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3 years ago

7

What is the image of point R after a counterclockwise rotation on 270 degrees about the orgin?

1 answer:

alexandr1967 [171]3 years ago

4 0

I will use ccw for countercloclwise and cw for clockwise for this explination.

A 270 ccw rotation is the EXACT same as a 90 cw rotation. So to perform a 90 degree cw rotation all that has to be done is swap the x anf y coordinates and change the sign on the y. As a general form:
(x, y) becomes (y, -x)

In your problem R is at (3, 6) so swap the 3 and 6 to get (6, 3) now change the sign on the 3 to get R' as (6, -3)

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Question is shown below.

Andrei [34K]

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

$\frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11} = 220$

$\frac{2140 + x}{11} = 220$

$2140 + x = 2420$

$x = 2420 - 2140$

$x = 280$

We convert 280 seconds to minutes.

$\frac{280}{60} = 4 \frac{2}{3} = 4mins : 40 sec$

The correct choice is D

3 0

3 years ago

The scale in the drawing is 2in:4ft. What are the length and width of the actual room find the area of the actual room

Marizza181 [45]

1:24 get them each doqwn 1 inch 24 inche = 2 feet

6 0

3 years ago

Read 2 more answers

If the function rule is to multiply by 4, and an output value is 8, what is the input value?

Dmitrij [34]

Answer:

d. 2

Step-by-step explanation:

if you have to find the input just do the output divided by the muliply by which gives you the input

8 0

3 years ago

Re write the expression 8^6 x 8^3/ 8^5 as an exponential expression with a single base

Arada [10]

Answer:

8^4

Step-by-step explanation:

Here we have:

8^6 · 8³

-------------

8^5

That's multiplication in the numerator. The appropriate rule of exponents states that:

8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.

Now we have

8^9

------

8^5

and the appropriate rule for division here is

8^a / 8^b = 8^(a - b)

So our:

8^9

--------- 8^(9-5) = 8^4

8^5

4 0

3 years ago

I cant figure this out

Rudik [331]

Answer:

x = 2 or x = -1/4

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2−7x−2=0

For this equation: a=4, b=-7, c=-2

4x^2+−7x+−2=0

Step 1: Use quadratic formula with a=4, b=-7, c=-2.

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(-7)\pm\sqrt{(-7)^2-4(4)(-2)} }{2(4)}$

$x=\frac{7\pm\sqrt{81} }{8}$

x = 2 or x = -1/4

<u>Answer:</u>

x = 2 or x = -1/4

6 0

2 years ago