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
SpyIntel [72]
2 years ago
8

Find the vector and parametric equations for the line through the point P(0, 0, 5) and orthogonal to the plane −1x+3y−3z=1. Vect

or Form: r
Mathematics
1 answer:
yulyashka [42]2 years ago
4 0

Answer:

Note that orthogonal to the plane means perpendicular to the plane.

Step-by-step explanation:

-1x+3y-3z=1 can also be written as -1x+3y-3z=0

The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).

Let us find a point on this  line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively

Therefore, the vector equation is given as:

-1(x-0) + 3(y-0) + -3(z-5) = 0

-x + 3y + (-3z+15) = 0

-x + 3y -3z + 15 = 0

Multiply through by - to get a positive x coordinate to give

x - 3y + 3z - 15 = 0

You might be interested in
True or False, the following numbers are in order from greatest to least:<br> 11/10, 8/7,-2.34*
rjkz [21]

Answer:

fasle

Step-by-step explanation:

6 0
3 years ago
What is the y intercept, and what does it represent?
motikmotik
In the linear equation y = mx + b, y-intercept represents the value of y. It is the point where the line crosses the y-axis(vertical axis)

Finding the y-intercept is done by looking at which point in the graph crosses the y-axis. This point will always have an x-coordinate of zero(0).
4 0
3 years ago
Solve for x <br>x/4 ≥ -8<br>a) x≤-2<br>b)x≥-32<br>c)x≥-2<br>d)x≤-32​
Marianna [84]

Answer:

B

Just multiply by 4 to isolate x; because 4 isn't negative, u keep the sign the same.

4 0
3 years ago
Look at the graph shown<br> Which equation best represents the line?
Brilliant_brown [7]

y=\frac{11}{4}x +4 is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

x_1=0,y_1=-4,x_2=4, y_2=7

General form of equation of a line is y = mx + c

where m is the slope and c is the y-intercept of the line.

<em>y-intercept is the point which line crosses at y-axis.</em>

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{7-(-4)}{4-0}

$m=\frac{11}{4}

Equation of the line:

y = mx + c

y=\frac{11}{4}x +4

Hence y=\frac{11}{4}x +4 is the equation best represents the line.

5 0
3 years ago
What is the value of x?
Mrrafil [7]

Answer:

3

Step-by-step explanation:

Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.

The ratios we will create will be \frac{long}{short} =\frac{long}{short} where each long and short are corresponding sides from each triangle.

So write:

\frac{4}{x} =\frac{3}{2.25}

To solve, cross multiply numerator with denominator.

4(2.25) = 3(x)

9 = 3x

3 =x

5 0
3 years ago
Other questions:
  • If i clock out at 11:53 and i have 30 Minutes what time do i get in?
    7·2 answers
  • It took team Infinite Dimensions 2 hours to hike 4
    15·1 answer
  • 2+2355433455333338387463783837747383883773738
    11·2 answers
  • Can someone help me with these problems? Please!
    14·1 answer
  • Find the area of quadrilateral ABCD in each case.<br> HElp PLEase ASAP
    7·2 answers
  • CONDITIONAL: If 2x + 1 = 25, then x = 12. INVERSE: if 2x + 1 /=25, then x /= 12 is the inverse of the conditional false or true?
    5·1 answer
  • Angelica’s speed is 4 cm/minute, Monique’s speed is 3.5 cm/minute, and Courtney’s speed is 5.5 cm/minute. Which turtle will win
    14·2 answers
  • WILL MAKE BRAINLIEST! ANSWER AND ILY<br><br> what are the slopes of each line?
    11·2 answers
  • Who is the an employer?
    10·2 answers
  • Task E
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!