Answer:
The equation is: y = 1/2x + 7
Step-by-step explanation:
The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).
Use the point slope form of the equation:
y - y1 = m(x - x1)
Substitute:
y - 3 = 1/2(x - (-8))
y - 3 = 1/2x + 4
y = 1/2x + 4 + 3
y = 1/2x + 7
Proof:
Solve for f(x) when x = -8.
f(x) = 1/2x + 7
f(-8) = 1/2(-8) + 7
= -8/2 + 7
= -4 + 7
= 3, giving the point (-8, 3)
Answer:
-2a + 20b - 2c
Step-by-step explanation:
(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a
= 6a - 8a + 5b + 15b + 4c - 6c
= -2a + 20b - 2c
We know that the angles of a straight line equal 180 degrees and also the sum of all angles in a triangle equals 180 degrees, therefore you can determine x = 38
Which course is this for? I feel like I may need a little more information, but the simplest explanation I can give given the question is:
<em>f(x)</em> is the value of a function <em>f</em> evaluated at the value <em>x</em>. The formal definition of a function is a particular set of rules that associates a particular value with another. For an analogy: you can think of <em>f </em>as a machine that takes in an input, transforms it according to a certain set of rules, and produces an output. <em />In this analogy, <em>x</em> would be the input and <em>f(x)</em> would be the output.
Answer:
R is a partial order
Step-by-step explanation:
The relation is reflexive
That is to say, aRa
The relation is antisymmetric, if aRb and bRa, then a=b
The relation is transitive, if aRb and bRc, then aRc