Answer:
So the answer is 
Step-by-step explanation:
Given,
Using 
four times and 
one time getting to 
If we are write this way then easily get the answer;
Add together 
by making a common denominator of and also add 
in the second set of parenthesis to yield 
(By Cross-reduce and multiply the fractions)
∴
Answer: (x + 6)² + (y + 5)² = 17
Explanation:
1) The equation of a circle is: (x - a)² + (y - b)² = r², wnere:
a is the x-coordinate of the center of the circleb is the y-coordinate of the center of the circler is the radius of the circle
2) Since the points (-7,-1) and (-5,9) define a diameter, you can find the center of the circle as the mid point of the diameter:
x-coordinate of the mid point = (-7 - 5) / 2 = - 12 / 2 = - 6
y-coordinate of the mid point = (-9 - 1)/ 2 = - 10 / 2 = - 5
Therefore, the center of the circle is (-6,-5)
3) The radius of the center is half the diameter.
The length of the diameter is found using the formula for the distance between two points applied to the two endopoints given:
diameter² = (7 - 5)² + (- 1 + 9)² = 2² + 8² = 4 + 64 = 68
⇒diameter = √68 = 2√17
⇒ radius = diamter / 2 = 2√17 / 2 = √17
4) Now you can replace the coordinates of the center and the radius into the equation:
(x + 6)² + (y + 5)² = 17
Answer:
x+7
Step-by-step explanation:
So it's been a while since I took Geometry, so I don't know what principle makes these angles equal to each other, but I know that they are in fact equal. So that means that 6x +3 = 45. Subtract 3 from each side gets you 42+6x, then divide each side by 6, which gets you your answer of x=7.
Answer:
the answer is E
Step-by-step explanation:
hope this helps!
<span> binomdist with n = 3, p = 0.82, q = 1-0.82 = 0.18
P[≥2] = P[2] + P[3] = 3c2 *0.82^2*0.18 + 0.82^3 ≈ 91%
hope it helps
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