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SpyIntel [72]
3 years ago
10

Find an equation for the plane through the points p=(0,0,0), q=(0,1,0), and r=(1,2,3)

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0
Hello,

Assume Ax+By+Cz+D=0 the plane 's equation.

p=(0,0,0)==>A*0+B*0+C*0+D=0==>D=0

q=(0,1,0)==>A*0+B*1+C*0+0=0==>B=0

r=(1,2,3)==>A*1+0*2+C*3+0=0==>A=-3C
Let C=1==>A=-3

An equation of the plane is -3x+z=0


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What is the value of 3-6(z-2) if z=-2
krek1111 [17]

Answer:

27

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

3 - 6(z - 2)

z = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>z</em>:                   3 - 6(-2 - 2)
  2. (Parenthesis) Subtract:      3 - 6(-4)
  3. Multiply:                              3 + 24
  4. Add:                                    27
6 0
2 years ago
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Homework help please I'll give you 10 points and brainliest
DaniilM [7]

Answer:

c)

Step-by-step explanation:

Use 49 instead of 14 for 7²

Reason: 7² = 7 * 7 = 49

Not 14 as 7*2 = 14

6 0
2 years ago
6 (r - 4) + r + 30 - 7r
GrogVix [38]
6r-24+r+30-7r (the we divide the regular numbers on one side and the others on the other side)Like this:
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8 0
3 years ago
A line includes the points (10,-5) and (-10,-1). What is the equation in slope intercept form?
Elodia [21]

\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{-10-10}\implies \cfrac{-1+5}{-20}\implies \cfrac{4}{-20}\implies -\cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=-\cfrac{1}{5}(x-10) \\\\\\ y+5=-\cfrac{1}{5}x+2\implies y=-\cfrac{1}{5}x-3

8 0
3 years ago
The function f(x) is defined as follows:
Leno4ka [110]

Answer:

f(-3)=-8\\f(2)=4

Step-by-step explanation:

In order to find the values of a piecewise function, we first have to determine which piece we are using.

For f(-3), x=-3. This means that we need to use 3x+1 as -3\leq 0

f(-3)=3(-3)+1\\\\f(-3)=-9+1\\\\f(-3)=-8

For f(2), x=2. This means that we need to use f(x)=4 as x is equal to 2.

f(x)=4

6 0
3 years ago
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