 more answers
John bought new headphones originally listed for $ 80.99 . They are \(35\%)| off. Which equation can be used to find the amount
Katarina [22]

Answer:

$28.35

Step-by-step explanation:

The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.

7 0
2 years ago
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