So for question 1, Well, using an equation to make a prediction for patterns is pretty easy, really. It is also very efficient. When you look at the pattern, you should be able to make an equation based upon the pattern, or any previous patterns, and using that, you can make an equation to solve or figure out other parts of the pattern.
Answer: A
Step-by-step explanation:
Taking the transform of both sides gives
where denotes the Laplace transform of , . Solve for to get
Split the right side into partial fractions:
If , then ; if , then . So
Finally, take the inverse transform of both sides to solve for :
Answer:
x= 18
y =45
Step-by-step explanation:
first these two angles are supplementary and add up to 180 degrees:
(6x+7) + (4x-7) = 180
find x:
10x = 180
x = 18
substitute x = 18 for the angle (6x+7)
now we know what 6x +7 =
6 (18) + 7 = 115
since angle 3y-20 = 115, solve for y
3y = 135
y = 45
Answer:
The slope in that equation is 1/3 so you would go up on the coordinate plane one, and over three. The y intercept, is 2. Any linear equation in slope intercept form, y=mx+b, will be set up that way, so hopefully this helps, it's the easiest way to find the slope and y intercept, m is always the slope, and b is always the y intercept. :)