Answer:

Step-by-step explanation:
Since the quotient is the result of the division of two terms, we should end up with a fraction, which represents division.
To start, we'll have to pick a letter to represent the number referenced in the question simply as "a number". I picked
.
The quotient of
and four would be
divided by four. This <em>could</em> be written as
÷ 4, but I think it works better as a fraction:

Therefore, the quotient of a number and four, where the number is represented by
is
.
Answer:
Hello!
First you will want to get both of equations into slope-intercept form. That way, you can easily determine the y-intercept of the first equation and the slope of the second equation.
When 2 lines have the same slope, that means they will be parallel.
y+4x-10=0 ; add 10 to each side
y+4x=10 ; subtract 4x from each side
y = -4x + 10 ; y-intercept = 10
1x + 7y = 6 ; subtract 1x from each side
7y = -1x + 6 ; divide both sides by 7
y = -1/7 x + 6/7 ; slope = -1/7
So, a line with the same y-intercept as the first, and same slope (parallel) as the second would have the equation:
y = -1/7x + 10
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Let's say Mark is M and his brother is B.
M+5=B
M+B=23
Now we can solve using subsitution.
M+M+5=23
(Subtract 5 from both sides)
2M=18
M=9
Hope this helped!
Answer:
T(x, y) = (x - 5, y - 6)
Step-by-step explanation:
The transformation T is a translation that creates an image P' of original point P by adding 5 to the x-coordinate and 6 to the y-coordinate of the original point P.
Now you want to transform point P' into point P, so you are undoing the first transformation. You need to do the opposite of what the transformation above does. You need to subtract 5 from the x-coordinate and subtract 6 from the y-coordinate.
Answer: T(x, y) = (x - 5, y - 6)
The answer is 169 because 180-11=169