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hodyreva [135]
3 years ago
11

A triangle has vertices at B(-3,0), C(2, -1), D(-1, 2). Which transformation would produce an image with vertices B"(1, -2), C"(

0, 3), D"(3, 0) (1 point)
(X,Y) - (x + 1, Y + 1), (X,Y) - (-X, Y)
(x,y) - (x, y), (x, y) - (x + 2, Y + 2)
(x,y) - (-X, Y), (X,Y) - (x + 2, Y + 2)
(x,y) - (x + 1, Y + 1), (X,Y) - (y,x)
Will mark brainalist
Mathematics
2 answers:
telo118 [61]3 years ago
3 0

Answer:

(x,y) - (x + 1, Y + 1), (X,Y) - (y,x)

Step-by-step explanation:

Take B (-3, 0) as example

(-3,0) -> (-2, 1) -> (1, -2)

aniked [119]3 years ago
3 0

Answer:

(x,y) - (x + 1, Y + 1), (X,Y) - (y,x)

Step-by-step explanation:

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For which system of equations is (5, 3) the solution? A. 3x – 2y = 9 3x + 2y = 14 B. x – y = –2 4x – 3y = 11 C. –2x – y = –13 x
Alla [95]
The <u>correct answer</u> is:

D) \left \{ {{2x-y=7} \atop {2x+7y=31}} \right..

Explanation:

We solve each system to find the correct answer.

<u>For A:</u>
\left \{ {{3x-2y=9} \atop {3x+2y=14}} \right.

Since we have the coefficients of both variables the same, we will use <u>elimination </u>to solve this.  

Since the coefficients of y are -2 and 2, we can add the equations to solve, since -2+2=0 and cancels the y variable:
\left \{ {{3x-2y=9} \atop {+(3x+2y=14)}} \right. &#10;\\&#10;\\6x=23

Next we divide both sides by 6:
6x/6 = 23/6
x = 23/6

This is <u>not the x-coordinate</u> of the answer we are looking for, so <u>A is not correct</u>.

<u>For B</u>:
\left \{ {{x-y=-2} \atop {4x-3y=11}} \right.

For this equation, it will be easier to isolate a variable and use <u>substitution</u>, since the coefficient of both x and y in the first equation is 1:
x-y=-2

Add y to both sides:
x-y+y=-2+y
x=-2+y

We now substitute this in place of x in the second equation:
4x-3y=11
4(-2+y)-3y=11

Using the distributive property, we have:
4(-2)+4(y)-3y=11
-8+4y-3y=11

Combining like terms, we have:
-8+y=11

Add 8 to each side:
-8+y+8=11+8
y=19

This is <u>not the y-coordinate</u> of the answer we're looking for, so <u>B is not correct</u>.

<u>For C</u>:
Since the coefficient of x in the second equation is 1, we will use <u>substitution</u> again.

x+2y=-11

To isolate x, subtract 2y from each side:
x+2y-2y=-11-2y
x=-11-2y

Now substitute this in place of x in the first equation:
-2x-y=-13
-2(-11-2y)-y=-13

Using the distributive property, we have:
-2(-11)-2(-2y)-y=-13
22+4y-y=-13

Combining like terms:
22+3y=-13

Subtract 22 from each side:
22+3y-22=-13-22
3y=-35

Divide both sides by 3:
3y/3 = -35/3
y = -35/3

This is <u>not the y-coordinate</u> of the answer we're looking for, so <u>C is not correct</u>.  

<u>For D</u>:
Since the coefficients of x are the same in each equation, we will use <u>elimination</u>.  We have 2x in each equation; to eliminate this, we will subtract, since 2x-2x=0:

\left \{ {{2x-y=7} \atop {-(2x+7y=31)}} \right. &#10;\\&#10;\\-8y=-24

Divide both sides by -8:
-8y/-8 = -24/-8
y=3

The y-coordinate is correct; next we check the x-coordinate  Substitute the value for y into the first equation:
2x-y=7
2x-3=7

Add 3 to each side:
2x-3+3=7+3
2x=10

Divide each side by 2:
2x/2=10/2
x=5

This gives us the x- and y-coordinate we need, so <u>D is the correct answer</u>.
7 0
3 years ago
What is the solution to the system of equations?<br> 7x + 3y = -11<br> 2x + 5y=1
marta [7]

Answer:

x = -2 and y = 1

Step-by-step explanation:

for details see image

7 0
3 years ago
What is the metric equivalent in meters to 1250 feet?
Dvinal [7]

381 meters because you divide 1250 by 3.281 and you get 381 meters

6 0
3 years ago
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Respond to each of the following questions. Be sure to include and thoroughly describe each transformation.
sergeinik [125]

Answer:

31. 1) Vertical shift up 4 units.

     2) Horizontal shift right 1 unit.

     3) Vertically stretched by a factor of 3.

32. g(x)=-(x+3)^2+7

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

- If f(x)+k, the function is shifted up "k" units.

- If f(x)-k, the function is shifted down "k" units.

- If f(x+k), the function is shifted left "k" units.

- If f(x-k), the function is shifted right "k" units.

- If -f(x), the function is reflected over the x-axis.

- If bf(x) and b>1, the function is stretched vertically by a factor of "b".

31. Given the function f(x)=x^{2} and the function g(x) = 3(x - 1)^2 + 4, we can notice that the transformations from the graph of f(x) to the graph of g(x) are:

1)  f(x)+k

2)  f(x-k)

3)  bf(x), being b>1

Therefore, we can conclude that the transformations necessary to transform the graph of f(x) to the graph g(x) are:

1) Vertical shift up 4 units.

2) Horizontal shift right 1 unit.

3) Vertical stretch by a factor of 3.

32. Knowing the parent function:

 f(x)=x^{2}

And given the transformations:

1) Reflection over the x-axis.

2) Horizontal shift left 3 units.

3) Vertical shift up 7 units.

We can define that the function g(x) is:

g(x)=-(x+3)^2+7

7 0
3 years ago
Help help please will give brainliest PLEASE​
Ganezh [65]

Answer:

A x, y

Step-by-step explanation:

Hopefully this helps

7 0
3 years ago
Read 2 more answers
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