Answer:
x < 7
Step-by-step explanation:
the domain is the number range or interval of x the function is defined for to generate a y-value.
the graph shows that the y-values continue with x-values to the right up to but not including 7 (the empty dot says "excluding"). and with x- values to the left to negative infinity.
x=-1 is not a problem, because while for the left part of the function it is not included, but for the right part it is.
so, it is fully defined for all x < 7.
Answer:
C. The triangles are not similar.
Step-by-step explanation:
Divide the short sides and long sides to see if they are similar:
24/16 = 1.5
36/28 = 1.29
The triangles are not similar.
Answer:
√3
Step-by-step explanation:
The given expression to be simplified is
![2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B27%7D%2B%5Csqrt%7B12%7D-3%5Csqrt%7B3%7D-2%20%5Csqrt%7B12%7D)
but
![2 \sqrt{27}=2\sqrt{9 \times 3}=2 \times \sqrt{9}\times \sqrt{3}=2 \times 3 \times\sqrt{3}=6 \sqrt{3}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B27%7D%3D2%5Csqrt%7B9%20%5Ctimes%203%7D%3D2%20%5Ctimes%20%5Csqrt%7B9%7D%5Ctimes%20%5Csqrt%7B3%7D%3D2%20%5Ctimes%203%20%5Ctimes%5Csqrt%7B3%7D%3D6%20%5Csqrt%7B3%7D%20)
![\sqrt{12}=\sqrt{4\times3}= \sqrt{4}\times \sqrt{3}=2\sqrt{3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B12%7D%3D%5Csqrt%7B4%5Ctimes3%7D%3D%20%5Csqrt%7B4%7D%5Ctimes%20%5Csqrt%7B3%7D%3D2%5Csqrt%7B3%7D%20%20%20%20)
Since √12=2√3,this implies that,
![2\sqrt{12}=2\times2\sqrt{3}=4 \sqrt{3}](https://tex.z-dn.net/?f=2%5Csqrt%7B12%7D%3D2%5Ctimes2%5Csqrt%7B3%7D%3D4%20%5Csqrt%7B3%7D%20%20%20)
Therefore,
![2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}=6\sqrt{3}+2\sqrt{3}-3 \sqrt{3} -4\sqrt{3}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B27%7D%2B%5Csqrt%7B12%7D-3%5Csqrt%7B3%7D-2%20%5Csqrt%7B12%7D%3D6%5Csqrt%7B3%7D%2B2%5Csqrt%7B3%7D-3%20%5Csqrt%7B3%7D%20-4%5Csqrt%7B3%7D%20)
![=(6+2-3-4)\sqrt{3}](https://tex.z-dn.net/?f=%20%3D%286%2B2-3-4%29%5Csqrt%7B3%7D%20)
![=\sqrt{3}](https://tex.z-dn.net/?f=%20%3D%5Csqrt%7B3%7D%20)
The simplified form of ,
is √3
Diameter of the larger gear х см
1/4х = 16 - 2.5
1/4x = 13.5
x = 13.5 * 4
x = 54 cm - diameter of the larger gear /
Answer:
5
Step-by-step explanation:
ID.K if I am right, tell me