I put B but it said it was wrong???

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the

UNO [17]

Answer:

They are equidistant from origin.

Step-by-step explanation:

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?

They are equidistant from origin.

They are midpoints of segment ON and segment O prime N prime.

They are equidistant from point O.

They are midpoints of segment LN and segment L prime N prime.

Answer: If a point with location N(x, y) is rotated 90° clockwise around the origin, the new coordinate N' is at (y, -x). The distance of the two points from the origin O(0, 0) can be calculated using:

$ON=\sqrt{(y-0)^2+(x-0)^2}=\sqrt{y^2+x^2}\\ \\ON'=\sqrt{(y-0)^2+(-x-0)^2}=\sqrt{y^2+x^2}$

Therefore ON = ON'. The points N and N'are equidistant from the orign

7 0

3 years ago

30PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Yuliya22 [10]

1)

a)

P = 1500, r = 4% = 0.04, n = 5

$A = 1500 (1+0.04)^5= 1824.98$

He shall have $1824.98 in his account after 5 years

b)

Here P = 1500 , r = 4% = 0.04, n = 5 but simple interest

So

$I=PRn= 1500(.04)(5)=300$

Interest = $300

Amount in his account after 5 years = 1500 + 300 = $1800

c)

First one shall yield a better income and by 1824.98-1800 = $24.98

2)

a)

P= $2000, r = 8% = 0.08 so quaterly = 0.08/4 = 0.02, n = 1 year

$A = P(1+r)^{4n} =2000(1+0.02)^4 =2164.86$

There shall be $2164.86 after 1 year

b)

P = 2000, r= 8%=0.08 and n = 1 for simple interest

$I=PRn = 2000(0.08)(1)=160$

Amount after 1 year shall be 2000 + 160= $2160

c)

First option is a better option.

The difference is 2164.86 - 2160 = $4.86

3)

a)

Bank A

P= 3200, r = 3.5%= 0.035, n = 3 years for simple interest

$I =3200(0.035)(3)=336$

Interest earned in Bank A = $336

b)

Bank B

P = 3200, r = 3.4% = 0.034, n= 3

$A= P(1+r)^n=3200(1+0.034)^3=3537.62$

Interest earned = 3537.62 - 3200 = $337.62

c)

Tyler must choose Bank B as it fetches greater interest

d)

The difference in interest = 337.62 - 336 = $1.62

4 0

3 years ago

The y-intercept for the line defined by {y + 3 = 3(x + 3) }is (0, y). What is<br> the value of y?

I am Lyosha [343]

Answer:

6 is the answer why need to have 20 characters are u crazy

Step-by-step explanation:

Refer to the photoooooooooooooooooooi

3 0

2 years ago

Triangles H J K and L M N are shown. The triangles have identical side lengths and angle measures. Triangle H J K is slightly lo

Hitman42 [59]

Answer:

The answer is b : translate K to N and reflect across the line containing JK

Step-by-step explanation:

I just took the quiz

4 0

3 years ago

If the range of the function f(x) = 4x – 3 is {11.4, 15, 17, 29}, what is its domain?

malfutka [58]

The range of the function is the y-component or the ordinate of the sets of points. The domain of the function meanwhile is the x-component ot the abscissa of the sets of points. In this case, we have the function <span>f(x) = 4x – 3 and given each y, we get the x. Subsituting each y to the function we get the domain equal to {3.535, 4.5, 5, 8}.</span>

5 0

3 years ago