Find an equation of the line perpendicular to Y equals 3X -3 and passes through the point -3 and -1
1 answer:
Answer:
y = - x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, then
y = - x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 1 + c ⇒ c = - 1 - 1 = - 2
y = - x - 2 ← equation of perpendicular line
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Answer:
Area = 342, Perimeter = 22.79 cm
Step-by-step explanation:
First, divide the shape into 3:
An arc, a square, and a triangle.
Dimensions of shapes:
Arc:
Degree = 40°
Arms = 4 cm
Square:
All sides are 4 cm
Triangle:
base = 3 cm
height = 4 cm
hypotenuse = 5 cm
To get perimeter:
Arc length = (4 is the arm length ) = 2.7925 cm
Arc arm = 4 cm
Square sides (only two are outside) = 2 * 4 = 8 cm
Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm
So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm
To get area:
Arc area (the pizza shape) = (4 is the arm length) = 320
Square area = side * side = 4 * 4 = 16
Triangle = (1/2) * base* height = (1/2) * 3 * 4 = 6
So total area is 320 + 16 + 6 = 342