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GaryK [48]
2 years ago
5

Find conditions on k that will make the following system of equations have a unique solution. To enter your answer, first select

whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas.
Then give a formula in terms of k for the solution to the system, when it exists. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k.

3kx+3y = 4
3x+3ky = 1

The system has a unique solution when k (equal or not equal) to ???

The unique solution is x =__________

y =__________

Mathematics
1 answer:
Julli [10]2 years ago
8 0

Answer:

K should not be equal to 1 or -1

Step-by-step explanation:

Check attachment for solution

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artcher [175]

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a) There is no significant difference between restaurants with and without order-confirmation boards

b) -12.5 ± 3.604 or C.1.E (-16.10, -8.90)

Step-by-step explanation:

answers are in the attachment below

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Use digits to write the value of the 4 in this number.<br><br> 842,963
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Step by step explanation:

8<u>4</u>2,963

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Quadrilateral WXYZ has vertices W(-4,-3), X(0,-1). Y(6,-2), Z(2,-4). Using properties of diagonals prove that WXYZ is a parallel
yanalaym [24]

Answer:

The diagonals are bisectors of each other and meet at  (1, -5/2) but are not congruent, so WXYZ is a parallelogram and not a rectangle

Step-by-step explanation:

for parallelograms.

the diagonals intersect at the midpoints

W                             X

Z                             Y

Diagonals are  WY  and  XZ

WY :   (-4, -3) to  (6, -2)

midpoint is   [(-4 + 6)/2  ,  (-3 - 2)/2 ] = ( 1, -5/2 )

XZ :   (0, -1)  to  (2, -4)

midpoint is  [ (0 + 2)/2 ,  (-1 + -4)/2 ]  = (1, -5/2)

The diagonals are bisectors of eachother.

Next show that these diagonals are not congruent.

length of  WY  =  root (  (-4 - 6)^2  +  (-3 - (-2))^2 )

WY = root ( 100  +  1)

WY = root(101)

length of XZ  =  root (  (0 - 2)^2  +  ( -1 - -4)^2 )

XZ =  root (4  +  9) = root (13)

we see that  WY  is not equal to XZ

...

so  ..  quadrilateral WXYZ is a parallelogram but not a rectangle.

8 0
2 years ago
Lucia drew a net for the design of her art project. Which term best describes the three-
meriva

Answer:

Triangular Prism

Step-by-step explanation:

Given

The sketch in the attached diagram

Required

Determine the shape it represents

Analyzing the options 1 after the other

Triangular Prism:

This has 5 sides; 2 of which are triangles while the other are rectangles

Rectangular Prism

This, in other words represents a cuboid

Triangular Pyramid

This has 4 sides, all of which are triangles

Rectangular Pyramid

This has 5 sides; 4 of which are triangles while the last is a square of rectangle.

From the analysis above, the best option that answers the question is The Triangular Prism because it perfectly describes Lucia's drawing

8 0
2 years ago
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