Answer:
Center (-5,4) radius 3
Step-by-step explanation:
The standard equation of a circle is
(x-h)^2+(y-k)^2=r^2
where the center is (h,k) and r is the radius
so h=-5 in this case and k is 4
r^2=9 so r=3
The value of x in the given sector is determined as 7.1.
<h3>Area of the sector</h3>
Total area of the sector = area of the shaded + area of the unshaded
Since shaded and unshaded areas are equal, the value of x is calculated as follows;
πr²θ/360 = πx²60/360 + πx²60/360
πr²θ/360 = 2(πx²θ/360)
πr² = 2(πx²)
r² = 2x²
x² = r²/2
x² = (10²)/2
x² = 50
x = √50
x = 7.1
Thus, the value of x in the given sector is determined as 7.1.
Learn more about area of sector here: brainly.com/question/22972014
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Answer:

Step-by-step explanation:
We have been given the intersection coordinates:
(7,1,-6) and perpendicular to the line x=-1+t ,y=-2+t and z=-1+t
From the condition of perpendicularity we know:


Now, we have given x=-1+t , y=-2+t and z= -1+t





Now, substituting t in the given coordinates x,y and z we get:


And 
Answer:
8 1/4
Step-by-step explanation:
- 3.9 / 1.3 = - 3/1 = - 3
Calculation Steps:
Conversion:
3.9 = 39/10
Unary Minus:
- 3.9 = - 39/10
Conversion:
1.3 = 13/10
Divide:
- 39/10 : 1.3
= - 39/10 * 10/13
= - 39 * 10/ 10 * 13
= - 390/130
= - 3
Answer: - 3
Hope that helps!!!! Answer: - 3