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2 years ago

Solve this formula for the velocity for (d) Show your work

Mathematics

1 answer:

Vinvika [58]2 years ago

7 0

Answer:

d = vt

Step-by-step explanation:

Step 1: Write equation

v = d/t

Step 2: Multiply both sides by t

vt = d

Step 3: Rewrite

d = vt

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Let T: set of real numbers R Superscript nℝnright arrow→set of real numbers R Superscript mℝm be a linear transformation, and

Klio2033 [76]

Answer:

$\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent set.

Step-by-step explanation:

Given: $\{v_1,v_2,v_3\}$ is a linearly dependent set in set of real numbers R

To show: the set $\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent.

Solution:

If $\{v_1,v_2,v_3,...,v_n\}$ is a set of linearly dependent vectors then there exists atleast one $k_i:i=1,2,3,...,n$ such that $k_1v_1+k_2v_2+k_3v_3+...+k_nv_n=0$

Consider $k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0$

A linear transformation T: U→V satisfies the following properties:

1. $T(u_1+u_2)=T(u_1)+T(u_2)$

2. $T(au)=aT(u)$

Here, $u,u_1,u_2$ ∈ U

As T is a linear transformation,

$k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0\\T(k_1v_1)+T(k_2v_2)+T(k_3v_3)=0\\T(k_1v_1+k_2v_2+k_3v_3)=0\\$

As $\{v_1,v_2,v_3\}$ is a linearly dependent set,

$k_1v_1+k_2v_2+k_3v_3=0$ for some $k_i\neq 0:i=1,2,3$

So, for some $k_i\neq 0:i=1,2,3$

$k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0$

Therefore, set $\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent.

6 0

3 years ago

The figure below shows triangle XYZ and some of its transformed images on a coordinate grid: Which of the four triangles was for

schepotkina [342]

Answer:

Pretty sure it’s C

Hope this helped!

~Mia

3 0

2 years ago

Read 2 more answers

A perfect square is a number that has integer square root

Fiesta28 [93]

tr it and it wil; he;p

6 0

2 years ago

Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 poin

alekssr [168]

Answer:

<em>The two figures are similar as the ratio of corresponding distances and slope of corresponding lines are EQUAL.</em>

Step-by-step explanation:

Noting the coordinates of points,

C(-1,6), D(3,4) , E(2,3) , F(3,0), G(1,-2) , A(0,1) , B(-2,2)

J(4.5,3.5), K(6.5,2.5), L(6,2), M(6.5,0.5) , N(5.5,-0.5) , H(5,1) , I(4,1.5)

using the distance formula = $\sqrt{(x-x1)^{2} + (y-y1)^{2} }$

we find that,

CD= $\sqrt{20}$ and JK= $\sqrt{5}$

thus, ratio of CD to JK is 2.

Similarly find ratio of DE to KL and so on, the ratio remains same.

Further one can even comment on the slopes of corresponding lines been equal.

Thus the figures turn out to be similiar to each other

7 0

3 years ago

What is the answer to 2x to the power of 2 +x +1=0

KonstantinChe [14]

Answer:

x=-1

Step-by-step explanation:

x+1=0(squared).

x+1=0 (anything raise to the power 0 is 0

collect like terms =x=-1

therefore x=-1

4 0

2 years ago