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MissTica
2 years ago
15

WILL MARK BRAINLEST TO THE CORRECT ANSWER (55 POINTS!!!)

Mathematics
1 answer:
nikitadnepr [17]2 years ago
6 0

Answer:

y=20

Step-by-step explanation:

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Find an equation for the plane through the points p=(0,0,0), q=(0,1,0), and r=(1,2,3)
jek_recluse [69]
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


6 0
3 years ago
What is equivalent to 3^4/3^7
Misha Larkins [42]

i believe your answer will be 0.04 or 4/100

OR if you need an equivalent expression, that would be 81/2187

5 0
3 years ago
The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th
Fantom [35]

Answer:

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C

Step-by-step explanation:

To find:

∫6x^5(x^6-2)\,dx

Solution:

Method of substitution:

Let x^6-2=t

Differentiate both sides with respect to t

6x^5\,dx=dt

[use (x^n)'=nx^{n-1}]

So,

∫6x^5(x^6-2)\,dx = ∫ t\,dt = \frac{t^2}{2}+C_1 where C_1 is a variable.

(Use ∫t^n\,dt=\frac{t^{n+1} }{n+1} )

Put t=x^6-2

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1

Use (a-b)^2=a^2+b^2-2ab

So,

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C

where C=2+C_1

Without using substitution:

∫6x^5(x^6-2)\,dx = ∫6x^{11}-12x^5\,dx = \frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C

So, same answer is obtained in both the cases.

7 0
2 years ago
Baby Victor wants to arrange 7 blocks in a row?How many different arrangements can the baby make?
yuradex [85]

Answer:

there are 5040 arrangements.

Step-by-step explanation:

i hope this works

8 0
3 years ago
Thích of the following is a COMPLETE list of all possible Rat<br> f(x) = 2x3 + 5x2 - 9x + 5
Korvikt [17]

Answer:

1.  Reduce  3x2-6x-240   to    x^2 - 2x - 80

2.  Use " ^ " to indicate exponentiation

3.  Factor  x^2 - 2x - 80 using completing the

    x^2 - 2x + 1^2 - 1^2 - 80

        (x+1)^2 - 1  - 80

         (x+1)^2 - 81

         (x+1)^2 - 9^2  = (x+1-9)(x+1 +9), or (x-8)(x+10)

Final answer, with all factors shown:      3(x-8)(x+10)

Step-by-step explanation:

3 0
3 years ago
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