Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
Surface Area of a Cone = (pi)*(radius)*(radius) + (pi)*(radius)*(length)
radius = 5
length = 10
SA = 25pi + 50pi = 75pi or about 235.619
Using the Pythagorean theorem:
x^2 + (x-2)^2 = (√20)^2
Simplify the right side:
x^2 + (x-2)^2 = 20
Subtract 20 from both sides:
x^2 + (x-2)^2 - 20 = 0
Factor:
(x-4)(x+2) = 0
Solve for each x:
x = 4 and x = -2
The side cant be a negative value, so the answer would be x = 4
The answer is B.
To find our solution, we can start off by creating a string of 27 boxes, all followed by the letters of the alphabet. Underneath the boxes, we can place 6 pairs of boxes and 15 empty boxes.The stars represent the six letters we pick. The empty boxes to the left of the stars provide the "padding" needed to ensure that no two adjacent letters are chosen. We can create this -

Thus, the answer is that there are

ways to choose a set of six letters such that no two letters in the set are adjacent in the alphabet. Hope this helped and have a phenomenal New Year!
<em>2018</em>