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kenny6666 [7]
3 years ago
14

Prime factorization of 42 help plz.

Mathematics
2 answers:
artcher [175]3 years ago
8 0
42/2 = 21 ....> first factor is 2
21/3 = 7 ......> second factor is 3
7/7 = 1 ......> third factor is 7

This means that:
42=2*3*7
Therefore, the prime factors of 42 are: 2,3 and 7
Tema [17]3 years ago
7 0
2•3•7 that’s the answer
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In the accompanying diagram, point P(0.6, −0.8) is on unit circle O. What is the value of θ, to the nearest degree?
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Answer:

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Answer: D

Step-by-step explanation:

it equals 15/12

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To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
Elan Coil [88]

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

x^2+bx

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

(b/2)^2

In the given equation, we have:

(x^2-8x)-10

The b term here is 8. Therefore:

(8/2)^2\\=(4)^2\\=16

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

(x^2-8x)-10\\=(x^2-8x+16)-10-16\\

The expression inside the parentheses is now a perfect square trinomial. Factor it:

=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26

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4 0
3 years ago
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So I kinda forgot how to do this *nervous laughter* um help​
natali 33 [55]

1) value of x =60

2) value of x = 3

Step-by-step explanation:

We need to use cross products to solve the proportions of x.

1.\,\, \frac{3}{5}= \frac{x}{100}

Solving:

\frac{3}{5}= \frac{x}{100}\\Cross\,\,multiply\,\,:\\5x=3*100\\5x=300\\x=\frac{300}{5}\\x=60

So, value of x =60

2.\,\,\frac{x}{8}=\frac{7.5}{20}

\frac{x}{8}=\frac{7.5}{20} \\20x=7.5*8\\20x=60\\x=\frac{60}{20}\\ x=3

So, value of x = 3

Keywords: Ratio and Proportions

Learn more about Ratio and Proportions at:

  • brainly.com/question/8280736
  • brainly.com/question/10764770
  • brainly.com/question/13062539

#learnwithBrainly

7 0
3 years ago
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makkiz [27]

Answer:

The answer is the third equation. A = 250*(1 +0.016)^(0.75)

Step-by-step explanation:

Since Javier deposited $250 into an account with annual interest rate, then as the years passes his account will grow in the manner shown below:

account(0) = 250

account(1) = account(0)*(1 + 1.6/100) = account(0)*(1 + 0.016) = account(0)*1.016

account(2) = account(1)*1.016 = account(0)*1.016*1.016 = account(0)*(1.016)²

account(3) = account(2)*1.016 = account(0)*(1.016)²*1.016 = account(0)*(1.016)³

account(n) = account(0)*(1.016)^n

Where n is the number of years, account(0) is the initial amount. In this case only 9 months have passed, so we need to convert this value to years, dividing it by 12, which is 9/12 = 0.75. The initial amount was 250, so the equation is:

A = 250*(1.016)^(0.75)

The answer is the third equation.

7 0
3 years ago
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