(-1,5)(2,4)
slope = (4 - 5) / (2 - (-1) = -1/3
y = mx + b
slope(m) = -1/3
use either of ur points (2,4)...x = 2 and y = 4
now sub and find b, the y int
4 = -1/3(2) + b
4 = -2/3 + b
4 + 2/3 = b
12/3 + 2/3 = b
14/3 = b
so ur equation is : y = -1/3x + 14/3....however, this is not ur answer because it is not in standard form.
y = -1/3x + 14/3
1/3x + y = 14/3....multiply both sides by 3
x + 3y = 14 <=== standard form
Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>


A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>


A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
Answer:
The number of rotations completed by tire = 500.
Step-by-step explanation:
The diameter of the tire of toy car = 8 cm
Now, DIAMETER = 2 x RADIUS
So, radius of the tire = D/2 = 8/2 = 4 cm
Now, Circumference of the Circle = 2πr
= 2 x 3.14 x 4 = 25.12 cm
Now, 
= 
The number of rotations completed by circle = 500.
Answer:
Step-by-step explanation:
if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3
5.
x=(-2+4+10)/3=4
y=(6+0+6)/3=4
centroid=(4,4)
6.
x=(3+5-2)/3=2
y=(3-1+1)/3=1
centroid=(2,1)