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olga2289 [7]
3 years ago
5

Plzzzzzz hellllllllllllpppppppppppp

Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer:

1/5

Step-by-step explanation:

The original is 2/10 but simplified it is 1/5

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.
Mice21 [21]

Answer:

<em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

Step-by-step explanation:

Making factors of 8y^{6}+ 144y^{5}+ 640y^{4}

Taking 8y^{4} common:

\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)

Using <em>factorization</em> method:

\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times  4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)

Now, Making factors of 2y^{4} + 40y^{3} + 200y^{2}

Taking 2y^{2} common:

\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)

Using <em>factorization</em> method:

\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10)        ............ (2)

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

5 0
2 years ago
What is the area of the path that Julie walks everyday? Round your answer to the nearest hundredth.
Travka [436]
1.35=area
formula for area of a triangle is base times height divided by two and therefore 1.5 times 1.8 divided by two is 1.35
3 0
2 years ago
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the graph of f(x)=6(3)^x-1 from problem 2 moves closer and closer to the x-axis as x decreases. Does the graph ever reach the x-
I am Lyosha [343]
No, the graph will never reach the x axis because it is an exponential equation, and y = 0 (the x axis) is an undefined asymptote.
4 0
2 years ago
Carpenters refer to the slope of a roof as the pitch of the roof. Find the pitch of the roof.
notsponge [240]

Answer:

12.6 ft (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

4 0
2 years ago
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PLEASE HELP THIS IS DUE ASAP AND I WILL MARK U BRAINLIEST
suter [353]

Answer: 4/1

Step-by-step explanation:

Rise over run. Starting at 1 on the y axis this line moves up 4 and over (right) 1 before it hits 1 on the x axis.

7 0
2 years ago
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