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3 years ago

What is the average rate of change between x = 10 and x = 30

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

Answer:

everyone always asks "where's the toilet?" but no one ever asks "how's the toilet?" :'(

Step-by-step explanation:

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Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the t

mezya [45]

To find the height of the lighthouse, use $tan45= \frac{h}{14}$ to get that h = 14 (the tangent of 45 is 1). Now for the next question, you have to use the height you just solved for to find angle y. Use $tan(y)= \frac{14}{26}$ and the inverse tangent button on your calculator tells us that the angle is 28.3. Now for the last question, use the supplement of 45 to get that the angle adjacent to y is 135. 180 - 135 - 28.3 = 16.7 That's your x value.

6 0

3 years ago

Find the orthogonal complement W⊥ of W and give a basis for W⊥. W = x y z : x = 1 2 t, y = − 1 2 t, z = 6t.

igor_vitrenko [27]

Answer:

W⊥= (a, b, c)

a = v - (1/2)w

b = v

c = w

Basis for W⊥ = <(1,1,0),(-1/2,0,1)>

Step-by-step explanation:

The orthogonal complement of W is the set of vectors (a,b,c) that satisfy:

(x,y,z)·(a,b,c) = 0

ax + by + cz = 0

So, taking into account that x=12t, y=-12t and z=6t, the equation above is equal to:

12ta + -12tb + 6tc = 0

12a - 12b + 6c = 0

Then, if we made b=v and c=w and solve for a, we get:

12a - 12v + 6w = 0

a = (12v - 6w)/12

a = v - (1/2)w

Therefore, the orthogonal complement W⊥ of W has the form:

W⊥ = (a,b,c) = (v - (1/2)w, v, w)

On the other hand, we can write W⊥ as:

W⊥ = (v - (1/2)w, v, w)

W⊥ = (v,v,0) + ((-1/2)w,0,w)

W⊥ = v(1,1,0) + w(-1/2,0,1)

That means that we can write any vector of W⊥ as a linear combinations of the vectors (1,1,0) and (-1/2,0,1), so they are a basis for W⊥

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3 years ago

write an equation in point-slope form of the line that passes through the point (3, 5) and has a slope or -1

frez [133]

Answer:

y = -x + 8

Step-by-step explanation:

m = -1 ; x1 = 3 ; y1 = 5

Slope point form: y - y1 = m(x -x1)

y - 5 = -1(x - 3)

y - 5 = -1x - 3 *(-1)

y - 5 =-x + 3

y = -x + 3 + 5

y = -x + 8

3 0

3 years ago

What is equivalent to 6 exponent 8

charle [14.2K]

6^8 = 1679616 that is the answer sir

7 0

3 years ago

PLEASE HELP THIS IS DUE TODAY How do you use proportions to calculate missing dimensions in scale drawings?

Rashid [163]

Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet

Step-by-step explanation:

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3 years ago