Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Answer:
The answer is
Step-by-step explanation:
C. f(x) = 500(2)^x
2020
Answer: 75 degrees
Step-by-step explanation: supplementary angles= 180 degrees, 180 - 115 = 75
Answer:
Branliest appreciated
3. x = 14 degrees
4. x = 17.5 degrees
Step-by-step explanation:
SO, The first question:
6x - 21 = 105
6x = 105 -21
6x = 84
x = 14
SO, The second question:
55 + 85 = 8x
140 = 8x
17.5 = x
Answer:
<h2>1</h2>
Step-by-step explanation:
Use the Pythagorean theorem:
We have
Substitute:
<em>subtract 9 from both sides</em>
