Suppose an airplane is flying 180 mph with a heading 25° east of south (295° measured counterclockwise from due east) when it encounters a 35 mph wind blowing steadily in a direction 15° north of east (15° measured counterclockwise from due east). Use →v to represent the speed vector of the airplane and →w to represent the speed vector of the wind. Start by drawing a head-to-tail configuration for →v and →w and the resultant vector →v+→w.

Write both →v and →w in component form. (Your answers should be in the form "< #, # >".)

→v=

→w=

Write the resultant vector →v+→w in component form.
→v+→w=

Now, write the resultant vector →v+→w in polar form. (You do not need to enter a degree symbol in your answer.)
→v+→w=

Your answer to part (c) tells us that the plane is actually moving at _ mph in the direction_  ° counterclockwise of due east.
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g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )

52 \43 i don't know this i tried