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3 years ago

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Let f (x )equals left brace Start 2 By 1 Matrix 1st Row 1st Column x if x greater than or equals 2 2nd Row 1st Column 2 if x les

s than 2 EndMatrixf(x)= x if x≥2 2 if x<2 . a. Find f(11), f(22), and f(99)

1 answer:

Marat540 [252]3 years ago

8 0

Answer:

Step-by-step explanation:

Given that a function f is piecewise function as

$f(x) = x, x\geq 2\\f(x) = 2, x$

a)

f(11) here 11 >2

So f(11) = 11

Similarly since 22 is greater than 2

f(22) = 22

and also since 99>22

f(99) = 99

If only x value is less than 2, we get the constant funciton 2.

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Answer:

30 degrees

Step-by-step explanation:

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The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

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$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

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Thus

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Formula

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$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

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A Farm raises pigs and chickens. The farmer has a total of 66 animals. One Day he Counts the legs of all his animals and realize

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Answer: Pigs = 21

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Step-by-step explanation:

Let the pigs be represented by p

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