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AleksandrR [38]
2 years ago
14

Start with the point A (3, 1). Translate the point 1 unit to the left and 4 units down. What are the new coordinates of the poin

t A’? Now translate A’ 3 unit to the left and 2 units up. What are the new coordinates of the point A’’? What translation would need to be made in order for the result to be the original point A (3, 1)?
Mathematics
1 answer:
Over [174]2 years ago
3 0

This is the transformations: See the picture, here we find the coordinate:

A' = (2,-3) and A''=(0.5,-2). There is many ways to get back to A from A'', i have showed one way (the red lines). This is done by going 5 units right and then 6 units up.

see image at https://imgur.com/a/fWQl8



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elena55 [62]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

#SPJ1

5 0
2 years ago
What is 39/2 simplified
dsp73

Answer: 19.5 is the answer

Step-by-step explanation: 39 divided by 2 is 19.5

5 0
3 years ago
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What is the equation of the graphed line written in standard form?
liraira [26]

Answer:

The last one   5x-3y=15   This is the same as  y= (5/3)x -5

Step-by-step explanation:

5x-3y=15

Move 5x to the right (becoming negative)

-3y = -5x +15

Divide everything by - 3

y= (5/3)x -5

  

y intersect= -5   ( line crosses y coordinate at -5)

Slope = 5/3      From -5  you start counting  (5 up,3 right,5 up,3 right....  OR    5 down,3 left,5 down,3 left........)

6 0
3 years ago
The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer.
____ [38]

Answer:

31

Step-by-step explanation:

x, x+1, x+2

x + x + 1 +x + 2 = 90

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3x = 87

/3     /3

x = 29

29 + 2 = 31

3 0
3 years ago
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