Answer:
1.
1/2/3/4/5/32
3/6/9/12/15/96
2.
1/2/3/4/5/12
8/16/24/32/96
3.
2/4/6/8/10/12
3/6/9/12/15/18
Step-by-step explanation:
ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck
<span>Simplifying
4x2 + -24x + 4y2 + 72y = 76
Reorder the terms:
-24x + 4x2 + 72y + 4y2 = 76
Solving
-24x + 4x2 + 72y + 4y2 = 76
Solving for variable 'x'.
Reorder the terms:
-76 + -24x + 4x2 + 72y + 4y2 = 76 + -76
Combine like terms: 76 + -76 = 0
-76 + -24x + 4x2 + 72y + 4y2 = 0
Factor out the Greatest Common Factor (GCF), '4'.
4(-19 + -6x + x2 + 18y + y2) = 0
Ignore the factor 4.
</span><span>Subproblem 1
Set the factor '(-19 + -6x + x2 + 18y + y2)' equal to zero and attempt to solve:
Simplifying
-19 + -6x + x2 + 18y + y2 = 0
Solving
-19 + -6x + x2 + 18y + y2 = 0
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
The solution to this equation could not be determined.</span>
Answer:
![y=-\frac{1}{4}x+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx%2B2)
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>
![y=-\frac{1}{4} x+3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7D%20x%2B3)
We can identify clearly that the slope of the line is
, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be
. Plug this into
:
![y=-\frac{1}{4}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx%2Bb)
<u>2) Determine the y-intercept of line S (b)</u>
![y=-\frac{1}{4}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx%2Bb)
Plug in the given point (-4,3) and solve for b
![3=-\frac{1}{4}(-4)+b\\3=1+b](https://tex.z-dn.net/?f=3%3D-%5Cfrac%7B1%7D%7B4%7D%28-4%29%2Bb%5C%5C3%3D1%2Bb)
Subtract 1 from both sides to isolate b
![3-1=1+b-1\\2=b](https://tex.z-dn.net/?f=3-1%3D1%2Bb-1%5C%5C2%3Db)
Therefore, the y-intercept is 2. Plug this back into
:
![y=-\frac{1}{4}x+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx%2B2)
I hope this helps!
To find the lowest common denominator you need to know the factors of 5 and 11.
So make two lists:
5, 10, 15, 20, 25, 30, and so on.
11, 22, 33, 44, 55, 66, and so on.
Keep doing that until you find the lowest common number in the lists. The LCD will be 55.
Answer:
huh
Step-by-step explanation: