Answer:
Step-by-step explanation:
1.
![(c+9)^2=64=8^2\\](https://tex.z-dn.net/?f=%28c%2B9%29%5E2%3D64%3D8%5E2%5C%5C)
c+9=±8
either c=8-9=-1
c=-8-9=-17
so c=-1,-17
D
2.
8x^2-3=2
8x^2=5
![x^2=\frac{5}{8}=\frac{10}{16}](https://tex.z-dn.net/?f=x%5E2%3D%5Cfrac%7B5%7D%7B8%7D%3D%5Cfrac%7B10%7D%7B16%7D)
![x=±\frac{\sqrt{10}}{4}](https://tex.z-dn.net/?f=x%3D%C2%B1%5Cfrac%7B%5Csqrt%7B10%7D%7D%7B4%7D)
so A
3.
![x^2+4x+4=18\\(x+2)^2=9*2\\x+2=3\sqrt{2} \\x=-2 ±3\sqrt{2}](https://tex.z-dn.net/?f=x%5E2%2B4x%2B4%3D18%5C%5C%28x%2B2%29%5E2%3D9%2A2%5C%5Cx%2B2%3D3%5Csqrt%7B2%7D%20%5C%5Cx%3D-2%20%20%C2%B13%5Csqrt%7B2%7D)
so D
or
Plot the point first and then use the slope from that point<span> - 3270801. ... </span>Plot the point first and then use the slope from that point (-4,3<span>) </span>M=-1/2<span>. 0</span>
For this use the law of sines:
![\sin( \alpha ) \div a = \sin( \beta ) \div b \\ \sin( \alpha ) \div 11 = \sin(103) \div 16](https://tex.z-dn.net/?f=%20%5Csin%28%20%5Calpha%20%29%20%5Cdiv%20a%20%3D%20%5Csin%28%20%5Cbeta%20%29%20%5Cdiv%20b%20%5C%5C%20%5Csin%28%20%5Calpha%20%29%20%5Cdiv%2011%20%3D%20%5Csin%28103%29%20%5Cdiv%2016)
![\frac{ \sin( \alpha ) }{11} = \frac{0.97}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csin%28%20%5Calpha%20%29%20%7D%7B11%7D%20%3D%20%5Cfrac%7B0.97%7D%7B16%7D%20)
cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:
![{ \sin}^{ - 1} (0.67) = 42.06 = 42.1 \: deg](https://tex.z-dn.net/?f=%7B%20%5Csin%7D%5E%7B%20-%201%7D%20%280.67%29%20%3D%2042.06%20%3D%2042.1%20%5C%3A%20deg)
therefore answer B. 42 is the correct answer!!
<h2>For the number 1<u>.</u><u>.</u></h2>
<h2><u>angle </u><u>at </u><u>center </u><u>=</u><u> </u><u>2</u><u>×</u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>at </u><u>circumference</u></h2><h2><u>the </u><u>angle </u><u>at </u><u>center </u><u>(</u><u>o)</u><u> </u><u>is </u><u>equal</u><u> </u><u>to</u><u> </u><u>1</u><u>4</u><u>1</u></h2>
<u>therefore:</u>
<h2><u>1</u><u>4</u><u>1</u><u> </u><u>=</u><u> </u><u>2</u><u>x</u></h2><h2><u>divide</u><u> </u><u>both </u><u>sides </u><u>by </u><u>2</u></h2><h2><u>x </u><u>=</u><u> </u><u>7</u><u>0</u><u>.</u><u>5</u></h2>
<u>option</u><u> </u><u>(</u><u>A)</u><u>.</u>
<u>(</u><u> </u><u>the </u><u>number </u><u>2</u><u> </u><u>and </u><u>3</u><u> </u><u>questions</u><u> </u><u>aren't</u><u> </u><u>correct </u><u>)</u>