Answer:
-2
Step-by-step explanation:
24 - 4x =32
-4x =32 - 24
-4x=8
x=-8 :4
x=-2
Answer:
22.2 ft²
Step-by-step explanation:
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 7.13² × 
= 
≈ 22.2 ft² ( nearest tenth )
L1: 2x+4y-3=0 ..........(1)
P: (2,0)
The point on the line L1 closest to the given point P is at the intersection of L1 with L2, which is the perpendicular passing through P.
Slope of L1=-2/4=-1/2
Slope of L2=-1/(-1/2)=2
Since it passes throug P(2,0), we can use the point-slope formula:
(y-0)=2(x-2) =>
L2: 2x-y-4=0.............(2)
Solve for x & y using (1) and (2) to get intersection point required:
(1)-(2)
2x-2x + 4y-(-y) -3 -(-4) =0
5y=-1, y=-1/5
Substitute y=1/5 in equation (1)
2x+4(-1/5)-3=0 =>
2x-19/5=0
x=19/10
=> the point on L1 closest to (2,0) is (19/10, -1/5)
Answer:
3
16 + 25 = 49
1
a^2 + b^2 = c^2
4
41 ≠ 49
2
4^2 + 5^2 = 7^2
Step-by-step explanation:
