Y = -1/5x + 2
A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).
First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3
So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.
Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation
y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2
9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
Let's assume
shorter side as x
so, first side =2x
third side =x+19
now, we can find perimeter of triangle
perimeter of any triangle is
first side + shortest side + third side
so, we get
we are given perimeter=187
so, we can set it to 187
and then solve for x
so,
shortest length is x=42 feet
First side =2x=2*42=84feet
third side =x+19=42+19=61 feet
so, dimensions are
first side is 42 feet
second side is 84 feet
third side is 61 feet................Answer
Step-by-step explanation:
the rate of change is the slope of the line connecting both points.
the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here
x changes by -10 units (from -24 to -34)
y changes by -10 units (from 60 to 50).
the slope or rate of change is -10/-10 = 1/1 = 1
Answer:
time = distance / velocity
time = 34,200 meters / 20.1 meters per second
time = 1,701.4925373134 seconds
time = 28.36 minutes
Step-by-step explanation:
