Answer:
Perpendicular lines have slope that are negative reciprocals.
The slope of the perpendicular line is M = -1/3.
Step-by-step explanation:
(4,-1) --> X = 4, Y = -1, M = -1/3
y = Mx + b
-1 = (-1/3)*4 + b
-1 = (-4/3) + b
-3/3 = (-4/3) + b
-3 = -4 + 3b
1 = 3b
b = 1/3
y = (-1/3)X + 1/3
Answer:
55.93°
Step-by-step explanation:
In this problem, we need to find the cos ratio of x, the ratio of the adjacent side of x to the hypotenuse.
The adjacent side of x is 14 and the hypotenuse is 25.
cos x=14/25=0.56=cos 55.93°
Answer:
H= 11
Step-by-step explanation:
231 = h x 7 x 3
231 = 21h
/21 /21
H=11
Answer:
1. Area of rectangular rug is 
2. Area of triangular room is 
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as

substituting our given data we have

step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as

substituting our given data we have

Answer:
Step-by-step explanation:
A) 4x + 6 = 2x - 12
Subtract 6 from both sides
4x + 6 - 6 = 2x - 12 -6
4x = 2x - 18
Subtract 2x form both sides
4x - 2x = 2x - 18 - 2x
2x = -18
B) 24 = 6x - 18
6x - 18 = 24
6x - 6*3 = 24
6(x - 3) = 24
Divide both sides by 6

x - 3 = 4