Answer:
Table D
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
<em>Table A</em>
For x=1, y=3
Find the value of k
----->
For x=2, y=9
Find the value of k
----->
the values of k are different
therefore
The table A not represent a direct variation
<em>Table B</em>
For x=1, y=-5
Find the value of k
----->
For x=2, y=5
Find the value of k
----->
the values of k are different
therefore
The table B not represent a direct variation
<em>Table C</em>
For x=1, y=-18
Find the value of k
----->
For x=2, y=-9
Find the value of k
----->
the values of k are different
therefore
The table A not represent a direct variation
<em>Table D</em>
For x=1, y=4
Find the value of k
----->
For x=2, y=8
Find the value of k
----->
For x=3, y=12
Find the value of k
----->
All the values of k are equal
therefore
The table D represent a direct variation or proportional relationship
The linear equation is
The slope of a line going through points (5,7) and (3,1) is 6/2 so 3/1 = slope of 3
x^2 - 49 = 0
Add 49 to both sides:
x^2 = 49
Take the square root of both sides:
X = 7
Answer:
m=1
Step-by-step explanation:
2m+7=9
subtract 7 on both sides
2m=2
divide 2 on both sides
m=1
hope it helped
Answer:
160 cm
Step-by-step explanation:
a square has 4 equal sides. if one of the sides is 40 cm, then all of the other sides are 40 cm as well. to get a perimeter, you add up the lengths of all the sides. if there are 4 sides of 40 cm, you multiply 40 by 4 to get 160, finally add the unit to get 160 cm.