Answer:
Lines that are parallel have the same gradient.
Since the line is y=-5/6x-4,the gradient of the line parallel to this line is also -5/6.
So the equation of the line parallel to y=-5/6x-4 is y-(-2)=-5/6(x-(-6))--->y=-5/6x-7.
Lines that are perpendicular fulfill the requirement: gradient 1×gradient 2=-1 . Then once you find the gradient of the line, you can find the equation of the line.
Answer:
Step-by-step explanation:
Vertex form of a quadratic equation is: y = a(x - h)² + k, where point (h, k) is the vertex
f(x) = 3(x - 2)² + 11
This is in vertex form, so the vertex is (2, 11)
*it's positive 2 because we are subtracting h in the equation, and we are subtracting positive 2 in our problem
Answer:
v = -1
Step-by-step explanation:
-4 (-3 + 7v) = -7v + 33
12 -28v = -7v + 33
-12 -12
-28v = -7v + 21
-28v + 7v = 21
-21v = 21
-21÷-21 = 21÷-21
v = -1
8×5=40$
Ivan earned 40$ till now
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.