Answer:
the correct answer in the 5 untils 2 untils 2 untils 3 untils 2 untils
Step-by-step explanation:
since the point (4,13) is on the circle, then the distance from the center to it, is the radius of the circle.
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{13})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[4-(-2)]^2+[13-5]^2}\implies r=\sqrt{(4+2)^2+(13-5)^2} \\\\\\ r=\sqrt{36+64}\implies r=\sqrt{100}\implies r=10 \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_1%7D%7B-2%7D~%2C~%5Cstackrel%7By_1%7D%7B5%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B4%7D~%2C~%5Cstackrel%7By_2%7D%7B13%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bradius%7D%7Br%7D%3D%5Csqrt%7B%5B4-%28-2%29%5D%5E2%2B%5B13-5%5D%5E2%7D%5Cimplies%20r%3D%5Csqrt%7B%284%2B2%29%5E2%2B%2813-5%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20r%3D%5Csqrt%7B36%2B64%7D%5Cimplies%20r%3D%5Csqrt%7B100%7D%5Cimplies%20r%3D10%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-2}{ h},\stackrel{5}{ k})\qquad \qquad radius=\stackrel{10}{ r}\\[2em] [x-(-2)]^2+[y-5]^2=10^2\implies (x+2)^2+(y-5)^2=100](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bequation%20of%20a%20circle%7D%5C%5C%5C%5C%20%28x-%20h%29%5E2%2B%28y-%20k%29%5E2%3D%20r%5E2%20%5Cqquad%20center~~%28%5Cstackrel%7B-2%7D%7B%20h%7D%2C%5Cstackrel%7B5%7D%7B%20k%7D%29%5Cqquad%20%5Cqquad%20radius%3D%5Cstackrel%7B10%7D%7B%20r%7D%5C%5C%5B2em%5D%20%5Bx-%28-2%29%5D%5E2%2B%5By-5%5D%5E2%3D10%5E2%5Cimplies%20%28x%2B2%29%5E2%2B%28y-5%29%5E2%3D100)
Answer:
-3
Step-by-step explanation:
f(-2) = (-2)^2 + 10 = 14 -> (-2, 14)
f(-1) = (-1)^2 + 10 = 11 -> (-1, 11)
(11-14)/(-1-(-2)) = -3/1 = -3
Answer:
30.5
Step-by-step explanation:
Angle B = Angle D (Alt. Exterior)
61 = 2x
61/2 = 30.5
3x+1/10=x-1/7
subtract 1/10 from both sides
3x=-1/7-1/10+x
subtract x from both sides
2x=-1/7-1/10
add -1/7 and -1/0
1/7=10/70
1/10=7/70
-10/70-7/70=-17/70
2x=-17/70
divide by 2 ro multiply by 1/2
x=-17/140
