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Nitella [24]
3 years ago
13

If P = (-1,-1), find the image

Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0
<h3>Answer:     (-1, 1)</h3>

=========================================================

Explanation:

The rotation rule we use is (x,y) \to (y, -x)

The x and y coordinates step places, then the second coordinate (after the swap) changes in sign from positive to negative, or vice versa.

For example, the point (5,7) rotates to (7, -5). As another example, (2,-1) becomes (-1, -2). As another example, (-9,4) becomes (4,9).

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

In our case, the point (-1,-1) will rotate to (-1, 1)

Note: A 270 degree counterclockwise rotation about the origin is the same as a 90 degree clockwise rotation about the origin. Refer to the diagram below.

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What is the solution to the system of equations shown below?
Alexxandr [17]

Answer:

  b.  (1, 3, ­-2)

Step-by-step explanation:

A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.

It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:

  a: -1 -5(1) +2(-4) = -14 ≠ -18

  b: 1 -5(3) +2(-2) = -18 . . . . potential choice

  c: 3 -5(8) +2(1) = -35 ≠ -18

  d: 2 -5(-3) +2(0) = 17 ≠ -18

This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:

  2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1

  -(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2

7 0
3 years ago
A betta fish tank is in the shape of a cube. The volume of the fish tank is 216
GarryVolchara [31]

To find this answer, we need to understand how to get the Volume.

We get the volume by the formula: L x W x H

L = Length

W = Width

H = Height

So, we can see that there are 3 units required to know for getting the volume, if that's true, then, to do the inverse operation of finding the volume. That can be done by using thie formula:

V=a^3

a= edge

Solving for a

a=V⅓=216⅓=6

<h2>So hence, each of the Cube shaped Fish Tank is 6in³</h2>

now, let's look at how to find whether our answer is right or wrong

6x6=36

36x6=216

So hence, our answer is right!

-------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you!" B.B.King

Thanks!

Mark me brainliest!

Have a GREAT AWESOME day!

~ms115~

:D

6 0
2 years ago
7k÷3=21. What is the value of k?
viva [34]
7k/3 = 21
x 3       x3
7k = 63
/7      /7
k = 9
(7(9)/3 = 21    =    63/3 = 21    =    21 = 21)
5 0
3 years ago
Read 2 more answers
Find the exact area of the shaded region
GREYUIT [131]

Answer:

B: 192pi - 144

Step-by-step explanation:

Area of the sector = (120/360) * pi * r^2

Area of the sector = 1/3 * pi * 24 * 24

Area of the sector = 192 * pi

Now to find the area of the triangle.

The triangle is an isosceles triangle That means two of its sides are equal. They are equal to the radius of the circle, which is 24.

the small angles are equal to

2x + 120 = 180    Subtract 120 from both sides

2x = 60               Divide by 2

x = 60/2

x = 30

The height of the triangle is derived from sin(30) = opposite / hypotenuse

sin(30) = 1/2

hypotenuse = 24

1/2 = opposite / hypotenuse

1/2 = opposite / 24                      Multiply both sides by 24

1/2 * 24 = opposite

opposite = 12

The height = 12

r = 24

Area of the triangle = 1/2 * 12 * 24

Area of the triangle = 144

So the area of the shaded area = 192*pi - 144 which looks like B

8 0
3 years ago
Which equation best represents this situation? The number 39 is equal to 13 subtracted from an unknown number. A. 39 = r ÷ 13 B.
neonofarm [45]
"The number 39 is equal to"

39=

"thirteen subtracted from an unknown number"

r-13

Putting it together you have:

39=r-13
6 0
3 years ago
Read 2 more answers
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