Answer:
(-8, 2)
Step-by-step explanation:
set these equations equal to each other
1/2x + 6 = -3/4x -4
5/4 x = -10
x = -10x4/5 = -40/5 = -8
plug this x into one of the equations
y = 1/2 (-8) + 6
y = -4 + 6
y = 2
Answer: The distance is sqrt(40).
Step-by-step explanation:
Let's use the Pythagorean Theorem (a^2 + b^2 = c^2)
(Look at the image I attached)
Let's set a = 2 and b = 6. The mystery side is c, which is opposite to the right angle that is formed when you draw perpendicular lines from each of the points.
(2)^2 + (6)^2 = c^2 <--- First, we need to simplify
4 + 36 = c^2
40 = c^2 <--- Now, we need to take the square root of both sides.
c = sqrt(40)
So, the distance between (5, -4) and (-1, -2) is sqrt(40). I recommend looking at some videos on Khan Academy if you need more help! Let me know if you want me to attach a link that you can visit.
Assuming that he read at the same speed last summer, 2,724 pages.
18+2.50=20.50 so tax is 10% so you can put that into a calculator as 20.50*0.10 which equals 2.05 so just add 20.50 and 2.05 which is 22.55 is your final answer
Answer:
£21552.
Step-by-step explanation:
Given information:
Principal amount = £18790
Rate of simple interest =4.9% = 0.049 per year
Time = 3 years
Formula for simple interest:
where, P is principal, r is rate of interest and t is time in years.
Total amount after 3 year is
Therefore, Dan have £21552 after 3 years.