3 years ago

If P = (8,2), Find: r270 (P)

1 answer:

6 0

Answer:

In geometry we use input/output process when we determine how shapes are altered or moved. ... f) P (x,y) ------ > (x + 3, 2y) (-4,9). A' (-1, 18)_.

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Tems11 [23]

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Step-by-step explanation:

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A 12-sided number cube with the numbers 1 through 12 is rolled what is the probability of the cube landing on 4. HURRY HELP ME F

dmitriy555 [2]

Is the answer D i might be wrong sorry if i am

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3 years ago

5 is 4% of what number

densk [106]

We set up a proportion: 5/?= 4/100

Cross multiply: 4*?= 5*100
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5 is 4% of 125.

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3 years ago

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Alex777 [14]

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Step-by-step explanation:

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3 years ago

Determine if the given function is a linear transformation. t(x1, x2, x3) = (−2x2, 6x3)

Zepler [3.9K]

$T:\mathbb R^3\to\mathbb R^2$ will be linear if for any $\mathbf x,\mathbf y\in\mathbb R^3$ and constants $a,b\in\mathbb R$ , we have

$T(a\mathbf x+b\mathbf y)=aT(\mathbf x)+bT(\mathbf y)$

Let $\mathbf x=(x_1,x_2,x_3)$ and $\mathbf y=(y_1,y_2,y_3)$ , and let $a,b$ be any two scalars. Then

$a\mathbf x+b\mathbf y=(ax_1+by_1,ax_2+by_2,ax_3+by_3)$

By definition of $T$ , we have

$T(a\mathbf x+b\mathbf y)=(-2ax_2-2by_2,6ax_3+6by_3)$
$T(a\mathbf x+b\mathbf y)=(-2ax_2,6ax_3)+(-2by_2,6by_3)$
$T(a\mathbf x+b\mathbf y)=a(-2x_2,6x_3)+b(-2y_2,6y_3)$
$T(a\mathbf x+b\mathbf y)=aT(\mathbf x)+bT(\mathbf y)$

Therefore $T$ is a linear transformation.

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3 years ago