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ATP and photovoltaic cells are similar because(1 point) Responses they both produce chemical and electrical energy. they both produce chemical and electrical energy. they are both key components of plant cells. they are both key components of plant cells. they are both key components of solar panels. they are both key components of solar panels. they both use energy transport chains.A coordinate plane's x-axis ranges from negative 1 to 20 and its y-axis ranges from negative 10 to 10, both in 1-unit increments. Eight points are marked and plotted forming two quadrilaterals.

What kind of translation has been done to quadrilateral ABCD
?

5 answers

To determine the type of translation that has been performed on quadrilateral ABCD, we would need to compare the coordinates of the original quadrilateral with the coordinates of the translated quadrilateral.

Translations can be described as shifts in the x and/or y directions. For example:

  • A translation to the right is a positive change in x.
  • A translation to the left is a negative change in x.
  • A translation upward involves a positive change in y.
  • A translation downward involves a negative change in y.

Once we have the coordinates of quadrilateral ABCD before and after the translation, we can calculate the differences in coordinates.

For example, if the coordinates of points A, B, C, and D before translation were:

  • A(x1, y1)
  • B(x2, y2)
  • C(x3, y3)
  • D(x4, y4)

And after translation they became:

  • A'(x1', y1')
  • B'(x2', y2')
  • C'(x3', y3')
  • D'(x4', y4')

We can find:

  • Change in x = x' - x
  • Change in y = y' - y

If the changes in x and y are the same for all points, then it is a uniform translation. If they are different, it could involve scaling or reflection.

If you can provide the coordinates of the original quadrilateral and the translated one, I can help determine the specific type of translation it underwent.

ATP and photovoltaic cells are similar because(1 point) Responses they both produce chemical and electrical energy. they both produce chemical and electrical energy. they are both key components of plant cells. they are both key components of plant cells. they are both key components of solar panels. they are both key components of solar panels. they both use energy transport chains.Use the image to answer the question.

A rectangle is labeled upper A upper B upper C upper D. The area inside of the rectangle is shaded, and each of the vertices is labeled.

Jarvis wants to translate rectangle ABDC
horizontally by −4
and vertically by +3 to produce rectangle A′B′D′C′
. What will be the coordinates of C′
after Jarvis completes this translation?

(1 point)
(
,
)

To determine the new coordinates of point C' after the translation of rectangle ABCD, we need to know the original coordinates of point C.

  1. Horizontal translation by -4: This means we will subtract 4 from the x-coordinate of point C.

  2. Vertical translation by +3: This means we will add 3 to the y-coordinate of point C.

Let's assume the original coordinates of point C are \((x_C, y_C)\). After the translations, the new coordinates of point C' will be:

\[ C' = (x_C - 4, y_C + 3) \]

If you can provide the original coordinates of point C, I can give you the exact coordinates of C' after the translation. If not, you can use the above formula to calculate it based on the coordinates of C.

Lucy draws a line with the equation y=3x+2 . She translates the line by shifting it one unit to the right and two units up. Which is the equation of the new line?(1 point) Responses y=4x+2 y equals 4 x plus 2 y=5x+3 y equals 5 x plus 3 y=3x+1 y equals 3 x plus 1 y=3x−1

To find the new equation of the line after translating the original line given by \( y = 3x + 2 \) one unit to the right and two units up, we can follow these steps:

  1. Translate Right by 1 unit: This affects the x-coordinate. To translate the line one unit to the right, we can replace \( x \) with \( x - 1 \). Thus, the equation becomes: \[ y = 3(x - 1) + 2 \] Expanding this, we get: \[ y = 3x - 3 + 2 \implies y = 3x - 1 \]

  2. Translate Up by 2 units: Now, we shift the entire line up by 2 units. This means we add 2 to the \( y \)-value: \[ y = (3x - 1) + 2 \implies y = 3x + 1 \]

So the new equation of the line after the translations is: \[ \boxed{y = 3x + 1} \]

This matches one of the response options given.