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
inessss [21]
4 years ago
12

Find an equation of the plane.

Mathematics
1 answer:
ki77a [65]4 years ago
5 0

Answer: equation of the plane is 5x - y - z - 7 = 0  

same as ( 5x - y - z = 7 )

Step-by-step explanation:

Given data;

5x - y - z = 6

therefore vector of plane is n° = ( 5, -1, -1)

so equation will be

n°(x-x₀, y-y₀, z-z₀) = 0

( 5, -1, -1) (x-x₀, y-y₀, z-z₀) = 0

5(x- (1)) -1(y - (-1)) -1(z - (-1)) = 0

5x - 5 - y - 1 - z - 1 = 0

5x - y - z - 7 = 0

Therefore equation of the plane is 5x - y - z - 7 = 0  

same as ( 5x - y - z = 7 )

You might be interested in
There are 50 read beans and 50 white beans in a bag . The first bean selected is red . The red bean is returned to the bag . Wha
andrew11 [14]

Answer:

50% as there is 100 beans all together

4 0
3 years ago
The multiplication law is potentially helpful when we are interested in computing the probability of a. mutually exclusive event
Korvikt [17]

Answer:

b )  the intersection of two events

Step-by-step explanation:

Gary and Steve are both hosting . There are 50 buttons total, 15 buttons are blue and 27 buttons are red. Gary puts all of the buttons into a bag. Steve and Gary both want to wear red buttons.What is the probability ? To solve this problem, you need to understand the Multiplication Rule of Probability.This probability  means to find the probability of the intersection of two events, multiply the two probabilities.

Probability of two events occurring that is called intersection of two events. There are two different set of events , called independent and dependent events.

Independent events  event is not affected by a previous event.

A dependent event is when one event influences the outcome of another event . To find the intersection of two events, whether they are independent or dependent, multiply the two probabilities together.

3 0
4 years ago
The coordinates of three of the vertices of parallelogram ABCD are A(1, 0), B(2, 3), C(3, 2). What are coordinates of the fourth
nalin [4]

Answer:

 A) The coordinates of the fourth vertex are:

1) x-coordinate:

x=2

2) y-coordinate:

y=-1

B) The point of intersection of the diagonals is:  (2,1)

Step-by-step explanation:

We need to remember that the diagonals of a parallelogram intersect each other at a half-way point and the midpoint of each diagonal is the same.

The midpoint formula is:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Since:

M_{AC}=M_{BD}

We can find the coordinates of the fourth vertex D(x,y) through these procedure:

1) x-coordinate:

\frac{1+3}{2}=\frac{2+x}{2}\\\\2(2)=x\\\\4-2=x\\\\x=2

2) y-coordinate:

\frac{0+2}{2}=\frac{3+y}{2}\\\\1(2)-3=y\\\\y=-1

Therefore,  fourth vertex is D(2,-1)

Since the point of intersection of the diagonals is the midpoint of a diagonal (Remember that  M_{AC}=M_{BD}), this is:

M_{AC}=M_{BD}=(\frac{1+3}{2},\frac{0+2}{2})\\\\M_{AC}=M_{BD}=(2,1)

Therefore, the point of intersection of the diagonals is (2,1)

7 0
4 years ago
Fido wants to buy a new car. He will need to get a car loan. Fido decides to wait for a few months until his credit history
Marta_Voda [28]

Answer:

Fido's decision is sensible because the cost of the car loan should be less this credit history improves

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I Need Help ASAP! plz
tigry1 [53]

Answer:

899 ounces

Step-by-step explanation:

hope this helps :)

5 0
3 years ago
Other questions:
  • 60 POINTS PLZ ANSWER PLZ HELP
    6·2 answers
  • An architectural drawing lists the scale as 1/4 = 1. If a bedroom measures 3 1/2 by 5 1/4 on the drawing, how large is the bedro
    5·2 answers
  • A rectangle has a perimeter of 48 ft. The length and width are scaled by a factor 1.5.
    7·1 answer
  • Which of the sets of ordered pairs represents a function?
    9·1 answer
  • [I NEED ANSWER ASAP] What is the median quiz score
    12·2 answers
  • A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under
    8·1 answer
  • Find the area. Simplify your answer.<br> 3x<br> 7
    12·1 answer
  • Calculate the value of x​
    15·2 answers
  • Helpppppp PLEASEEE GIVING BRAINLIEST
    5·1 answer
  • What is 20% of 160?<br> A. 8<br> B. 32<br> C. 80<br> D. 320
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!