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
dezoksy [38]
3 years ago
12

Find the vector equation for the line of intersection of the planes 5x+3y−2z=−45x+3y−2z=−4 and 5x+5z=0

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

5x+5z=0\implies x+z=0\implies z=-x


5x+3y-2z=7x+3y-2x-2z=7x+3y-2=-4\implies7x+3y=-2


Letting x=t and z=-t, we have


7t+3y=-2\implies y=-\dfrac73t-\dfrac23


so the intersection is given by


\mathbf r(t)=\left(t,-\dfrac73t-\dfrac23,-t\right)

You might be interested in
Can anyone help me in Ptolemy's theorem?
GalinKa [24]

Answer:

Well, I'm not sure what you mean but Ptolemy's Theorem gives a relationship between the side lengths and the diagonals of a cyclic quadrilateral; it is the equality case of Ptolemy's Inequality. Ptolemy's Theorem frequently shows up as an intermediate step in problems involving inscribed figures.

8 0
3 years ago
A document that is 35 in. By 40 in. Is redrawn at 1 1/2 scale and then redrawn at 1/4 scale. What are the final dimensions of th
Andru [333]
The dimension of the document is 35 inches by 40 inches.
It is redrawn at a scale of 1 1/2 or 3/2 or 1.5
The dimension will be:
35 * 1.5 = 52.5 in
40 * 1.5 = 60 in

Then redrawn again at 1/4 or 0.25
52.5 * 0.25 = 13.125 in
60 * 0.25 = 15 in

So the final dimensions of the drawing is 13.125 in by 15 in



5 0
3 years ago
Solve the given system of equations.<br> - 3a = 36<br> 10a + 3c = 9<br> 2b + 50 = 23
Elodia [21]

Answer:

Solve using the substitution method! Answer down below:)

Step-by-step explanation:

(a,b,c) = ( -12, -27/2,43)

Hope it helps:)

5 0
3 years ago
Each day jake donates money to the global hunger initiative according to how many lunch specials he sells. What is the constant
Vaselesa [24]

Since it's y/x, and x is what you input into the function (and y is what you get out), we get that the amount donated is based off of the lunch specials, so we get y(12)/x(60)=12/60=1/5Since it's y/x, and x is what you input into the function (and y is what you get out), we get that the amount donated is based off of the lunch specials, so we get y(12)/x(60)=12/60=1/5.

3 0
3 years ago
Can u guys please do the congruent question d
Lynna [10]

Answer:

SAS postulate , since an angles is equal in both triangles plus the diagonals are divided equally means that's equal in both of the triangles

6 0
3 years ago
Other questions:
  • EASY TRIG - 15 POINTS
    10·1 answer
  • 6) Find the surface area of the square pyramid.<br>8 cm<br>5 cm<br>​
    15·1 answer
  • una persona de 1.75m de estatura observa un avion como se muestra en la figura, a que altura aproximada con respecto al suelo se
    7·1 answer
  • Jeff puts no more than 10% of every paycheck into savings. This month he earned $540. Which of the following statement is true?
    9·2 answers
  • Select all TRUE statements that apply. Line y and line z intersect and create four right angles.
    12·1 answer
  • Using the chart "Amount of $1 at Compound Interest" from previous reading section "More Compound Interest", find the total amoun
    10·1 answer
  • The average rate of change of a function between x = a to x = b is f(b) - f(a) / (b - a). Now use this formula to find the rate
    15·1 answer
  • Y = –x + 4 in standard form
    12·1 answer
  • Find the discriminant of X^2+ 4x - 3 = 0
    13·1 answer
  • What are the reasons?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!