Answer:
36(2+h)
Step-by-step explanation:
Answer:
Step-by-step explanation:
24
x
2
+
72
x
−
72
Answer:
<h2>x = 4</h2>
Step-by-step explanation:
Use Basic Proportionality Theorem (<em>look at the picture)</em>.
Therefore we have the equation:
![\dfrac{3x-2}{50}=\dfrac{6}{30}\qquad\text{cross multiply}\\\\30(3x-2)=50(6)\qquad\text{use the distributive property}\\\\(30)(3x)+(30)(-2)=300\\\\90x-60=300\qquad\text{add 60 to both sides}\\\\90x=360\qquad\text{divide both sides by 90}\\\\x=4](https://tex.z-dn.net/?f=%5Cdfrac%7B3x-2%7D%7B50%7D%3D%5Cdfrac%7B6%7D%7B30%7D%5Cqquad%5Ctext%7Bcross%20multiply%7D%5C%5C%5C%5C30%283x-2%29%3D50%286%29%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5C%2830%29%283x%29%2B%2830%29%28-2%29%3D300%5C%5C%5C%5C90x-60%3D300%5Cqquad%5Ctext%7Badd%2060%20to%20both%20sides%7D%5C%5C%5C%5C90x%3D360%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2090%7D%5C%5C%5C%5Cx%3D4)
Answer:
![y = \frac{1}{2}x - 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20-%202)
Step-by-step explanation:
Given lines,
y = 2x - 5,
y = -x + 1
Subtracting these two equations,
0 = 3x - 6
![\implies 3x = 6](https://tex.z-dn.net/?f=%5Cimplies%203x%20%3D%206)
![\implies x = \frac{6}{3}=2](https://tex.z-dn.net/?f=%5Cimplies%20x%20%3D%20%5Cfrac%7B6%7D%7B3%7D%3D2)
By first equation,
![y=2(2) -5=4-5 = -1](https://tex.z-dn.net/?f=y%3D2%282%29%20-5%3D4-5%20%3D%20-1)
Thus, point of intersecting would be (2, -1).
Now, the equation of a line is y = mx + c,
Where,
m = slope of the line,
So, the slope of the line
is 1/2.
∵ two parallel lines have same slope.
Hence,
Equation of the parallel line passes through (2, -1),
![y+1=\frac{1}{2}(x-2)](https://tex.z-dn.net/?f=y%2B1%3D%5Cfrac%7B1%7D%7B2%7D%28x-2%29)
![y+1=\frac{1}{2}x - 1](https://tex.z-dn.net/?f=y%2B1%3D%5Cfrac%7B1%7D%7B2%7Dx%20-%201)
![y = \frac{1}{2}x - 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20-%202)
Y is your age
200 - 3y = 2
3y =198
y = 198/3
y=66
answer: you are 66 years old