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Svetllana [295]
3 years ago
9

Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

A. x-2y=-12

Step-by-step explanation:

We have been given an equation of a line in point-slope form. We are asked to write our given equation in standard form.

y-3=\frac{1}{2}(x+6)

Since we know that standard form of equation is: ax+by=c, where, a, b and c are constants.

Let us multiply both sides of our given equation by 2.

(y-3)*2=2*\frac{1}{2}(x+6)

2y-6=x+6

Let us add 6 to both sides of our equation.

2y-6+6=x+6+6

2y=x+12

Let us subtract x from both sides of our equation.

2y-x=x-x+12

2y-x=12

Multiply both sides of our equation by -1.

-2y+x=-12

Rearranging our equation we will get,

x-2y=-12

Therefore, the standard form of our given equation is x-2y=-12 and option A is the correct choice.

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Carpetland salespersons average $8,000 per week in sales. Steve Contois, the firm’s vice president, proposes a compensation plan
olya-2409 [2.1K]

Answer with Step-by-step explanation:

Since we have given that

Average per week in sales = $8000

Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increase the average sales per salesperson

So, the appropriate null and alternate hypothesis would be

H_0:\mu=8000\\\\H_a:\mu>8000

b. What is the Type I error in this situation? What are the consequences of making this error?

Type 1 error are those errors in which null hypothesis are supposed to be rejected, but it does not get rejected.

It means sales per week is greater than $8000 but in actual it is not.

c. What is the Type II error in this situation? What are the consequences of making this error?

Type 2 are error are those errors in which null hypothesis are supposed to be accepted but it get rejected.

It means average sales per week is actually $8000 but it is calculated that average sales is less than $8000.

3 0
3 years ago
Select the correct answer.
Orlov [11]

Answer: C 28.47° latitude and -7.35° longitude

Step-by-step explanation:

6 0
2 years ago
Determine the approximate value of A.
bonufazy [111]

Answer:

40 degrees

Step-by-step explanation:

If all triangles add up to 180°, the 180-104-36=40, so the answer is 40°

4 0
3 years ago
Solve 3x^2 + 6x+15=0
Elden [556K]

Answer:

The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )

Step-by-step explanation:

Given equation as :

3 x² + 6 x +15 = 0

The value of x fro the quadratic equation a x² + b x + c = 0 is obtained as

x = \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

So , from given eq , the value of x is now obtain as

x = \frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

Or, x =  \frac{-6\pm \sqrt{6^{2}-4\times 3\times 15}}{2\times 3}

Or, x = \frac{\sqrt{-144} }{6}

∴   x = ( - 1 + 2 i ) , ( - 1 - 2 i )

Hence The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )  Answer

6 0
3 years ago
Area of paralellogram with base 15cm and height12cm
azamat

Answer:

180 cm2

Area of a polyhedron:

15(=base)x12(=height)

=180cm2

btw parallelogram is a 2D pic how you can come out a ''base'' and ''height''? It should be called a polyhedron. Your question is weird.

If so, your ''area of parallelogram'' is 15cm2 since your question is hecking  weird.

Btw it's 15cm2 not 15

Please check ur question b4 u ask

7 0
2 years ago
Read 2 more answers
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