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BabaBlast [244]
2 years ago
13

BRAINLIEST TO WHOEVER ANSWERS QUICKEST AND IS RIGHT.

Mathematics
1 answer:
Anit [1.1K]2 years ago
8 0

anaalyze the problem

first term: -1

common difference: +9 (8-(-1) is 9)

so, an=-1+9n-9

answer is an=9n-10, with n bigger or equal to one

sixth term,plug in 9(6)-10=54-10=44

tenth term, plug in 9(10)-10=90-10=80

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6 0
3 years ago
Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}
11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0
3 years ago
Use the information given in the table on the right to complete each of the following statements.
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Step-by-step explanation:

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6 0
2 years ago
7: In the rhombus, m∠1=10x, m∠2=x + y, and m∠3= 5z. Find the values of x, y, and z.
malfutka [58]
Angles 1, 2, and 3 are all 90°.

10x = 90
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x +y = 90
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The values of (x, y, z) are (9, 81, 18).

7 0
3 years ago
In equilateral triangle RST, R has coordinates (0, 0) and T has coordinates of (2a, 0). Find the coordinates of S in terms of a.
FromTheMoon [43]
The x  coordinate of S will be 1/2 * 2a = a.
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so S  is (a , sqrt3a)
4 0
3 years ago
Read 2 more answers
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