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Sunny_sXe [5.5K]
3 years ago
7

PLSSS HELP MY TEST IS ALMOST OVER

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0
I think the answer is b
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MATRECIES: Suppose ={u,v,w}⊆R3 is linearly independent. Determine if the set 4 ={u, v, v−w, u+v+w} is linearly independent or li
AlladinOne [14]

The set is linearly dependent.

To explicitly prove this, we need to show there is at least one choice of constants c_1,c_2,c_3,c_3\in\Bbb R such that

c_1 u + c_2 v + c_3(v-w) + c_4(u+v+w) = 0

or equivalently,

(c_1 + c_4) u + (c_2 + c_3 + c_4) v + (-c_3 + c_4) w = 0

which is the same as solving the system of equations

\begin{cases} c_1 + c_4 = 0 \\ c_2 + c_3 + c_4 = 0 \\ -c_3 + c_4 = 0 \end{cases}

From the first and last equations, we have c_1=-c_4 and c_3=c_4. Substituting these into the second equation leaves us with c_2-2c_1=0, and so the overall solution set is

c_1 = \dfrac12 c_2 = -c_3 = -c_4

for which there are infinitely many not-all-zero solutions.

3 0
2 years ago
Cassie has 1/2 pound of sugar in her cabinet. Her cake calls for 2/10 of a pound of sugar. How many cakes can she make?
dmitriy555 [2]
1/2 is also 5/10 so she can make 2 cakes, but really its 2 and a half cakes but u cant make a half
8 0
4 years ago
Bert has 4 dogs and 5 cans of dog food.How much dog food does each dog get if Bert give each dog the same amount
Anettt [7]

Answer:

1.25 cans or 1 1/4

Step-by-step explanation:

5 divided by 4 = 1.25

5 0
3 years ago
Read 2 more answers
A guy wire makes a 65° angle with the ground. walking out 37 feet further from the tower, the angle of elevation to the top of t
kicyunya [14]

Let's call the height of the tower h and the distance from the 65 degree angle to the base of the tower d.

We get two equations:

\tan 65^\circ = \dfrac h d

\tan 39^\circ = \dfrac{h}{d+37}

h = d \tan 65^\circ = (d+37) \tan 39^\circ

d(\tan 65 - \tan 39) = 37 \tan 39

d = \dfrac{37 \tan 39}{\tan 65 - \tan 39}

h = d \tan 65 = \dfrac{37 \tan 39 \tan 65}{\tan 65 - \tan 39}

h \approx 48.1 \textrm{ feet}

Answer: 48

3 0
4 years ago
Please show work lol, also Brainliest goes out to the correct answer
Westkost [7]

Answer:

Answer below

Step-by-step explanation:

8 0
3 years ago
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