Given:
The inequality is:
![y+2>\dfrac{1}{3}(6x+9)](https://tex.z-dn.net/?f=y%2B2%3E%5Cdfrac%7B1%7D%7B3%7D%286x%2B9%29)
To find:
The inequality after isolating the y-term.
Solution:
We have,
![y+2>\dfrac{1}{3}(6x+9)](https://tex.z-dn.net/?f=y%2B2%3E%5Cdfrac%7B1%7D%7B3%7D%286x%2B9%29)
On simplification, we get
![y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)](https://tex.z-dn.net/?f=y%2B2%3E%5Cdfrac%7B1%7D%7B3%7D%286x%29%2B%5Cdfrac%7B1%7D%7B3%7D%289%29)
![y+2>2x+3](https://tex.z-dn.net/?f=y%2B2%3E2x%2B3)
Subtracting 2 from both sides of the above inequality, we get
![y+2-2>2x+3-2](https://tex.z-dn.net/?f=y%2B2-2%3E2x%2B3-2)
![y>2x+1](https://tex.z-dn.net/?f=y%3E2x%2B1)
Therefore, the required inequality is
.
Hey!
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Formula:
![=\sqrt{(x2 - x1)^2 + (y2 - y1)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28x2%20-%20x1%29%5E2%20%2B%20%28y2%20-%20y1%29%5E2%7D)
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Solution:
![=\sqrt{(3 - 0)^2 + (2 - (-8))^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%283%20-%200%29%5E2%20%2B%20%282%20-%20%28-8%29%29%5E2%7D)
![=\sqrt{(3)^2 + (10)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%283%29%5E2%20%2B%20%2810%29%5E2%7D)
![=\sqrt{9 + 100}\\](https://tex.z-dn.net/?f=%3D%5Csqrt%7B9%20%2B%20100%7D%5C%5C)
![=\sqrt{109}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B109%7D)
≈ 10.44
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Answer:
10.44
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Hope This Helped! Good Luck!
Answer:
16,000
Step-by-step explanation:
Hope this helps
Answer:
D. 12 square feet
Step-by-step explanation:
Multiply 3 × 4 to get 12 and divide by 2 for the top triangle. Then, multiply 3 × 4 for the bottom triangle and get 12 and divide by 2. Add 6+6 to get 12
Y=mx+b
x=number of newspapers
37.5 earned for 5 newspapers
37.5=5m+b
earned 75 and deliverd 20 newpapers
75=20m+b
we have
37.5=5m+b and
75=20m+b
multiply first equaiton by -1 and add to other equaiton
-37.5=-5m-b
<u>75=20m+b +</u>
37.5=15m+0b
37.5=15m
divide both sides by 15
2.5=m
sub back to find b
75=2.5(20)+b
75=50+b
minsu 50 both sides
25=b
y=2.5x+25 is lnear funtion