All categories

3 years ago

(15, 31) is rotated 90 ° counterclockwise which coordinates gives me

Mathematics

1 answer:

dezoksy [38]3 years ago

4 0

Answer:

(-31,15)

Step-by-step explanation:

Rotating 90 degrees clockwise is very simple:

(a,b) 90 degrees= (-b,a)

Very simple.

Just switch sides and add negative to the first term.

You might be interested in

Your firm has a price of $5, an average total cost of $7, and an average variable cost of $4. In the short run, you should

djverab [1.8K]

Answer:

Step-by-step explanation:

Given that a firm has a price of $5, an average total cost of $7, and an average variable cost of $4

Price = 5

Var cost = 4

Contribution = 1 dollar per unit

Since contribution is positive, there is scope for getting profit by increasing production.

In the short run, you should __operate______(operate/shut down) because __Price______exceeds ________ average variable cost price . In the long run, you should __exit______(stay in/exit) the market because ________ average total cost price exceeds____price.______average variable cost price average total cost

5 0

3 years ago

Rewrite each equation in vertex form by completing the square. Then identify the vertex.

Cerrena [4.2K]

ANSWER

Vertex form:

$y = ( {x + 4)}^{2} - 11$

Vertex

V(-4,-11)

EXPLANATION

The given expression is

$y = {x}^{2} + 8x + 5$

We complete the square to get the vertex form.

Add and subtract half the square of the coefficient of x.

$y = {x}^{2} + 8x + 16 + 5 - 16$

$y = ( {x + 4)}^{2} - 11$

The vertex is

V(-4,-11)

7 0

3 years ago

Read 2 more answers

Twice the quantity of a number plus two is greater than the number plus five.

Greeley [361]

2(x+2) > x+5
2x+4 > x+5
2x+4-x > x+5-x
x+4 > 5
x+4-4 > 5-4
x > 1

7 0

3 years ago

A jar contains 10 red marbles and 20 blue marbles. if one red marble is selected and then placed back into the jar, what is the

Serggg [28]

You have a 30% chance of getting a blue marble. <span />

6 0

3 years ago

Point A is at (-1,-9) and Point M is at (0.5,-2.5).

leva [86]

Midpoint Formula: $(\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})$

So firstly, let's start with the x-coordinates. Since we know the midpoint's x-coordinate and point A's x-coordinate, we can solve for point B's x-coordinate as such:

$\frac{-1+x}{2}=0.5\\\\-1+x=1\\\\x=2$

Next, do the same thing except solve for the y-coordinate and using point A's y-coordinate and the midpoint's y-coordinate:

$\frac{-9+y}{2}=-2.5\\\\-9+y=-5\\\\y=4$

<u>Putting it together, point B's coordinates are (2,4).</u>

4 0

2 years ago