Parallel lines have the same slope
The equation of the line is: 
The equation is given as:
The slope intercept form of an equation is:
Where:
By comparison,
The line is said to be parallel to .
This means that the line has a slope of
The equation of the line is then calculated as:
Where:
So, we have:
Substitute values for m, x1 and y1
Open brackets
Hence, the equation of the line is:
See attachment for the graphs of and
Read more about equations of parallel lines at:
brainly.com/question/402319
Answer:
The rule: Adds twice as much as the previous number added
Next number: 38
Step-by-step explanation:
Answer:
length: 23 m; width: 11 m.
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:
l + w = 34
l - w = 12
Adding these together gives you ...
2l = 46
l = 23 . . . . . . divide by 2
Then the width is
w = 23 -12 = 11
The length and width are 23 m and 11 m, respectively.
Answer:
Table B
Vertex is (3,-5)
Step-by-step explanation:
We are given with an equation of a parabola 
Let is convert it into standard form of a parabola
adding and subtracting 9 in the right hand side of the =
the first three terms of the right hand side forms the expression of square of difference
Hence
adding 5 on both sides we get
Comparing it with the standard equation of a parabola
where 
and 
The vertex of will be (0,0)
and thus vertex of
will be (3,-5)
Hence the Table B is our right answer
#1. Step one) we set find what we can multiply by 5 to get 20, so we divide 20 by 5.
20/5 = 4
Step two) we multiply the bottom denominator (8) by 4
8x4=32
Step three) leave the top numerator the same (20) and replace (d) with 32
Answer : 20/32
#2 step one) we divide 14 by 7
14/7 = 2
Step two) divide 10 by 2
10/2=5
Step three) replace z with 5
Answer) 7/5
#3 step one) divide 24 by 8
24/8=3
Step two) divide 21 by 3
21/3 = 7
Step three) replace (x) for (7)
Answer) 7/8
