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8090 [49]
2 years ago
6

Graph the image of square CDEF after a reflection across the x-axis​

Mathematics
1 answer:
Rina8888 [55]2 years ago
5 0

Answer:

If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:

(x,-y)

So we only change the sign of the y-component.

Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.

Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.

The original vertices are:

C = (-3, 7)

D = (0, 7)

E = (0, 10)

F = (-3, 10)

Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:

C' = (-3, -7)

D' = (0, -7)

E' = (0, - 10)

F' = (0, - 10)

Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.

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-3y+10=-14 Explain How To Solve The Answer.
Sonja [21]
You want to isolate the variable 'y'.

\sf -3y+10=-14

Subtract 10 to both sides:

\sf -3y=-24

Divide -3 to both sides:

\sf y=\boxed{\sf 8}
6 0
3 years ago
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For the function f(x) = 3x-11, identify the range for f(6), f(7), and f(11)
aalyn [17]

Answer:

f(6)= 7        f(11)= 22

f(7)= 10  

Step-by-step equation:

f(6)= 3(6)-11  = 7\\f(7)= 3(7)-11  = 10\\f(11)= 3(11)-11  = 22

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3 years ago
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What is the 6th term in the sequence described by the following recursive formula?
larisa86 [58]

Answer:

Correct answer is: D) a₆ = - 11

Step-by-step explanation:

Given:

a₁ = 9 and aₙ = aₙ₋₁ - 4

We know it is

a₆ = a₅ + d also it is given a₆ = a₅ - 4

When we equate the right sides of equality we get:

a₅ + d = a₅ - 4 => d = - 4

We also know it is   a₆ = a₁ + 5 d

Now we will find a₆

a₆ = 9 + 5 (-4) = 9 - 20 = - 11

a₆ = - 11

God with you!!!

4 0
3 years ago
In a box, there are 8 red, 7 blue, and 6 green balls. One ball is picked up randomly.
stiv31 [10]

Answer:

1/3

Step-by-step explanation:

1. Add all the numbers

2. The number that could be picked over the answer to the added numbers

3. Simplify

4 0
3 years ago
Mandy bought a purse and a pair of boots for $96. The pair of boots cost twice asmuch as the purse. What was the difference in p
Katena32 [7]

The difference was $66.


Work:

32 x 2 = 64

Then try 32 + 64 = 96


That's how you can tell.


Hope this helps!

3 0
3 years ago
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