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Aliun [14]
3 years ago
11

Due: Today @11:59 (Need) Explanation 3-5 sentences of how you got the answer

Mathematics
1 answer:
kifflom [539]3 years ago
8 0

You can use the pythagorean theorem.

a^2+b^2=c^2

a=9

b=b

c=41

9^2+b^2=41^2

81+b^2=1681

b^2=1600

b=+/-40

but since this is a geometric scenario, answers will only lie in the positive real number set. That's why answer is +40 or C.

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I think it’s -0.75. The x coordinate represents the term number so y would show the pattern which is -3.75, -4.5, -5.25, -6, -6.75, -7.5, -8.25, -9. To get to the next number, each term is being decreased by 0.75. Hope this helps :)
3 0
3 years ago
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Correct answers only please!
Maksim231197 [3]

d is the answer

Step-by-step explanation:

all work is shown and pictured

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3 years ago
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All vectors are in Rn. Check the true statements below:
Oduvanchick [21]

Answer:

A), B) and D) are true

Step-by-step explanation:

A) We can prove it as follows:

Proy_{cv}y=\frac{(y\cdot cv)}{||cv||^2}cv=\frac{c(y\cdot v)}{c^2||v||^2}cv=\frac{(y\cdot v)}{||v||^2}v=Proy_{v}y

B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that ||Ax||=\sqrt{(A_1 x)^2+\cdots (A_n x)^2}. Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then ||Ax||=\sqrt{(x_1)^2+\cdots (x_n)^2}=||x||.

C) Consider S=\{(0,2),(2,0)\}\subseteq \mathbb{R}^2. This set is orthogonal because (0,2)\cdot(2,0)=0(2)+2(0)=0, but S is not orthonormal because the norm of (0,2) is 2≠1.

D) Let A be an orthogonal matrix in \mathbb{R}^n. Then the columns of A form an orthonormal set. We have that A^{-1}=A^t. To see this, note than the component b_{ij} of the product A^t A is the dot product of the i-th row of A^t and the jth row of A. But the i-th row of A^t is equal to the i-th column of A. If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then A^t A=I    

E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.

In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set \{u_1,u_2\cdots u_p\} and suppose that there are coefficients a_i such that a_1u_1+a_2u_2\cdots a_nu_n=0. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then a_i||u_i||=0 then a_i=0.  

5 0
4 years ago
Pleaseee Solve x? - 8x = 20 by completing the square. Which is the solution set of the equation?
gavmur [86]
The correct answer is A. -22,14
3 0
4 years ago
Umm I need a lot pf help here im lost
OleMash [197]

Answer:

51.39 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of base × height

Here area of base = 5.71 and height = 9, thus

V = 5.71 × 9 = 51.39 units³

7 0
3 years ago
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