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
Answer: option D
Step-by-step explanation:
Remember the cosine identity:

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

Now you can substitute values into
and then reduce the fraction.
THerefore you get:
Answer: $1117.42
Step-by-step explanation:
Given: The amount predicted by Economist =$1180
Let x be the amount spent by Americans on Summer vacation in 2014.
Therefore, According to the question, we have
5.6% of x+x=1180

Hence, the amount spent by Americans on Summer vacation in 2014 = $1117.42
Alright here's the breakdown:
your trying to find how many miles per day
so
take the miles (290) and the days it took (5)
and
divide the miles by the days it took (290/5)
and the answer is
58 mi. per day
Answer:
k=20
Step-by-step explanation:
ph*tomath (the app) is your friend btw because this would be really easy to solve using that but
solve for k:
simplify the left side as 310-210 then =100
so 100=5k
divide by 5 and k=20