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satela [25.4K]
3 years ago
14

Find the linear equation of the plane through the origin and the points (5,2,2) and (6,−1,1). equation:

Mathematics
1 answer:
Aleks [24]3 years ago
3 0
The cross of the position vectors is
.. [5, 2, 2] × [6, -1, 1] = [4, 7, -17] . . . . . the normal vector of the desired plane

Since the origin is a point in the plane, its equation can be written as
.. 4x +7y -17z = 0
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(WILL GIVE BRINALIST TO BEST ANWER) WHATS the measure of < 3
malfutka [58]

Answer:

∠3 = 60°

Step-by-step explanation:

Since g and h are parallel lines then

∠1 and ∠2 are same side interior angles and are supplementary, hence

4x + 36 +3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°

∠ 2 and ∠3 are alternate angles and congruent, hence

∠3 = 60°

8 0
2 years ago
If a bag contains 12 apples , 4 bananas , and 8 oranges , what part to whole ratio bananas to all fruit
marysya [2.9K]

Answer:

4 : 24 or 1 : 6

Step-by-step explanation:

There are 4 bananas and 24 fruits so we just make that a ratio of 4 : 24.

We can then simplify that ratio to 1 : 6.

7 0
2 years ago
Read 2 more answers
Which is the graph of the sequence defined by the function f(x + 1) = Three-fifthsf(x) when the first term in the sequence is 37
nadezda [96]

Answer: On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

Step-by-step explanation:

We have the relation:

f(x + 1) = (3/5)*f(x)

such that the first term is 375

Then:

f(1) = 375.

Using the above relation, we have that:

f(1 + 1) = f(2) = (3/5)*f(1) = (3/5)*375 = 225

Then we have the pair (2, 225)

The next term is:

f(2 + 1) = f(3) = (3/5)*f(2) = (3/5)*225 = 135

Then we have the pair (3, 135)

the next term is:

f(3 + 1) = f(4) = (3/5)*f(3) = (3/5)*135 = 81

Then we have the pair (3, 81)

Then the correct option is the first one; On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

9 0
2 years ago
Read 2 more answers
What is y+3=4(x-1) in Slope intercept form ?
mina [271]
Y+3=4(x-1)
Y+3=4x-4
-3 -3
Y=4x-7
3 0
3 years ago
A student is solving the problem x^2 + 10x+ ___ = 16 + ___ by the method of completing the square. What number should the studen
kvv77 [185]

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

5 0
3 years ago
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