Answer:
Calculation: 3 1/2 - 4 1/7 - fraction calculator. ... How do you solve fractions step by step? ... to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
Answer:
Step-by-step explanation:
Given sequence: 
Therefore,
General form of an arithmetic sequence: 
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:
Therefore,
To find the 6th term, input n = 6 into the equation:
has gradient
which at the point (-1, 4, 3) has a value of
I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say 
, in which case we have
Then the derivative of at (-1, 4, 3) in the direction of 
is
4x-2y=8 ==> y=2x-4 (to better show you what I mean)
2 lines are parallel if they have the same slope (m the coefficient of x).
So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
Answer:
(-2, 1)
Step-by-step explanation:
consider the following equations: -x-y=1 y=x+3
For the lines to intersect, the values must be the same
-x-y=1
x + y = -1
y = -x - 1
Equating the y values
-x - 1 = x+ 3
-x-x = 3 + 1
-2x = 4
x = 4/-2
x = -2
Substitute x = -2 into y = x+3
y = -2 + 3
y = 1
Hence the required coordinate is (-2, 1)
