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Sergio [31]
3 years ago
15

Is b perpendicular to a? Justify your answer.

Mathematics
1 answer:
wolverine [178]3 years ago
3 0

Set up the equation: 2x+37+3x+y=180 ⇒ 4x+y=143

2x+y+3y-21=180 ⇒2x+4y=201.

Solving for x and y, you get that y=37, thus making x=26.5


Now, for b to be perpendicular to a, 2x+37 must equal 90.

2*26.5+37=90, so b is perpendicular to a.


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Archy [21]

Using a calculator, inserting the values of x and y, the correlation coefficient for the given data-set is of -0.9422.

<h3>How to find the correlation coefficient of a data-set?</h3>

Using a calculator, the correlation coefficient is found inserting the ordered pairs (x,y) in the calculator.

In this problem, we have that:

  • The values of x are: 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5.
  • The values of y are: 112.5, 110.875, 106.8, 100.275, 91.3, 79.875, 70.083, 59.83, 30.65, 0.

Hence, using a calculator, the correlation coefficient is of -0.9422.

More can be learned about correlation coefficients at brainly.com/question/25815006

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8 0
2 years ago
Answer?......................
erica [24]

Answer:

22

Step-by-step explanation:

6( n^2 +2)

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Let n = 3

6( 3^2 +2)

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Parentheses first

6( 9 +2)

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6( 11)

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Top of the fraction next

66

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22

7 0
2 years ago
A 120 ft height post casts a shadow that is 150 ft long. What is the angle of elevation of the sun?​
NNADVOKAT [17]

I got this sis but thanks for trying

8 0
4 years ago
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Please help me answer
Fiesta28 [93]

1st and 2nd shows = 2,580 + 2,920 = 5,500

If average = 3000 so 3 shows must be 3 x 3000 = 9000

So 3rd show = 9,000 - 5,500 = 3,500

Answer

3,500

4 0
3 years ago
Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) =
kykrilka [37]

Answer:

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Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

P(x)=a(x-x1)(x-x2)...(x-xn)

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

P(x)=1(x-2i)(x-3i)

\mathbf{P(x)=(x-2i)(x-3i)}

8 0
3 years ago
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