If the solution exists, y=y....
3x+2=-x/4+1 make everything have a common denominator of 4...
(12x+8)/4=(-x+4)/4 now multiply both sides by 4
12x+8=4-x add x to both sides
13x+8=4 subtract 8 from both sides
13x=-4 divide both sides by 13
x=-4/13
x≈-0.31 and the only pair in your choices having an x value close to that is:
(-0.3, 1.1)
2x-y = 0 is the correct answer
Step-by-step explanation:
1+2+3+4+5=14 divided by 5=2.8 so, A.would be your answer.
Answer:
![V=34.64\ cm^3](https://tex.z-dn.net/?f=V%3D34.64%5C%20cm%5E3)
Step-by-step explanation:
Given that,
The side of an equilateral prism = 4 cm
The altitude of the prism = 5 cm
We need to find the volume of the prism. The formula for the volume of a prism is as follows :
![V=A\times h](https://tex.z-dn.net/?f=V%3DA%5Ctimes%20h)
Where
A is the area of equilateral triangle, ![A=\dfrac{\sqrt3}{4}a^2](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B%5Csqrt3%7D%7B4%7Da%5E2)
So,
![V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B%5Csqrt3%7D%7B4%7Da%5E2%5Ctimes%20h%5C%5C%5C%5CV%3D%5Cdfrac%7B%5Csqrt3%7D%7B4%7D%5Ctimes%204%5E2%5Ctimes%205%5C%5C%5C%5CV%3D34.64%5C%20cm%5E3)
So, the volume of the prism is equal to
.
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