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2 years ago

When translating a figure using a combination of two translations, is the resulting figure congruent to the original figure?

Mathematics

1 answer:

emmainna [20.7K]2 years ago

6 0

It has to be the original figure but it is in a different spot on the graph

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Graph and write solution:<br><br> 2x + 1 = y<br><br> -4x + 6y = -10

PIT_PIT [208]

The graph is shown in figure below

The Solution Set is (-2,-3)

Step-by-step explanation:

We need to graph the equations and writ the solution.

For graphing we need to find the values of x and y.

For that, we need to solve the given equations:

$2x + 1 = y\\-4x + 6y = -10$

Let:

$2x + 1 = y\,\,\,eq(1)\\-4x + 6y = -10\,\,\,eq(2)$

We can solve this by using Substitution Method.

Putting value of y of eq(1) into eq(2) and finding value of x:

$2x + 1 = y\,\,\,eq(1)\\-4x+6(2x+1)=-10\\-4x+12x+6=-10\\8x+6=-10\\8x=-10-6\\8x=-16\\x=-16/8\\x=-2$

So, value of x = -2

Now put value of x in eq(1) to find value of y:

$2x + 1 = y\\2(-2)+1=y\\-4+1=y\\y=-3$

So, value of y = -3

Plotting on graph: x=-2 and y = -3

The graph is shown in figure below

The Solution Set is (-2,-3)

Keywords: graph the equations

Learn more about Graphing Equations at:

#learnwithBrainly

4 0

3 years ago

Transform the following linear equation to the "Aha" line. Give a brief explanation as to what kind of solution(s) you expect th

mote1985 [20]

1+2/3 this is the correct answer

3 0

2 years ago

If f(x)=x-2 which of the following is the inverse of f(x) brainly

Lostsunrise [7]

Answer:

The inverse of f(x) is $f ^ {- 1}(x) = x + 2$

Step-by-step explanation:

To find the inverse of the function $f (x) = x-2$ , perform the following steps:

1) do $y = f (x)$

$y = x-2$

2) Solve the equation for the variable x.

$y + 2 = x -2 +2$

$y + 2 = x$

3) exchange the variable x with the variable y

$y + 2 = x$ ----> $x + 2 = y$

4) Change the variable y by $f ^{- 1}(x)$

Finally the inverse function is:

$f ^ {- 1} (x) = x + 2$

4 0

3 years ago

How would I do this? What would it be?

Igoryamba

Answer: $x=80$

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, you can write the following equation:

$(x+8)+(2x+12)+(x+20)=360$

Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:

1. You need to add the like terms:

$(x+8)+(2x+12)+(x+20)=360\\\\4x+40=360$

2. Now, subtract 40 from both sides of the equation:

$4x+40-(40)=360-(40)\\\\4x=320$

3. Finally, you must divide both sides of the equation by 4. Then:

$\frac{4x}{4}=\frac{320}{4}\\\\x=80$

7 0

3 years ago

Sum of -6x^2-1 and x+9

Bumek [7]

Answer:

-6x^2+x+8

Step-by-step explanation:

9+-1=8

3 0

2 years ago

Read 2 more answers