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Vilka [71]
2 years ago
6

wo lines, R and M, are represented by the following equations: Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true ab

out the solution to the set of equations?
Mathematics
1 answer:
yanalaym [24]2 years ago
3 0
There is an infinite number of solutions being as they are the same line. You can tell this because the first is simply the second line divided by 2. 
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Say that a supplier claims they are 99% confident that their products will be in the interval of 50.02 to 50.38. You take sample
nydimaria [60]

Answer:

The supplier becomes less accurate than they otherwise would have tried to claim. A further explanation is below.

Step-by-step explanation:

According to the provider, this same width of that same confidence interval would be as follows:

= 50.38 - 50.02

= 0.36

Depending on the input observed, the width including its confidence interval would be as follows:

= 50.39 - 50.01

= 0.38

As even the width of that interval again for survey asserted > the width including its confidence interval according to the provider's statement, we could conclude that such is the appropriate reaction.

3 0
3 years ago
Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If
mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

                  x = −1 + t, y = −2 + t, z = −1 + t   .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

                 d2 = ( x2 , y2 , z2 )

                 x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

                 y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

                 z2 = c - ( z )  = -2 - ( -1 + t ) = -1 - t

                d2 = (  4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

                 d1 = ( x1 , y1 , z1 )

                 x1 = 1

                 y1 = 1

                 z1 = 1

                 d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

                 d1.d2 = 0

                 (  4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

                 (4 - t) + (3 - t) + (-1 - t) = 0

                  6 -3t = 0

                  t = 2  

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

                 xo ( t = 2) = - 1 + 2 = 1

                 yo ( t = 2) = - 2 + 2 = 0

                 zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

                 ( xo , yo , zo ) = ( 1 , 0 , 1 )

8 0
3 years ago
33 divide by 9537 plssss helpp me
klemol [59]

Answer:

1/289 or 0.03462749213

Step-by-step explanation:

33 / 9537

= 1/289 or 0.03462749213

4 0
2 years ago
Read 2 more answers
For each pair, determine whether it is a solution to 6x+7y=19
Gre4nikov [31]

Answer:

Step-by-step explanation:

(0, -3) not a solution

(2,1) solution

(3,-4) not a solution

(-5,7) solution

5 0
2 years ago
What is the value of (-3+3i)+(-2+3i)?<br><br> -5-6i<br> -5+6i<br> 5+6i<br> 5-6i
Luda [366]

Step-by-step explanation:

-3+3i-2+3i

-5+6i

Hope that helps you

8 0
2 years ago
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