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Leni [432]
3 years ago
11

What are the coordinates of the points (2,-3) after a counter clockwise rotation of 90 about the Origin?

Mathematics
1 answer:
Ber [7]3 years ago
4 0

Step-by-step explanation:

(2, -3) is in the 4th quadrant. By the counter clockwise rotation of 90° around the origin, it will be in the 1st quadrant.

Any point in the 1st quadrant has both positive x and y coordinates.

So the answer is (3, 2).

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The expression means 15 minus the product of 5 times the difference of p minus 6. If p = 8, then the value of the expression is
MA_775_DIABLO [31]

Answer:

5

Step-by-step explanation:

from the question:

15-5(p-6)

when p=8,

=15-5(8-6)

=15-5(2)

=15-10

=5

please like and Mark as brainliest

3 0
3 years ago
Given the function f(x)=-x+3, find the value of f(13).
Otrada [13]

F(13) means x equals 13.

Replace x in the equation with 13 and solve:

-13 + 3 = -10

F(13) = -10

3 0
2 years ago
Read 2 more answers
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
yan [13]

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

  = πr² + (1/2)(2πrh) . . . . where h is the slant height

  = (πr)(r +h)

Filling in the numbers, you have ...

  SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

7 0
3 years ago
Please I really need help
ohaa [14]

9514 1404 393

Answer:

  • scale factor: 3
  • rule: (x, y) ⇒ (3x +15, 3y -24)
  • center: (-7.5, 12)

Step-by-step explanation:

The scale factor can be found by comparing the length of CB to the length of RQ.

  B-C = (-2, 8) -(-4, 9) = (2, -1)

  Q-R = (9, 0) -(3, 3) = (6, -3)

The length of RQ is clearly 3 times the length of CB, so the scale factor (k) is ...

  ratio of corresponding differences = 6/2 = -3/-1 = 3 . . . . . scale factor

__

We know that for dilation about a point O, the distance from O is multiplied by the scale factor. For dilation of point B to point Q, this means ...

  k(B -O) = (Q -O)

Solving for Q, we get ...

  Q = kB -kO +O . . . . this is what our dilation rule will look like.

The quantity O-kO can be found by subtracting kB:

  Q -kB = O -kO = O(1 -k)

This is what we need for our dilation rule.

  Q -kB = (9, 0) -3(-2, 8) = (9+6, 0-24) = (15, -24)

So, our dilation rule is ...

  (x, y) ⇒ k(x, y) +(15, -24)

  (x, y) ⇒ (3x +15, 3y -24) . . . . . dilation rule

__

The center of dilation can be found from ...

  (Q -kB)/(1 -k) = O

  O = (15, -24)/(1 -3) = (-7.5, 12)

The center of dilation is (-7.5, 12).

_____

<em>Additional comments</em>

On the graph, the center of dilation can be found by drawing a line through a point and its image. (Points are always dilated along a line through the center of dilation.) The intersection of two such lines is the center of dilation.

On this graph, the center is just above the top edge of the chart, at point (-7.5, 12). You can see this if you carefully draw lines BQ and AP.

You usually have coordinates for two original points and two image points, so finding the scale factor the way we did is not difficult. If you just have one point on the original and the image, the scale factor is found by finding their distances from the center of dilation. Each image point is k times as far as each original point from that center.

7 0
2 years ago
To counteract the frog population spike, the parks department has decided to introduce a large number of predator fish into thei
tekilochka [14]

Answer:

1.2 x 10⁴

Step-by-step explanation:

12,000 has 2 places of other numbers before a spam of zeroes.

Take the numbers before zeroes and put a decimal to the left of the last digit.

Last digit is 2 so a decimal goes before 2

1.2

Count how many places the decimal moved: this number is your power of 10.

12000.  --> 1.2000

It moved 4 places.

12,000 = 1.2 x 10⁴

6 0
3 years ago
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