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Kisachek [45]
3 years ago
10

A plane starts at the origin of the coordinate plane. The plane flies 0.5 units left and 3.5 units up to point X. What are the c

oordinates of point X?

Mathematics
2 answers:
Inessa [10]3 years ago
7 0
I believe the coordinates would simply be (0.5, 3.5)
Korolek [52]3 years ago
3 0

Answer:

Point X =(-0.5,3.5)

Step-by-step explanation:

We are given that A plane starts at the origin of the coordinate plane.

Thus the point X = (0,0)

Now we are given that The plane flies 0.5 units left

Thus x coordinate becomes -0.5

We are also given that point X , 3.5 units up

So, y coordinate become 3.5

So, Point X =(-0.5,3.5)

Refer the attached figure

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Divide (/) by 9: 60-15/9

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F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa
DerKrebs [107]

a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

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b/c. The line integral of \vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath over C is

\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt

=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt

=\displaystyle10\int_0^1\mathrm dt=\boxed{10}

d. Notice that we can write the line integral as

\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)

By Green's theorem, the line integral is equivalent to

\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy

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4 0
3 years ago
Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b
Veronika [31]

Answer:

  • 0.0374
  • 0.0010

Step-by-step explanation:

number of cards = 52

number of queen = 4

number of spades = 13

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position of success(x) = 10th

p = 4/52

P( x,r,p) = x-1Cr-1*p^(r) * q^(x-r)

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B) probability the twentieth card is a spade

x = 20

r = 1

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c)  The last five cards been spades

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4 0
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zhenek [66]

Answer:

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Step-by-step explanation:

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Y = 1(12)+3(0)/1+3

Y = 12/4

Y = 3

Hence the coordinate of P is at (7, 3)

7 0
3 years ago
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