42/2 is 21 then add 9 you’d get 30 as your final solution.
Answer:point slope form
y-y1=m(x-x1)
slope-intercept form
y=mx+b
slope formula
y2-y1/x2-x1
slope of line passing through (3.29,-9.19) & (3.29,4.72)
UNDEFINED
line perpendicular to y=3x-7 & passes through (3,5)
y-5 = -1/3(x-3)
slope of perpendicular lines
negative reciprocals (flip and change signs)
m --> -1/m
covering up method
only used with standard form
-4x + 7y = 56 Find x & y intercepts of equation
x = (-14,0) y = (0,8)
Terry is skiing down a steep hill. Terry's elevation E(t)
in feet after t seconds is given by E(t) = 2000 − 90t.
Write a complete sentence describing Terry's starting elevation and how it is changing over time.
Terry starts at an elevation of 2000 feet and descends at 90 feet per second.
If the graphs of two linear functions are perpendicular, describe the relationship between the slopes and the y-intercepts.
slope: negative reciprocals of one another.
y-intercept: There is no relationship.
Step-by-step explanation:
The value of y is 7 and value of NO is 5 i believe and the other ones are correct:)
These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).
To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.
f(x) = 6x - 18
f(x/3) = 6(x/3) - 18
To simplify, we should distribute the 6 on the right side of the equation.
f(x/3) = 6x/3 - 18
Now, we can divide the first term on the right side to finalize our simplification.
f(x/3) = 2x -18
Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.
f(x) = 6x - 18
f(x)/3 = (6x-18)/3
This means that we must divide each term of the binomial by 3, so we are really computing
f(x)/3 = 6x/3 - 18/3
We can simplify by dividing both of the terms.
f(x)/3 = 2x - 6
Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.
Hope this helps!
Step-by-step explanation:
The sine of an angle is the same as the cosine of its complement.
If sin 30° = ½, then cos 60° = ½.
