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Luden [163]
3 years ago
14

Solve the following system of equations using Gaussian elimination method. If there are no solutions, type "N" for both xx, yy a

nd zz. If there are infinitely many solutions, type "z" for zz, and expressions in terms of zz for xx and yy.-5x-7y-4z=-66x+2y+3z=-2-1x+2y-7z=0
Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

x=-224/229,

y=296/229,

z=118/229

Step-by-step explanation:

-5x-7y-4z=-6

6x+2y+3z=-2

-x+2y-7z=0...........( multiple with (-5) and sum with 1st equation, mult with 6 and                    sum with 2nd equation)

______________

-x+2y-7z=0

-17y+31z=-6.....(mult with 14)

14y-39z=-2.....(mult with -17) then sum

___________

-x+2y-7z=0

-229z=-118, so here we have z=118/229.

14y-39*(118/229)=-2, from here we have y=296/229

-x+2*(296/229)-7*(118/229)=0, we get that x=-234/229

In the same way you can do this in the matrix form>>

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Skew lines a and b represent Donna's and Charlie's paths as they simultaneously walk on the first and second level of a shopping
vlabodo [156]

Answer: They cannot meet because two skew lines do not intersect each other.


Explanation:


Skew lines is a concept used in geometry to define lines that do not intersect each other but are not parallel.


In this case, the lines are not parallel because they lie in different planes, which in turn, do not intersect each other.


Therefore, runing the lnes in different planes and in different directions, they cannot not, in spite of not being parallel, intersect each other, which is called that the lines are skewed.


Donna's and Charlie's paths are an exelent illustration of what skew lines are: since Donna's and Charlie are in different levels, as long as each remains in parallel levels, their paths wiil not meet each other.


8 0
2 years ago
A pole is 3.4 m tall casts a shadow that is 1.8 m long. At the same time, a nearby tower casts a shadow that is 39.75 m long. Ho
KATRIN_1 [288]

Answer:

75

Step-by-step explanation:

For this, you need to solve a proportion-

3.4      x

----- = -----

1.8      39.75

3.4*39.75=135.15

135.15/1.8= 75.0833.....

75.0833.. is rounded to 75

7 0
3 years ago
If anyone is good in Pythagoras theoram please help me
Yanka [14]

Answer:

a^2+B^2=c^2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
(x^2 + x - 17) + (x − 4) divide using polynomial long division
Effectus [21]

Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)

Step-by-step explanation: See attachment

6 0
2 years ago
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