Answer:
16.24 Units
Step-by-step explanation:
The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula
Length = √(x2 - x1)^2 + (y2 - y1)^2
Considering the pair (-1, 2), (3, 1), the length of that side
= √(3 -- 1)^2 + (1-2)^2)
= √(16 + 1)
= √17 units
Considering the pair (-1, 2), (7, 2), the length of that side
= √(7 -- 1)^2 + (2-2)^2)
= √(64)
= 8
Considering the pair (3, 1), and (7, 2), the length of that side
= √(7 - 3)^2 + (2 - 1)^2
= √(16 + 1)
= √17
Hence the perimeter of the triangle
= √17 + 8 + √17
= 4.12 + 8 + 4.12
= 16.24 Units
<h2>
6.7 hectometers is equal to "670 meters".</h2>
Step-by-step explanation:
We have,
6.7 hectometers
To convert 6.7 hectometers to meters.
We know that,
1 hectometer = 100 meters
⇒ 1 hm = 100 m
∴ 6.7 hectometers
= 6.7 × 100 meters
= 670 meters
∴ 6.7 hectometers (hm) = 670 meters (m)
Thus, 6.7 hectometers is equal to "670 meters".
Answer:
b
Step-by-step explanation:
X and 1 are common factors eh
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = 2 or 
Perpendicular line's slope = 
(flip the sign from + to -, and flip the fraction)
Slope = 
Perpendicular line's slope = 
(flip the sign from - to +, and flip the fraction)
y = 1/3x + 4 The slope is 1/3, so the perpendicular line's slope is 
or -3.
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself
2= -3(1) + b Add 3 on both sides to get "b" by itself
2 + 3 = -3 + 3 + b
5 = b
y = -3x + 5
