First you need to multiply the number on the outside of the parentheses to what's inside. Then you need to subtract 1440 from both sides. After that you need to get all of the u's on one side so you subtract 256u from -160u and then you divide 832 by 96.
Answer:
![(a)\ \sqrt{20}=2\sqrt{5}](https://tex.z-dn.net/?f=%28a%29%5C%20%5Csqrt%7B20%7D%3D2%5Csqrt%7B5%7D)
![(b)\ \sqrt{300} = 10 \sqrt{3}](https://tex.z-dn.net/?f=%28b%29%5C%20%5Csqrt%7B300%7D%20%3D%2010%20%5Csqrt%7B3%7D)
![(c)\ \sqrt{128} = 8 \sqrt{2}](https://tex.z-dn.net/?f=%28c%29%5C%20%5Csqrt%7B128%7D%20%3D%208%20%5Csqrt%7B2%7D)
Step-by-step explanation:
Required
Simplify
![(a)\ \sqrt{20}](https://tex.z-dn.net/?f=%28a%29%5C%20%5Csqrt%7B20%7D)
Express 20 as 4 * 5
![\sqrt{20}=\sqrt{4 * 5}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D%3D%5Csqrt%7B4%20%2A%205%7D)
Split
![\sqrt{20}=\sqrt{4} * \sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D%3D%5Csqrt%7B4%7D%20%2A%20%5Csqrt%7B5%7D)
This gives:
![\sqrt{20}=2 * \sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D%3D2%20%2A%20%5Csqrt%7B5%7D)
![\sqrt{20}=2\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D%3D2%5Csqrt%7B5%7D)
![(b)\ \sqrt{300](https://tex.z-dn.net/?f=%28b%29%5C%20%5Csqrt%7B300)
Express as 100 * 3
![\sqrt{300} = \sqrt{100} * \sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B300%7D%20%3D%20%5Csqrt%7B100%7D%20%2A%20%5Csqrt%7B3%7D)
This gives:
![\sqrt{300} = 10 * \sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B300%7D%20%3D%2010%20%2A%20%5Csqrt%7B3%7D)
![\sqrt{300} = 10 \sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B300%7D%20%3D%2010%20%5Csqrt%7B3%7D)
![(c)\ \sqrt{128}](https://tex.z-dn.net/?f=%28c%29%5C%20%5Csqrt%7B128%7D)
Express as 64 * 2
![\sqrt{128} = \sqrt{64*2}](https://tex.z-dn.net/?f=%5Csqrt%7B128%7D%20%3D%20%5Csqrt%7B64%2A2%7D)
Split
![\sqrt{128} = \sqrt{64} * \sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B128%7D%20%3D%20%5Csqrt%7B64%7D%20%2A%20%5Csqrt%7B2%7D)
![\sqrt{128} = 8 * \sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B128%7D%20%3D%208%20%2A%20%5Csqrt%7B2%7D)
![\sqrt{128} = 8 \sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B128%7D%20%3D%208%20%5Csqrt%7B2%7D)
<em></em>
<em>Questions 4 and 5 are not clear</em>
<em>Follow the steps in 1 - 3 to solve 4 and 5</em>
The temperature went up by 33° fahrenheit because -8+8=0 and 0+25= 25 so 8+25=33
Answer:
b = 3/4
Step-by-step explanation:
Hi!!!
You want the value of B. To get that, we have to divide both sides by 16:
![\frac{16}{16}b =\frac{12}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B16%7Db%20%3D%5Cfrac%7B12%7D%7B16%7D)
![\frac{12}{16} = \frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B16%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Thus the answer to your question is
.
<u>Check:</u>
3/4 * 16 = 3 * 4 = 12.
12 = 12
So we are correct!!!