If the two lengths are 7 and 3, then I believe the length of the hypotenuse would be approximately 7.62.
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!
Answer:
Take the number of weeks as x
12x = 544 - 100
x =444/12
x = 37
Thus it would take her 37 weeks to buy her a laptop
Simplifying
30c + -45d
Factor out the Greatest Common Factor (GCF), '15'.
15(2c + -3d)
Final result:
15(2c + -3d)
Let's say the number is x
75%of x is 15
75%x=15
0.75x=15
x=15/0.75
x=20
or you can say 3/4x=15
x=15*4/3
x=20