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SpyIntel [72]
4 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]4 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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Juan's monthly income is $3,600. Find his
Alla [95]

(b) The monthly savings of Juan is $200.

(a) The monthly saving of Juan is $900.

(c) The monthly saving of Juan is $3,600.

As we know that

Savings = Income - expenses

So based on the above formula, the monthly savings in each case is as follows:

(b)

Monthly saving is

= $3,600 - $3,400

= $200

(a)

Monthly saving is

= $3,600 - $2,500

= $900

(c)

Monthly saving is

= $3,600 - $0

= $3,600

Here we assume the x be zero.

Therefore we can conclude that

(b) The monthly savings of Juan is $200.

(a) The monthly saving of Juan is $900.

(c) The monthly saving of Juan is $3,600.

Learn more: brainly.com/question/18051939

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3 years ago
(d) The total cost after tax to repair Tarique’s phone is represented by the expression 0.09(75h) + 75h, where h represents the
AfilCa [17]
Hello! I can help you!
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3 years ago
Which of the following have both 2 and -5 as solutions.
Stella [2.4K]
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4 years ago
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James flips a fair numbered cube with faces numbered 1-6 and flips a quarter what is the probability that in one turn James coul
Whitepunk [10]

Answer:

Therefore the probability that in one turn James could roll an odd number and fip a heads on the quarter is  = \frac{1}{2} × \frac{1}{2} = \frac{1}{4}.

Step-by-step explanation:

i) There are three odd numbered faces on the cube, that is the faces having 1, 3, and 5.

Therefore the probability of rolling an odd numbered face is = \frac{1}{6} +  \frac{1}{6} + \frac{1}{6}  = \frac{1}{2} since the probability of rolling 1 = probability of rolling 3 = probability of rolling 5 = \frac{1}{6}

ii) The probability of flipping a head on the quarter = probability of flipping a tail on the quarter = \frac{1}{2}

iii) Therefore the probability that in one turn James could roll an odd number and fip a heads on the quarter is  = \frac{1}{2} × \frac{1}{2} = \frac{1}{4}

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