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vazorg [7]
2 years ago
5

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((.

Mathematics
2 answers:
klasskru [66]2 years ago
8 0

Answer:

m=2, b=2

y=2x+2

The slope is positive, and the equation is proportional.

SashulF [63]2 years ago
5 0

Answer:

m = 2 b = -1

equation:  y = 2x -1

Proportional and a positive slope

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Suppose T is a transformation from ℝ2 to ℝ2. Find the matrix A that induces T if T is reflection over the line y=1/2x
trapecia [35]

Answer:

A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]

Step-by-step explanation:

We have to see how the canonical vectors are transformed throught T. Lets first define T in any basis.

Since T is a reflection, then any element of the line y = x/2 if fixed by T. Therefore T(2,1) = (2,1).

On the other hand, any vector perpendicular to the line direction should be sent to its opposite value. We can take, for example, (-1,2) (note that the scalar product (2,1) * (-1,2) = -2+2 = 0). As a consecuence T(-1,2) = (1,-2). We have

  • T(2,1) = (2,1)
  • T(-1,2) = (1,-2)

By summing the first vector with the double of the second one we get, using linearity

T(0,5) = T( (2,1) + 2(-1,2)) = T(2,1) + 2T(-1,2) = (2,1) + 2(1,-2) = (4,-3)

Hence, T(0,1) = (4/5,-3/5)

Now, we take the second vector and substract it the double of the first one (to kill the second variable)

T(-3,0) = T( (-1,2) - 2*(2,1) ) = T(-1,2) -2T(2,1) = (1,-2)-2(2,1) = (-3,-4)

Therefore, T(1,0) = (1,4/3)

The matrix A induced by  T has in its first column T(1,0) and in its second column T(0,1). We conclude that

A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]

3 0
3 years ago
Please help need answer
Len [333]

Answer:

B

Step-by-step explanation:

When there is only rotation and reflection, there is no change in size. A change in size occurs when there is dilation.

7 0
3 years ago
A kg of aluminum earns a collector $2.50 at the recycling center. If I collect 14 kg. Of aluminum cans, how much money will I ea
saul85 [17]

Answer:

$ 35

Step-by-step explanation:

\frac{1}{14}  =  \frac{2.5}{x}

x = 14 \times 2.5 \\  \\ x = 35

8 0
3 years ago
Read 2 more answers
Help me with these math questions........ WITH SCREENIES
Nutka1998 [239]

Answer: 6.3093

<u>Step-by-step explanation:</u>

3^{\frac{x}{5}} = 4

ln3^{\frac{x}{5}} = ln4

\frac{x}{5} ln3 = ln4

xln3 = 5ln4

x = \frac{5ln4}{ln3}

x = 6.3093

************************************************************

Answer: 5, 3, \frac{1}{5}, D

<u>Step-by-step explanation:</u>

a) x ≤ 0 so, f(-5) = | -5 | = 5

   x ≤ 0 so, f(-3) = | -3 | = 3

   x > 0 so, f(5) = \frac{1}{5}

b) graph D

************************************************************

Answer: \frac{\pi}{12}

<u>Step-by-step explanation:</u>

 \frac{25\pi}{12} - \frac{2\pi}{}

=  \frac{25\pi}{12} - \frac{24\pi}{12}

=  \frac{\pi}{12}

7 0
3 years ago
SomeonePLEASE help if u do ily:(
pav-90 [236]

Answer:

4

Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

C is the hyptonuse A and B are legs.

a^2+3^2=5^2

a^2+9=25

a^2=16

a= sqrt16

a=4

Hope this helps!

6 0
2 years ago
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