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lina2011 [118]
3 years ago
11

Please help! and explain the answer please

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0

Answer:

A)52.3

Step-by-step explanation:

sin30=x/70

x=sin30x70=1/2 * 70=35

sin42=35/y

y=35/sin42 =<u>52.3</u>

hope this helps

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Question:

Find numbers a and k so that x-2 is a factor of

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Step-by-step explanation:

Given

f(x)=x^4-2ax^3+ax^2- x+k

Factor:\ x - 4

f(-1)=3

Required

Find a and k

For f(-1)=3

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f(x)=x^4-2ax^3+ax^2- x+k

f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k

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f(-1) = 1 +2a + a +1 + k

f(-1) = 2 +3a + k

Substitute 3 for f(-1)

3 = 2 +3a + k

Collect Like Terms

3 - 2 = 3a + k

1 = 3a + k

Also:

If x - 2 is a factor, then

f(2) = 0

Substitute 2 for x and 0 for f(x)

f(x)=x^4-2ax^3+ax^2- x+k

0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k

0 = 16 - 2a * 8 + a * 4 - 2 + k

0 = 16 - 16a + 4a - 2 + k

0 = 16 - 12a - 2 + k

Collect Like Terms

2 - 16 = - 12a + k

-14 = k - 12a

k = 12a - 14

Substitute 12a - 14 for k in 1 = 3a + k

1 = 3a + 12a - 14

1 = 15a - 14

Collect Like Terms

15a = 1 + 14

15a = 15

Solve for a

a = \frac{15}{15}

a=1

Substitute 1 for a in k = 12a - 14

k = 12 * 1 - 14

k = 12 - 14

k = -2

3 0
2 years ago
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Markita says factors and multiples are related. Use the equation 6 x 7 = 42 to describe the relationships between factors and mu
snow_lady [41]

<em>Factors and multiples are related by multiplication.</em>

<h2>Explanation:</h2>

When you multiply numbers together to find a number, say, n, then those numbers are called factors of n. For instance:

a\times b \times c=n \\ \\ \\ Where: \\ \\ a,b,c \ are\ factors \ of \ n

On the other hand, a multiple, say, n, results when multiplying a number by an integer. For instance:

n=k\times a \\ \\ With \ k \ integer

So n is multiple of a

<em></em>

<em>As you can see, both factors and multiples implies a multiplication. So factors and multiples are related by multiplication.</em>

<h2>Learn more:</h2>

Product of linear factors: brainly.com/question/13882113

#LearnWithBrainly

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