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ikadub [295]
2 years ago
10

Write an expression showing 4 less than the number j.

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

Answer:

j-4 is how you show 4 less than a number j

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Open Response Factor 12m + 5n. Explain<br> how you found your answer. (Lesson 4)
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Answer:

how are u hottie here's my pfp

Step-by-step explanation:

4 0
2 years ago
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
If an item is 30% off and 350 how much is the original price
alisha [4.7K]
1.50 is your price
100%
3 0
3 years ago
Pls help I have a test today in math :( no 1 would help me pls try to help and its in 12:20 so I have a lot of time but pls help
Ratling [72]

Answer:

5/12 is smaller than 6/8

Step-by-step explanation:

5/12<6/8

7 0
2 years ago
Read 2 more answers
Is this relationship linear, exponential, or neither.<br><br> x -12 -6 0 6<br> y 9 12 20 40
Diano4ka-milaya [45]

Answer:

This appears to be exponential based on the plot of these points

Step-by-step explanation:

See image

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2 years ago
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