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3 years ago

11

The scatter plot shows the sizes and annual rents of some office spaces in the downtown area of a city. What would a line of bes

t fit reveal about these data?
This is from my G8 Phase III May 11-15 Test after we watched videos on Khan

1 answer:

strojnjashka [21]3 years ago

8 0

Give me a second please. Will have done in a second

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Determine whether the linear transformation is invertible. If it is, find its inverse. (If an answer does not exist, enter DNE.)

ankoles [38]

Answer:

$((-\frac{1}{2}(x+y), -\frac{1}{2} (x-y) )$

Step-by-step explanation:

T(x , y) = (-x -y, -x +y)

T(1, 0) = (-1, -1) = -1(1 , 0) -1(0 , 1)

T(0, 1) = (-1, 1) = -1(1 , 0) +1(0 , 1)

Therefore,

$T = \left[\begin{array}{ccc}-1&-1\\-1&1\end{array}\right]$

|T| = [-1 -1] = -2

T is invertible

$T^-^1 = -\frac{1}{2} \left[\begin{array}{ccc}1&+1\\+1&-1\end{array}\right] \\\\=\left[\begin{array}{ccc}-1/2&-1/2\\-1/2&1/2\end{array}\right]$

Therefore,

$T^-^1(x,y)=(-\frac{1}{2}x -\frac{1}{2} y,-\frac{1}{2} x+\frac{1}{2} y)$

$((-\frac{1}{2}(x+y), -\frac{1}{2} (x-y) )$

4 0

4 years ago

Answer choice D.) is 12/13<br> Please help!!

slava [35]

Look at the picture.

$sine=\dfrac{opposite}{hypotenuse}\\\\\sin\angle L=\dfrac{x}{y}$

Use the Pythagorean theorem:

$x^2=3^2+4^2\\\\x^2=9+16\\\\x^2=25\to x=\sqrt{25}\to x=5$

Again use the Pythagorean theorem:

$y^2=5^2+12^2\\\\y^2=25+144\\\\y^2=169\to y=\sqrt{169}\to y=13$

Calculate sine:

$\sin\angle L=\dfrac{5}{13}\to\boxed{B.}$

6 0

3 years ago

What is the equation of 4

Mnenie [13.5K]

Answer:

2

Step-by-step explanation:

because idk I just know

4 0

3 years ago

HELP PLS I NEED THIS DONE ASAP

Sholpan [36]

Answer:

a = 4, b = 0

Also, a = 0 and b = 0 :)

8 0

3 years ago

Solve for w.<br><br><br> -21 = 7w

MaRussiya [10]

Answer:

-3

Step-by-step explanation:

divide 7 on both sides -21/7 = -3

w=-3

4 0

4 years ago

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