Answer and explanation:
To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:
=x(x-2/x)+x(x+2/x)+x(3)< 3/2
=x-2+x+2+3x < 3/2
=5x < 3/2
x < 3/2/5
x < 3/2×5/1
x < 15/2
x < 7 1/2 or 7. 5
Y=12 because the triangles have proportional side lengths
Answer:
<em>40%</em>
Step-by-step explanation: <em>2 divided by 5 is 0.4 so that is 40%</em>
Answer:y = -4
Step-by-step explanation: In order to find the slope by these two points, (6,-4), and (-4,-4), you must use the slope formula:
rise/run, which is this case, is y2-y1 / x2 - x1 <--- this is the slope formula
Let 6 be x2, -4 be x1, y2 be -4, and y1 being -4, plug these numbers in.
-4-(-4) / 6- (-4)
-4 + 4/ 6 +4
0/10 The slope of the line is zero, with a y-axis at -4. We know this because there is a zero in the final result and the y- coordinate between (6,-4) and (-4,-4) do not change in the slightest.
The final answer is then y = -4
To reduce the radical, you have to factorize 108.
108 is a multiple of 3, so to factorize it, you can divide it by 3
You can rewrite the square root as:
![\sqrt[]{3\cdot36}=\sqrt[]{3}\cdot\sqrt[]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B3%5Ccdot36%7D%3D%5Csqrt%5B%5D%7B3%7D%5Ccdot%5Csqrt%5B%5D%7B36%7D)
The square root of 36 is equal to 6 so you can write the expression as:
![\sqrt[]{3}\cdot\sqrt[]{36}=6\sqrt[]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B3%7D%5Ccdot%5Csqrt%5B%5D%7B36%7D%3D6%5Csqrt%5B%5D%7B3%7D)
