1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elenna [48]
3 years ago
8

The three planes given meet at a point. The planes are 3x+y-2z = 11, 4x-2y+z = -5, x+5y-4z = 33. The intersection is at what poi

nt? (Please explain.)
Mathematics
1 answer:
Mumz [18]3 years ago
7 0

Answer:

(2, 7, 1)

Step-by-step explanation:

We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z

3x + y - 2z = 11

4x - 2y + z = -5

x + 5y - 4z = 33

We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.

We can add 2 times the second row to the first row and 4 times the second row to the third row to get

11x - 3y = 1

4x - 2y + z = -5

17x -3y = 13

We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then

11x - 3y = 1

4x - 2y + z = -5

6x = 12

From the third row, we can gather that x= 2. We can then plug that into the first row to get

22 -3y = 1

subtract 22 from both sides

-3y = -21

divide both sides by -3

y = 7

We can then plug our x and y values into the second row to get

4(2) - 2(7) + z = -5

8 - 14 + z = -5

-6 + z = -5

add 6 to both sides

z = 1

Our answer is thus (2, 7, 1)

You might be interested in
What is the square root of -1?
Dimas [21]

Answer:

there isn't an answer, you can't get the square root of negative numbers. the sqaure root of a negative number does not exist in the set of Real Numbers

4 0
2 years ago
X+y=2 2x^2+xy+1 Plz answer
iren2701 [21]

Answer:

answer is y^2-6y+9

Step-by-step explanation:

first take out the value of x from equation 1 which is x=(2-y)

then put the value of x in equation 2 u will get ur answer as y^2-6y+9

6 0
3 years ago
What is the GCF of 12m + 3mx?
zhenek [66]

Answer:

3m

Step-by-step explanation:

You can check

3m(4+x)

12m+3mx

see

and its gcf because inside () has no common factors

6 0
3 years ago
Read 2 more answers
Toa has 4 dimes a 12 nickels.Gail has 2 dimes and 3 nickels. What would be the ratio of dimes to nickels if they put these toget
Free_Kalibri [48]

Answer:

2 : 5

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

We are to determine the ratio of dimes to nickels

total sum of nickels = 3 + 12 = 15

total sum of dimes = 4 + 2 = 6

6 : 15

three can divide each of the numbers

2 : 5

4 0
3 years ago
Write four numbers that round to 700,000 when rounded to the nearest hundred thousand
Tanya [424]
690000
650000
670000
680000
6 0
3 years ago
Read 2 more answers
Other questions:
  • Which function transforms the graph of y=x^2 so that it is first shifted up 3 units and is then reflected across the x-axis?
    8·2 answers
  • 1. Name of transportation 2. Source of energy 3. How energy was converted 4. Disadvantages that were present
    11·1 answer
  • Which expression are equivalent to 2.5-4(1.5-10)+3 their are multiply answers
    14·1 answer
  • A moon is about 420000 miles away from it orbits.
    8·1 answer
  • F(x) = 4x^2 - 3x + 2kx + 1 
    10·1 answer
  • I need help with solving this equation
    6·1 answer
  • Solve for the value of r. (8r+6)° (9r-7)​
    13·1 answer
  • Please help me <br> (both images are together)
    11·2 answers
  • A baseball team played 32 games and lost 8. Katy was the catcher in of the winning games and of the losing games. In how many ga
    10·1 answer
  • I need help answering number 14
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!