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vlabodo [156]
3 years ago
7

Quadrilateral ABCD is graphed on a coordinate plane with the vertices A(-9,-6), B(-4,-6), C(-3,-2), and D(-8,-2). A. Quadrilater

al ABCD is translated to the left 2 units and up 6 units. Write the translation in terms of x and y using ordered pair notation. B. Determine the coordinates of the vertices of the image. Be sure to name each of the vertices of the image with the correct notation.
Mathematics
1 answer:
exis [7]3 years ago
3 0

Answer:

translated :

A'(-11,0)

B'(-6,0)

C'(-5,4)

D'(-10,4)

Step-by-step explanation:

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Taya2010 [7]

Answer:

\frac{2x + 4}{2}  < 6 \\ 2x + 4 < 2 \times 6 \\ 2x + 4 < 12 \\ 2x < 12 - 4 \\ 2x < 8 \\ x <  \frac{8}{2}  \\  \color{blue} \boxed{x < 4}

6 0
3 years ago
Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.
Alexxandr [17]

9514 1404 393

Answer:

  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

5 0
3 years ago
Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represen
Harman [31]

Answer:

Ratio = \frac{2}{3}

Step-by-step explanation:

Given

See attachment

Required

Vertical length / Horizontal length

From the attachment, we have:

y = 4\ units --- the vertical length of the larger triangle

and

x = 6\ units --- the horizontal length of the larger triangle

So, the ratio is:

Ratio = \frac{y}{x}

Ratio = \frac{4\ units}{6\ units}

Ratio = \frac{4}{6}

Divide by 2

Ratio = \frac{2}{3}

4 0
3 years ago
Which of the following is a term, variable, and expression? <br><br> a.21<br> b.ab<br> c.5x2<br> d.h
Annette [7]
The answer is B. A term is a group of numbers and/or variables connected by multiplication. A and b are both variables and it is an expression because there is no equal sign.
8 0
4 years ago
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Can someone please help me ..I can’t get anymore questions wrong or else I will fail I need help
dedylja [7]

Answer:

maybe number 2

Step-by-step explanation:

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