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Juli2301 [7.4K]
3 years ago
12

Which is equivalent to 4 radical 9^1/2x

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer: 9 1/8x

Step-by-step explanation:

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Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
02119a rectangular pool is 7 feet wide. it is 3 Times as long as it is wide
marshall27 [118]
What are you looking for?? Area? Perimeter?
5 0
3 years ago
5 less than a number is -2. What is the<br> number? Write on<br> equation and solve.
bagirrra123 [75]

Answer:

3 - 5 = -2

Step-by-step explanation:

Cause 3 is lower than 5

And since 5 - 3 = 2

If it's the other way around it's a negative number

4 0
3 years ago
Read 2 more answers
Qual o valor de 2 3 -1 3 ?
ra1l [238]
El valor de 23-13 es 10
7 0
3 years ago
(08.05) What conclusion can be determined from the dot plot below?
sertanlavr [38]

Answer:

the answer is d the person above is wrong.

Step-by-step explanation of the wrong answers: b is wrong because it will be 3,3,3,3,3,3,3,4,4,4,5,5,5,6,6. A is wrong because 3 isn't in the middle. C is wrong because then 6-2 is 4. There's your explanation.

5 0
3 years ago
Read 2 more answers
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