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4 years ago

Quadrilateral ABCD is reflected over the x-axis to create A′B′C′D′. What are the coordinates of A' ?

Mathematics

2 answers:

nika2105 [10]4 years ago

8 0

Reflecting something over the x-axis is just converting (x,y) to (x,-y). In this case, your answer is (2,4). : )

Mashcka [7]4 years ago

7 0

When you reflect the figure over the x-axis, you should have a new coordinate of (2,4) for A.

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Answer:

f is a line through 0 and (2,3)

g is a line through 0 and (3,2)

Step-by-step explanation:

f and g are proportional linear functions. They each have the form y=mx+b where b=0 and m is a fraction. The m or slope tell us the form the function takes on the graph. It is a straight line through 0 with steepness m.

$f(x)=\frac{3}{2} x$ has steepness 3/2. Starting at (0,0) or the origin, move up three grid lines on the y-axis and then over 2 grid lines. Mark your point at (2,3). Then connect and draw arrows on the end.

$g(x)=\frac{2}{3}x$ has steepness 2/3. Starting at (0,0) or the origin, move up two grid lines on the y-axis and over 3 grid lines. Mark your point at (3,2). Then connect and draw he arrows on the end.

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4 years ago

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3 years ago

Which expression is equivalent to startfraction m minus 4 over m 4 endfraction divided by (m 2) ?

sertanlavr [38]

Rational functions are written as fractions. The expression equivalent to $\frac{\dfrac{m-4}{m+4} }{m+2}$ is $\frac{m-4}{m^2+6m+8}$

<h3>Rational functions</h3>

Given the rational function expressed as:

$\frac{\dfrac{m-4}{m+4} }{m+2}$

This can be further expressed as:

$\frac{m-4}{(m+4(m+2)}$

Factorize the denominator to have;

$\frac{m-4}{m^2+4m+2m+8}\\ \frac{m-4}{m^2+6m+8}$

Hence the expression equivalent to $\frac{\dfrac{m-4}{m+4} }{m+2}$ is $\frac{m-4}{m^2+6m+8}$

Learn more on rational function here: brainly.com/question/1917026

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2 years ago

Describe the graph of a system of equations that has no solution.

Thepotemich [5.8K]

The solution for a system of equations is the value or values that are true for all equations in the system. The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations.

One SolutionNo SolutionsInfinite SolutionsIf the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

When the lines intersect, the point of intersection is the only point that the two graphs have in common. So the coordinates of that point are the solution for the two variables used in the equations. When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

Some special terms are sometimes used to describe these kinds of systems.

The following terms refer to how many solutions the system has.

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