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3 years ago

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

1 answer:

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

You might be interested in

Solve the inequality r 4-2(r-14)>0

klasskru [66]

R^4-2(r-14)>0
r^4-2r+28>0
r^4-2r+28=0
There is no real solution but there is all real numbers
:)

4 0

2 years ago

If two events have probabilities which sum to 1, they are called _ _ _ _ _ _ _ _ _ _ _ _ _ events

Tom [10]

Answer:

An event with probability 0 never occurs. An event with probability 1 occurs on every trial

Step-by-step explanation:

3 0

3 years ago

An olympic sprinter can run 56 yards in 8 seconds. At the same rate, how long (in seconds) would it take the sprinter to run 81

aniked [119]

Answer:

20,365.7 seconds

Step-by-step explanation:

First, we need to know how to convert yards to miles, as the question is in miles. We know that 1 mile is equivalent to 1760 yards. So we have:

1 mi = 1760 yards

If we multiply both sides by 81:

81 mi = 142,560‬ yards

And we know that the sprinter needs 8 second to run 56 yards:

8 s = 56 yards

If we divide both sides by 56 we get the time he needs for 1 yard:

8/56 s = 56/56 yards

1/7 s = 1 yard

So, takes him 1/7 seconds to run one yard. At this rate he runs 142,560 yards in:

(1/7) * 142,560 = 20,365.7

So, he needs 20,365.7 seconds to run 81 miles (142,560 yards)

6 0

3 years ago

Anybody know the answers?

muminat

Answer:

1 adult = 16 students

a = 16x

Step-by-step explanation:

4 0

2 years ago

Convert the following:<br> 110110two to base ten<br> 25ten to base two<br>

blagie [28]

Answer:

110110 in base 2 when converted in base 10 will be equal to 54
25 in base 10 is equal to 1001 base 2

Step-by-step explanation:

Part 1: 110110two to base ten

For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2

$=1*2^5 + 1 * 2^4 + 0 * 2^3 + 1 *2^2 + 1* 2^1 + 0*2^0\\ =1*32+ 1* 16 + 0 + 1*4 + 1*2 +0\\ =32 + 16 +4 + 2\\ = 54$

So 110110two when converted in base 10 will be equal to 54

Part 2: 25ten to base two

For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:

25/2 = 12 remainder 1

12/2 = 6 remainder 0

6/2 = 3 remainder 0

3/2 = 1 remainder 1

Now the remainders will be written in inverse order as:

=1001 base 2

So 25 in base 10 is equal to 1001 base 2

I hope it will help you!

7 0

3 years ago