Answer:
a=4 and b = 0
Step-by-step explanation:
Given : 
To find, The value of a and b
Solution,
Solving LHS of the given equation,

Since,

So,

or

On comparing we get :
a = 4 and b = 0
Answer:
- A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
- On a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds. A line goes through points (5, 4) and (15, 12).
Step-by-step explanation:
<u>Statement 1</u>
If 3 cans of beans weigh 2.4 pounds
Then 1 Can will weigh (2.4 ÷ 3)=0.8 Pounds
If y is the total weight of x number of cans, then: y=0.8x
<u>Statement 2</u>
If x=5, then y=0.8(5)=4
If x=15, then y=0.8(15)=12
If x=20, then y=0.8(20)=16
Therefore the below statement applies:
A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
<u>Statement 3</u>
From the pair of points above, we have (5,4) and (15,12). Therefore if on a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds.) A line goes through points (5, 4) and (15, 12).
Answer:

it must always have one of the sign
X equals the square root of 6-x
x= the eqaution for number 2
One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel
<h3><u>Solution:</u></h3>
Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.
We have to prove that the lines are parallel.
If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.
Now, the 1st angle will be 1/6 of right angle is given as:

And now, 15 degrees is 11 times smaller than the other
Then other angle = 11 times of 15 degrees

Now, sum of angles = 15 + 165 = 180 degrees.
As we expected their sum is 180 degrees. So the lines are parallel.
Hence, the given lines are parallel