Solve the given system of equations using any method and then choose the correct ordered pair from the given choices:
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<span>The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).
A rotation translation must be used to make the two polygons coincide.
A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D </span>
<span>The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).
A rotation translation must be used to make the two polygons coincide.
A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D </span>
Answer:
<h2>Y=1/2x-1</h2>Find where the expression
1/2x−1 is undefined.
x=1/2
Consider the rational function
R(x)=ax^n/bx^m where n is the degree of the numerator and m is the degree of the denominator.
1. If n<m, then the x-axis, y=0, is the horizontal asymptote.
2. If n=m, then the horizontal asymptote is the line y = ab.
3. If n>m, then there is no horizontal asymptote (there is an oblique asymptote).
Find n and m.n=0m=1
Since n<m, the x-axis, y=0, is the horizontal asymptote.y=0
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x=1/2
Horizontal Asymptotes:
y=0
No Oblique Asymptotes
<h2>2x+y=4</h2>Subtract 2x from both sides of the equation.
y=4−2x
Rewrite in slope-intercept form.
The slope-intercept form is
y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder 4 and −2x.
y=−2x+4
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form
y=mx+b.
m= - 2b=4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: −2
y-intercept: (0,4)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y
values.
Find the x-intercept.
x-intercept(s):
(2,0)
Find the y-intercept.
y-intercept(s):
(0,4)
Create a table of the x and y values.
x y
0 4
2 0
Graph the line using the slope and the y-intercept, or the points.
Slope: −2
y-intercept:
(0,4)
Step-by-step explanation:
Hope it is helpful...
