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Artist 52 [7]
3 years ago
10

I need a process (1) is the right answer Thx~

Mathematics
1 answer:
motikmotik3 years ago
8 0

Yes it is the right answer. Nice job.

The range is the set of possible y values of a function. All you need to do is list off the y coordinates of the points shown. The points on the graph are

(1,2), (5,1), (6,3), (2,5)

in no particular order.

The y coordinates of those points are: {2, 1, 3, 5} which sorts to {1,2,3,5}

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Find parametric equations for the line through the point (0, 3, 2) that is parallel to the plane x + y + z = 5 and perpendicular
kozerog [31]
Hello : 
let A(0,3,2) and (Δ) this line , v vector   parallel to (<span>Δ).
M</span>∈ (Δ) : vector (AM) = t v..... t ∈ R

1 )    (Δ)  parallel to the plane x + y + z = 5 : let  : n an vector <span>perpendicular 
to the plane : n </span>⊥ v   ....   n(1,1,1) so : n.v =0  means : n.vector (AM) = 0
(1)(x)+(1)(y-3)+(1)(z -2) =0      ( vector (AM) = ( x, y -3 , z-2 )
x+y+z - 5=0 ...(1)

2)  (Δ) perpendicular to the line (Δ') : x = 1+t  , y = 3 - t , z = 2t :
vector (u) ⊥ v     .... vector(u) parallel to (Δ')  and vector(u) = (1 , -1 ,1)
vector (u) ⊥ vector (AM) means : 
(1)(x)+(-1)(y-3)+(2)(z -2) =0
x - y+2z - 1 = 0 ...(2)
so the system : 
x+y+z - 5=0 ...(1)
x - y+2z - 1 = 0 ...(2)
 (1)+(2) :   2x+3z - 6 =0
x = 3 - (3/2)z
subsct in (1) :    3 - (3/2)z  +y +z - 5 =0
y = 1/2z +2
let : z=t     
an parametric equations for the line (Δ) is :  x = 3 - (3/2)t
                                                                      y = (1/2)t +2
                                                                      z=t

verifiy : 
1) (Δ)  parallel to the plane x + y + z = 5 : 
(-3/2 , 1/2 ,1) <span>perpendicular to (1,1,1)
</span>because : (1)(-3/2)+(1)(1/2)+(1)(1) = -1 +1 = 0
2) (Δ) perpendicular to the line (Δ') :
 (-3/2 , 1/2 ,1) perpendicular to (1,-1,2)
because : (1)(-3/2)+(-1)(1/2)+(1)(2) = -2 +2 = 0
A(0, 3, 2)∈(Δ) : 
0 = 3-(3/2)t
3 = (1/2)t+2
2 =t
same :  t = 2

3 0
3 years ago
What is -11-8-13(-10)? And how did you get you're answer
natita [175]
-11-8-13(-10)

First, multiply since multiplication goes before subtraction according to the order of operations.

-11-8+130

Then add and subtract from left to right.

-11-8= -19
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Final answer: 111
4 0
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If you score higher than 90% on the test, you'll get an A. If you get an A, you can celebrate.
Stels [109]

Answer:

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Step-by-step explanation:

The hypothesis for the first conditional is met, so we can assume the conclusion is true: you'll get an A.

That conclusion satisfies the hypothesis of the second conditional, so we can assume its conclusion is true: you can celebrate.

Taken together, we can assume ...

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7 0
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Lunna [17]

Answer:

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answer-  (12 divide 3) -1

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answer- There are many answers for this and this is one of them:

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4 0
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A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 998.25 cubic fe
AlladinOne [14]

Answer:

the room dimensions that result in a minimum cost for the paint is;

x = 11 ft

y = 11 ft

z = 8.25 ft

Step-by-step explanation:

Shown in the attachment;

6 0
3 years ago
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