Answer:
D
Step-by-step explanation:
Here, we want to get the equation of the line perpendicular to;
y = -3x + 2
From here, we can compare with the standard form of the equation of a straight line which is;
y = mx + c
From here m = -3
The slope is -3
Now, if two lines are perpendicular, the product of their slopes is -1
Thus;
-3 * m = -1
m = 1/3
So we want to select an equation out of the options that has a slope of 1/3
Let us take a look at the last option
x -3y = 3
3y = x-3
divide through by 3
y = x/3-1
So here the coefficient of x is 1/3 which is the slope of the perpendicular line that we are looking for and is our slope
Answer:
Area = 140 sq. ft
Step-by-step explanation:
Divide the figure into two shapes: rectangle and triangle.
Solve the area of the triangle first:
A = 1/2 bh
A = 1/2 (6)(4)
A = 1/2 (24)
A = 12
Solve the area of rectangle:
A = lw
A = (8)(16)
A = 128
Area of figure = area of triangle + area of rectangle
Area of figure = 12 + 128
Area = 140 sq. ft
Answer:
c, 85°
Step-by-step explanation:
95° + xz = 180° then
x = 180 ° - 95° = 85°
(8+2)^3 - 6
10^3 - 6
1000 - 6
= 994
I THINK this is correct