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 
4x² - 16 is the algebraic expression that must be added to get the result as 9x²- 2x - 5.
<u>Step-by-step explanation:</u>
The question is asked for the algebraic expression must be added to the sum of 3x²+4x+8 and 2x2−6x+3 to give 9x²- 2x - 5 as the result.
Therefore,
The first step is to find of sum of 3x²+4x+8 and 2x²-6x+3.
To find the sum :
3x²+4x+8
<u>2x²-6x+3 </u>
<u>5x²-2x+11</u>
The sum is 5x²-2x+11.
Now, the second step is to subtract 5x²-2x+11 from the result 9x²- 2x - 5.
9x²- 2x - 5
- <u>(5x²-2x+11)</u>
<u> 4x² -16 </u>
Thus, 4x²-16 is the algebraic expression that must be added with 5x²-2x+11 to get a result of 9x²- 2x - 5.
Answer:
2 hours
Step-by-step explanation:
first tap= 3hours
therefore work done is = 1/3
second tap= 6hours
therefore work done = 1/6
so, 1/3+ 1/6
=2/6 + 1/6
=3/6
=1/2
=2/1 hours
=2 hours
Answer:
Answer:
x=−1.27794
Step-by-step explanation:
x(x−5)2=x2−52
x3−10x2+25x=x2−52
Step 1: Subtract x^2-52 from both sides.
x3−10x2+25x−(x2−52)=x2−52−(x2−52)
x3−11x2+25x+52=0
Step 2: Use cubic formula.
x=−1.27794
Hope it helps +_+
The area of a triangle is 1/2*base*height so 1/2*10*8 which is equal to 40in²
