simplify the rational expression. state any restrictions on the variable. ((n^(4)-11n^(2)+30))/(n^(2)-7n^(2)+10)

A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The

Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

O (0,0) and B(10, –15)

substitute

$d=\sqrt{(-15-0)^{2}+(10-0)^{2}}$

$d=\sqrt{325}\ units$

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

O (0,0) and B'(2,-3)

substitute

$d=\sqrt{(-3-0)^{2}+(2-0)^{2}}$

$d=\sqrt{13}\ units$

step 3

Find the scale factor of the dilation

The scale factor is equal to divide the length of segment OB' by the length of segment OB

so

$\frac{\sqrt{13}}{\sqrt{325}}=\frac{1}{5}$

so

One-fifth

4 0

3 years ago

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It takes Carrie 58 minutes to get home.

Mariana [72]

1 Hour has 60 minutes, so you can add 1 hour and subtract 2 minutes:

1:32 + 58 minutes = 2:30

3 0

4 years ago

What is the area of the trapezoid below pls help lol

Irina18 [472]

Gotchu

Trapezoid formula is
A + b over 2 (h)

46 + 26 over 2 times 19 = 684

7 0

3 years ago

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Consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?

Juliette [100K]

9514 1404 393

Answer:

x ≈ -4.9

Step-by-step explanation:

There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.

x ≈ -4.9

_____

Using iterative techniques, the calculator can give an answer to the full precision available. It is ...

x ≈ −4.91733286844

6 0

3 years ago

could anyone give a simple answer? sorry if im asking so many questions, im just confused. Which table of ordered pairs represen

svetoff [14.1K]

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled x with entries 16, 32, 48. Column 2 is labeled y with entries 1, 2, 4.

No, as x= 4 ⇒ y =64 not 48

A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 5, 6. Column 2 is labeled y with entries 5, 20, 30.

No, as x = 5 ⇒ y = 25 not 20

A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.

Yes, as 2*7 = 14, 4*7= 28, 6*7= 42

A 2-column table with 3 rows. Column 1 is labeled x with entries 0, 1, 3. Column 2 is labeled y with entries 25, 70, 90.

No, x = 3 ⇒ y= 25+3*45= 160 not 90

3 0

3 years ago

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