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3 years ago

Column vector (4, 1) has been rotated to column vector (-1, 4). Which matrix carried out the transformation?

Mathematics

1 answer:

OLEGan [10]3 years ago

5 0

Answer:

C.(3|-4)

Step-by-step explanation:

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In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the e

OlgaM077 [116]

47 days because If it’s half of the lake and doubles one more time then it would be the full lake

3 0

3 years ago

Please help, will give brainliest!!

bogdanovich [222]

Answer:

15°

Step-by-step explanation:

sum of exterior angles=360°

each angle=360/24=15°

20 ×n=360

n=360/20=18

18 sides

(n-2)×180=174n

180n-174n=360

6 n=360

n=360/6=60

number of sides =60

5 0

4 years ago

Help me!!

Vladimir79 [104]

<u>ANSWER: </u>

x − intercept is ( $\frac{8}{3}, 0$ ) , y − intercept is (0,8).

<u>SOLUTION: </u>

Given, linear equation is y = 3x – 8 --eqn (1)

We need to find x – intercept and y – intercept i.e. where the line meets x – axis and y – axis

Now, let us find x – intercept. So put y = 0 in eqn (1)

0 = 3x – 8

3x = 8

x = $\frac{8}{3}$

So, point where given line meets x – axis is ( $\frac{8}{3}$ ,0)

Now, let us find y – intercept. So put x = 0 in (1)

y = 3(0) – 8

y = 8

So, point where given line meets y – axis is (0,8).

Hence, x − intercept is ( $\frac{8}{3}$ ,0) , y − intercept is (0,8).

5 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

olga nikolaevna [1]

$f(x_1,\ldots,x_n)=x_1+\cdots+x_n=\displaystyle\sum_{i=1}^nx_i$

${x_1}^2+\cdots+{x_n}^2=\displaystyle\sum_{i=1}^n{x_i}^2=4$

The Lagrangian is

$L(x_1,\ldots,x_n,\lambda)=\displaystyle\sum_{i=1}^nx_i+\lambda\left(\sum_{i=1}^n{x_i}^2-4\right)$

with partial derivatives (all set equal to 0)

$L_{x_i}=1+2\lambda x_i=0\implies x_i=-\dfrac1{2\lambda}$

for $1\le i\le n$ , and

$L_\lambda=\displaystyle\sum_{i=1}^n{x_i}^2-4=0$

Substituting each $x_i$ into the second sum gives

$\displaystyle\sum_{i=1}^n\left(-\frac1{2\lambda}\right)^2=4\implies\dfrac n{4\lambda^2}=4\implies\lambda=\pm\frac{\sqrt n}4$

Then we get two critical points,

$x_i=-\dfrac1{2\frac{\sqrt n}4}=-\dfrac2{\sqrt n}$

$x_i=-\dfrac1{2\left(-\frac{\sqrt n}4\right)}=\dfrac2{\sqrt n}$

At these points we get a value of $f(x_1,\cdots,x_n)=\pm2\sqrt n$ , i.e. a maximum value of $2\sqrt n$ and a minimum value of $-2\sqrt n$ .

6 0

4 years ago

Pick up rational number from the following numbers : -6/7,0,100/0,5 3/4,0/2,24/1

Dominik [7]

Answer:

All of them

Step-by-step explanation:

A rational number is a number that can be in the form in a/b like 5/4, 8/9

100 can be write as: 1000/10

So all of the number that you list is all RATIONAL NUMBERS

Hope this helped :3

4 0

4 years ago