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Mademuasel [1]
3 years ago
8

Which equation does the graph represent?

Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0
Your answer is D.
y = -4x
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A student found the slope of a line that passes through the points (3, 15) and (5, 9) to be . What mistake did he make?
Olenka [21]
I hope this helps you



slope=y2-y1/x2-x1


slope=9-15/5-3


slope= -6/2


slope = -3
4 0
3 years ago
Read 2 more answers
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
Two cars leave from the same point at the same time, one traveling east and the other traveling west.
Citrus2011 [14]
Car travelling to the east is at 104 miles per hour and the car travelling to the west is moving at 114 miles per hour
8 0
3 years ago
-10+16 divided by (-2)+7<br><br> *Please show work!*
Verdich [7]
Here’s my work to your question!

4 0
2 years ago
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A square garden has an area of 1600 feet length of each side
dimaraw [331]
* <em>L is the Length</em><em /> <em>and A is the Area
</em><em />
L * L = A
L * L = 1600
L^2 = 1600
√L^2 = √1600
L = 40 feet

Answer: The length of each side is 40 feet.

Btw: <em />this was your question "<em>A square garden has an area of 1600 feet length of each side"</em>

When it should be . . .

<em>"A square garden has an area of 1600 feet squared length of each side"</em>
3 0
2 years ago
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