Answer: 12x-4, 14 counters, 8 more counters
Step-by-step explanation: There are 2x yellow, 4x+6 red, and 6x-10 blue counters. We need to add all of this up to get the total number of counters. We first add the x's : 2x+4x+6x = 12x. Then we add the numbers. 6+ (-10) is -4. So, our expression is 12x-4. Next, we need to find out how many blue counters are in the bag. We know that there are 44 total counters and we need to find x because all the counters have x in them. 12x-4 = 44. We first add 4 to both sides to get 12x= 48 and x = 4. blue has 6x-10 counters so, blue has 24-10 = 14 counters. Red has 16+6 = 22 counters. 22-14 = 8 more counters
Using the left or right side of triangle, you can conclude that the midsegment will divide the triangle in both midlines of the sides. This means the length of the line would be half of the line below it. The equation would be:
47/4x+2= 94/ 4x+44
4x+44/ 4x+2 = 94/47
4x+ 44 / 4x+2 =2
4x+44 = 2(4x+2)
4x+44 = 8x+4
4x-8x= 4-44
-4x= -40
x= 10
Then the length of midline would be:
4x+2= 4(10)+2= 42
The equation would be:
x≥-4
Answer:
Given that:
=2^(-4/5)
This means that 2 is the base and -4/5 is the exponent.
To change it in radical form:
- firstly the denominator would be written with radical sign
- Then the negative sign with 4 will be removed by inverting the base.
- Then the fraction will be simplified according to the exponent (power)
- All the steps are performed below:
![=\sqrt[5]{2^{-4} } \\=\sqrt[5]{1/2^4}\\ =\sqrt[5]{1/16}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B5%5D%7B2%5E%7B-4%7D%20%7D%20%5C%5C%3D%5Csqrt%5B5%5D%7B1%2F2%5E4%7D%5C%5C%20%3D%5Csqrt%5B5%5D%7B1%2F16%7D)
i hope it will help you!
Answer:
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Step-by-step explanation:
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