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Vanyuwa [196]
3 years ago
6

(b) Find all 3-tuples (a,b,c) satisfying

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

We have a three unknown, 4 equation homogeneous system.  These always have at least (0,0,0) as a solution.  Let's write the equations, one column at a time.

1a + 0b + 0c = 0

-1a + 1b +0c = 0

0a - 1b + c = 0

0a + 0b + -1 c = 0

We could do row reduction but these are easy enough not to bother.

Equation 1 says

a = 0

Equation 4 says

c = 0

Substituting in the two remaining,

-1(0) + 1b + 0c = 0

b = 0

0(0) - 1b + 0 = 0

b = 0

The only 3-tuple satisfying the vector equation is (a,b,c)=(0,0,0)

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- If MML = (11x - 5), mJK = (4x + 26)° and mZMNL = (10x – 12),<br><br><br><br> find mZMNL.
GenaCL600 [577]

Answer:

m∠ MNL = 78º

Step-by-step explanation:

<u>Arcs meassures </u>

mML = (11x - 5)º

mJK = (4x + 26)°

<u>Angle meassure</u>

m∠MNL = (10 x – 12)º

______________________

angle measure = average of arcs

m∠MNL  = (mML+ mJK)/2

Replacing

(10x – 12)º =  ((11x - 5)º + (4x + 26)° )/ 2

10x -12 =  (15x + 21 )/2

10x - 7.5x = 10.5 + 12

2.5x = 22.5

x= 9

m∠MNL = (10 x – 12)º

             = 90 - 12

             = 78º

3 0
3 years ago
Can someone help me understand how to create 3 proofs
Katarina [22]

Step-by-step explanation:

If I'm understanding what a "proof" means, some answers could be:

2 + 3 = 5

4 + 15 = 19

8 + 21 = 29

Hope this helps you! Have a good night!


7 0
3 years ago
PLEASE HELP! TWO PROBLEMS!!
MrRissso [65]

1) x=−2 2) y=−6 Hopefully that helps you ❤.

6 0
3 years ago
For a class experiment, Danny's class weighed a log before and after subjecting it to termites. Before subjecting it to termites
m_a_m_a [10]

Answer:

4.75 pounds

Step-by-step explanation:

Before the termites: 5 pounds

After the termites: 1/4 of a pound

Amount that the termites took: x

5 - x = 1/4

Add x to both sides of the equation

5 = 1/4 + x

Subtract 1/4 from both sides of the equation

4 3/4 = x

4 3/4 = 4.75

The termites took 4.75 pounds from the log

Hope this helps :)

7 0
3 years ago
Graph y=8.5xy=8.5xy, equals, 8, point, 5, x.
Morgarella [4.7K]

Answer:

  • A, B, E

Step-by-step explanation:

<u>Given equation</u>

  • y = 8.5x

<u>Answer choices</u>

A. The equation represents a proportional relationship.

  • TRUE, it is in the form of y = kx

B. The unit rate of change of y with respect to x is 8.5

  • TRUE, y = mx + b, the slope m = 8.5 is the rate of change

C. The slope of the line is 2/17

  • False, the slope is 8.5

D. A change of 17 units in x results in a change of 2 units in y.

  • False, a change of x = 17 results in 17*8.5 = 144.5 units in y

E. A change of 4 units in x results in a change of 34 units in y.

  • TRUE, because 4*8.5 = 34
3 0
2 years ago
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