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
True [87]
3 years ago
5

What changes would you make in your description of point, line, and plane?

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

Answer:

Here's a quick sketch of how to calculate the distance from a point P=(x1,y1,z1)

P

=

(

x

1

,

y

1

,

z

1

)

to a plane determined by normal vector N=(A,B,C)

N

=

(

A

,

B

,

C

)

and point Q=(x0,y0,z0)

Q

=

(

x

0

,

y

0

,

z

0

)

. The equation for the plane determined by N

N

and Q

Q

is A(x−x0)+B(y−y0)+C(z−z0)=0

A

(

x

−

x

0

)

+

B

(

y

−

y

0

)

+

C

(

z

−

z

0

)

=

0

, which we could write as Ax+By+Cz+D=0

A

x

+

B

y

+

C

z

+

D

=

0

, where D=−Ax0−By0−Cz0

D

=

−

A

x

0

−

B

y

0

−

C

z

0

.

This applet demonstrates the setup of the problem and the method we will use to derive a formula for the distance from the plane to the point P

P

.

Step-by-step explanation:

You might be interested in
If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L .
frozen [14]

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3)

m = \frac{3-0}{0+1} = 3

We are given the y- intercept, that is c = 3

y = 3x + 3 ← equation of line

7 0
3 years ago
Which expression does not belong with the other three? Explain your reasoning. 8 = x —2 3 = x ÷ 4 x − 6 = 5 x —3 = 9
Scorpion4ik [409]

Answer:

  • 3 = x ÷ 4

Step-by-step explanation:

<u>Given expressions:</u>

  • 8 = x - 2 ⇒ x = 8 + 2= 10
  • 3 = x ÷ 4  ⇒ x = 3*4 = 12
  • x - 6 = 5  ⇒ x = 5 + 6 = 11
  • x - 3 = 9  ⇒ x = 9 + 3 = 12

3 of them involves addition, one of them - multiplication

The second expression doesn't belong

4 0
3 years ago
1. Explain the rule to solve - 15 + 4. Then write you answer.
mestny [16]
1) the rule for #1 is is to subtract the small number from the big number so (15-4) (get rid of all the signs when doing this see how i took away the sign from 15) the answer is then 11 but you pit the sign of the bigger number since 15 is the bigger number and it has the negative sign you put the negative sign on 11 so the answer for 1 is -11

2) to solve -3*-5 you have to realize that they are both negative and the rule of multiplying negative integers is that a negative times a negative = a postive (weird but those are the rules) so -3*-5=15
4 0
3 years ago
1) A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip
Serhud [2]

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

Add my discord if you need more help Snapple#0141

6 0
3 years ago
Each week, Alfonso earns $85 for every shift he works at the theater and $15 for every dog-walking job. He uses the expression 8
sesenic [268]
So you didn't put an actual question. To find the money he makes you just plug in the numbers.
If he works 4 shifts at the theater you replace x with 4. Then, you find 85 x 4. You do the same thing with 15y.
8 0
3 years ago
Other questions:
  • Explain how to use the combine place value strategy to gind 223-119
    5·1 answer
  • Write the coordinates of the vertices after a reflection across the line y = 2.
    14·1 answer
  • Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay
    8·2 answers
  • Kimmy pays $120 to rent a room for her family get-together. To feed the family, she has to pay $9.25 per person. How much will K
    9·1 answer
  • A bag contains 1 white, 3 blue, and 2 red marbles
    14·1 answer
  • What is the value of f(x) = 3x - 5 when x = 6
    14·1 answer
  • Use a sum identity to find the exact value of cos 285.
    12·1 answer
  • A line has a gradient of -2<br> A line that is parallel to this will have a gradient of ...
    11·1 answer
  • Please help me.<br><br><br><br><br> =======
    8·2 answers
  • If it is 78F in Memphis and -14F in Juneau, what is the temperature difference between the two cities?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!