Slope = (7 + 2)/(-18 + 4) = 9/-14= - 9/14
1. <span>true
example:
2+3=3+2
5=5
2. </span><span>true
</span>example:
3*4=4*3
12=12
<span>
3. false
</span>example:
6-3=3-6
3≠-3
<span>
4. </span><span>true
</span>example:
(4 + 3) + 2= 4 + (3 + 2)
7 + 2 = 4 + 5
9 = 9
<span>
5. false
</span>example:<span>
(9 - 6) - 3 = 9 - (6 - 3)
</span>3 - 3 = 9 - 3
0 ≠ 6
6. true
example:
<span>2(3+4)= 2*3+2*4
2 * 7 = 6 + 8
14 = 14</span>
Answer:
[/tex]
Step-by-step explanation:
1. ![\sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B96%7D%20%2A%5Csqrt%7B6%7D%2A%202%2A%5Csqrt%7B6%7D%2A4%20%2A%5Csqrt%7B6%7D%20%2A4%2A%5Csqrt%7B3%7D)
2.
<em>factoring 96</em>
<em>since
</em>
3. ![\sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B2%5E%7B5%7D%20%7D%20%5Csqrt%7B3%7D%5Csqrt%7B6%7D%20%2A2%5Csqrt%7B6%7D%2A4%5Csqrt%7B6%7D%2A4%5Csqrt%7B3%7D)
<em>using exponent rule -
</em>
<em>
</em>
4. ![2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}](https://tex.z-dn.net/?f=2%5E%7B5%2F2%7D%5Csqrt%7B3%7D%5Csqrt%7B2%2A3%7D%20%2A2%5Csqrt%7B6%7D%2A4%5Csqrt%7B6%7D%2A4%5Csqrt%7B3%7D)
<em>doing some simple simplification and
and 6=2*3</em>
5. ![2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}](https://tex.z-dn.net/?f=2%5E%7B5%2F2%7D%20%5Csqrt%7B3%7D%20%5Csqrt%7B2%7D%20%5Csqrt%7B3%7D%20%2A2%5Csqrt%7B2%7D%20%5Csqrt%7B3%7D%20%2A2%5E%7B2%7D%5Csqrt%7B2%7D%20%5Csqrt%7B3%7D%2A4%5Csqrt%7B3%7D)
<em>collecting the roots on one side and applying exponent rule</em>
6. ![\sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%5Csqrt%7B3%7D%5Csqrt%7B3%7D%20%5Csqrt%7B3%7D%5Csqrt%7B2%7D%20%5Csqrt%7B2%7D%5Csqrt%7B2%7D%20%2A2%5E%7B5%2F2%2B1%2B2%2B2%7D%20%5Csqrt%7B3%7D)
<em>Applying exponents rule on all
and
</em>
<em>7.
</em>
<em>combining all powers of 2</em>
8. ![2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}](https://tex.z-dn.net/?f=2%5E%7B1%2F2%2B1%2F2%2B1%2F2%2B5%2F2%2B1%2B2%2B2%7D%2A3%5E%7B1%2F2%2B1%2F2%2B1%2F2%2B1%2F2%2B1%2F2%7D)
<em>Simplifying</em>
9. ![2^{9} *3^{2}\sqrt{3}](https://tex.z-dn.net/?f=2%5E%7B9%7D%20%2A3%5E%7B2%7D%5Csqrt%7B3%7D)
10. ![512*9\sqrt{3}](https://tex.z-dn.net/?f=512%2A9%5Csqrt%7B3%7D)
11. ![4608\sqrt{3}](https://tex.z-dn.net/?f=4608%5Csqrt%7B3%7D)
Answer:
2.5 ft.
Step-by-step explanation:
The area of the side of each smaller square = 100 / 16 sq ft.
= 6.25 sq feet.
So the length of each smaller square = square root of 6.25
= 2.5 ft.