Answer:
The lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are equal
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
we have
----> equation A
isolate the variable y
Divide by 7 both sides
The slope of the line A is
----> equation B
isolate the variable y
Divide by 3 both sides
The slope of the line B is
Compare the slope of both lines
so
----> the lines are not parallel
Find the product of the slopes
----> the lines are perpendicular
Answer:
The linear function would be f(x) = 4x - 10
Step-by-step explanation:
In order to find this, we need to take the equation and solve it for y.
y - 2 = 4(x - 3)
y - 2 = 4x - 12
y = 4x - 10
Now we replace the y with f(x) and this is the function.
f(x) = 4x - 10
Answer:
2024 ways
Step-by-step explanation:
Because order doesn't matter in this scenario, we can use the binomial function , where n is the total number of items (students in this case) and k is the number of items we'd like to choose.
This binomial function is equivalent to:
, where n! means n * (n - 1) * (n - 2) * ... * 2 * 1
Here, we have .
Thus, the answer is 2024 ways.
<em>~ an aesthetics lover</em>
X - 65 - 4x.
3x - 65.
I assume that you subtract x times four (a number, x, multiplied by 4) FROM the difference of x and 65 (the same number and 65).
Hope this helps!