If you divide (6x +3) by (x +1) you get some quotient and some remainder. You can do it a variety of ways, including synthetic division and long division. The method used here is to rewrite 6x+3 as a multiple of x+1 with some constant term added.
.. 6x +3 = (6x +3) +3 -3
.. = (6x +3 +3) -3
.. = (6x +6) -3
.. = 6(x +1) -3
Now, you can divide this by (x +1) and you have
Then the boxes can be filled from ...
You know that
.. f(x) +6
represents a translation of f(x) by 6 units up
And you know that
.. f(x +1)
represents a translation of f(x) by 1 unit left
So, you can figure that
.. g(x) = f(x +1) +6
will represent a translation of 1 unit left and 6 units up of f(x) = -3/x.
Answer: -30
Step-by-step explanation:
Answer:
<em>The number is 46</em>
Step-by-step explanation:
<u>Equations</u>
Suppose:
a = One digit of the number
b = Tens digit of the number
The sum of the digits is 10:
a + b = 10
The number expressed as two-digits quantity is ab, and its value is
10a+b
When we add 18 to that number, we have:
10a+b+18
And that is represented as the number reversed:
10a+b+18=10b+a
Simplifying:
9a+18=9b
Dividing by 9:
a + 2 = b
Substituting in the first equation:
a + a + 2 = 10
2a = 8
a = 4
b = a + 2 = 6
Thus the number is 46
Answer:
d = 12
Step-by-step explanation:
In intercept form, the equation of the plane is ...
x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c
You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...
x/2 +y/3 +z/4 = 1
Multiplying by 12 gets rid of the fractions and puts the equation in standard form:
6a +4y +3z = 12
The value of d is 12.
<h3>Answers: </h3>
Angle 1 and 3: Vertical Angles
Angle 4 and 8: Corresponding Angles
Angles 4 and 6: Alternate Interior Angles
Angles 3 and 5: Alternate Interior Angles
Angles 7 and 8: Linear Pair
Angles 1 and 7: Alternate Exterior Angles
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Explanation:
Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.
Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.
Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.
A linear pair of angles are adjacent and supplementary (meaning they add to 180).
