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Kryger [21]
2 years ago
12

(2x² - 5x + 12) + (x² + 72 – 8)​

Mathematics
1 answer:
ratelena [41]2 years ago
6 0

Answer:

3x squared - 5x+76

Step-by-step explanation:

2x^2+x^2=3x^2

-5x

12+72-8=76

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The vertices of ΔABC are A(−3,4)​, B(−2,4)​, and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image Δ​A'B'C
Mumz [18]

The coordinates of vertex B' is P'(x,y) = (-2, -8).

<h3>How to calculate the coordinate of point by reflection</h3>

A point if reflected across the line y = -2 by means of the following formula:

P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)] (1)

Where:

  • P(x,y) - Original point
  • x_{P} - x-Coordinate of point P
  • P'(x,y) - Resulting point

If we know that P(x,y) = (-2,4) and x_{P} = -2, then the coordinates of the vertex is:

P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]

P'(x,y) = (-2, 4) +2\cdot (0, -6)

P'(x,y) = (-2, 4) + (0,-12)

P'(x,y) = (-2, -8)

The coordinates of vertex B' is P'(x,y) = (-2, -8). \blacksquare

To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272

3 0
2 years ago
HURRY PLEASE!! How many sides are there in a regular polygon which has 120 degrees in each of its angeles?
N76 [4]
Number of angles = number of sides

180 - 120 = 60 (calculating the exterior angle)

360 / 60 = 6

There are 6 sides.

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
Twice a number added to their half of itself equals 20 find the number
Sonbull [250]

Answer:

x(2) + 5\\

The number is 8 because 8 * 2 = 16

And if you add 4, you get 20

Hence, the number is 8

8 0
2 years ago
Read 2 more answers
Solve the equation for x by graphing -2x + 3 = -3(-x) - 2
adoni [48]

Answer:

  x = 1

Step-by-step explanation:

There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.

__

Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.

  (-2x +3) -(-3(-x) -2) = 0

A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...

  -5x +5 = 0

So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.

6 0
3 years ago
A triangle is enlarged by a factor of 3. The perimeter of the new triangle is 36 feet. What could be the lengths of the sides of
Burka [1]
3 feet 4 feet 5 feet is the answer. 3(3 + 4 + 5)=36
4 0
2 years ago
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