Answer:
Distance = 7.8 units
Step-by-step explanation:
In coordinate geometry, the distance between the 2 points is given by

where (x1,y1) and (x2,y2) are coordinates of the 2 points.
Above the 2 points given are, (-2,-1) and (3,5).
<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>
<em>
</em>
<em>
</em>
<em>Distance = 7.8102 units</em>
To the nearest tenth, Distance = 7.8 units
Answer:
1.)B
2.)C
I apologize if this answer is wrong.
Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi