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
pav-90 [236]
3 years ago
8

Find an equation of the plane that passes through the points p, q, and r. ​ p(7, 2, 1), q(6, 3, 0), r(0, 0, 0)

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

x - 2y - 3z = 0

Step-by-step explanation:

The cross product of vectors rp and rq will give a vector that is normal to the plane:

... rp × rq = (-3, 6, 9)

Dividing this by -3 (to reduce it and make the x-coefficient positive) gives a normal vector to the plane of (1, -2, -3). Usint point r as a point on the plane, we find the constant in the formula to be zero. Hence, your equation can be written ...

... x -2y -3z = 0

You might be interested in
How did I get a 2 here (simplifying ratios)
PilotLPTM [1.2K]

Answer:

\frac{2x {}^{2} + 14x + 24 }{4 {x}^{2} + 4x - 48 }  =  \frac{x + 4}{2(x - 2)}

Step-by-step explanation:

Please see attached picture for full solution.

4 0
3 years ago
Carlos drives 2 times the hours that patricia does. carlos and patricia drive for a total of 9 hours. how long did each person d
suter [353]
Patricia drove for 3 hours. Carlos drove for twice that, 6 hours. 6+3=9
4 0
3 years ago
PLEASE HELP ME I NEED THIS RIGHT NOW
pav-90 [236]

Answer:

The answer is the second one

(-4, 0)


6 0
3 years ago
Read 2 more answers
Solve the System by Graphing:
Marat540 [252]

Answer:

  • B) One solution
  • The solution is  (2, -2)
  • The graph is below.

=========================================================

Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

--------

To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,

y = (-3/2)x+1

y = (-3/2)*0+1

y = 1

The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.

7 0
2 years ago
You are making a new type of deodorant from two different mixtures the first mixture is 30% smell proof and the second mixture i
Readme [11.4K]

Answer:

600 L of 30% proof and 400 L of 80% proof is needed

Step-by-step explanation:

Let the amount of 30% smell proof be x while that of 80% smell proof is y

Then;

x + y = 1000 •••••(i)

Also;

30% of x + 80% of y = 50% of 1000

0.3x + 0.8y = 500 •••••(ii)

From i, x = 1000 - y

Put this into ii

0.3(1000-y) + 0.8y = 500

300 - 0.3y + 0.8y = 500

0.5y = 500-300

0.5y = 200

y = 200/0.5

y = 400 L

But x = 1000 - y

x = 1000 - 400 = 600 L

3 0
3 years ago
Other questions:
  • Bob works at a construction company. He has an equally likely chance to be assigned
    7·1 answer
  • On Monday, Luis picked up seven scones and four large coffees for the office staff. he paid $25.76. On Tuesday Rachel picked up
    13·2 answers
  • Three beads are placed on the vertices of an equilateral triangle of side d = 3.6 cm. The first bead of mass m1 = 130 g is place
    5·1 answer
  • A certain type of bird has a probability of 1/12 Harding a bird with white feather. If a bird lays 2 eggs, find the probability
    11·1 answer
  • Select all possible values for x that solve the equation x^2=800
    14·2 answers
  • Factorise<br>6d²e-3de²<br>​
    6·2 answers
  • What is the length of the hypotenuse?
    15·1 answer
  • Can someone please help? will give brainliest
    11·2 answers
  • Waht 6/9 dividede 4/7 plzzzzzzzzzzzzzz help
    11·1 answer
  • Express the product of (1/5x + 1) and (1/6x + 5/4) as a trinomial in simplest form
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!