Distance between 2 points formula: √(x2 − x1)² + (y2 − y1)²
= √(7 - (-3))² + (-1 - 5)²
= √10² + -6²
= √100 + 36
= √136
≈ 11.662 (Note that this number is rounded because its a a non-terminating decimal).
Best of Luck!
3x + 8 = 3x + []
Subtract 3x from both sides.
[] = 8
If you want no values of x, it can be any positive value other than 8.
If you want all values of x, the value must be 8.
If you want only one value of x, it is impossible because both equations have the same slope.
1:3, Because you can simplify the numbers by dividing by two.
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:

The answer is
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:

<em>rounding to the nearest whole number, it is </em>151 units^2
Answer:
AB represents a line segment because the points limit the line from continuing on either end.
If you include the ray on the left side, then it would be considered a ray.