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.
Answer: He can have 12 fifty-dollars bills and 7 ten-dollar bills.
Step-by-step explanation:
12*50=700
7*10=70
_____+
770
11.5% × 350 =
(11.5 ÷ 100) × 350 =
(11.5 × 350) ÷ 100 =
4,025 ÷ 100 =
40.25
Answer:
$12500
Step-by-step explanation:
use si formula
SI=ptr/100
si=5000
t=10
r=4
Answer:
y = 2eˣ - sin x + 1
Step-by-step explanation:
dy/dx = 2eˣ - cos x
(0, 3)
Integrate dy/dx to find the original function.
Solve for C by substituting the point given.
- 3 = 2e⁰ - sin(0) + C
- 3 = 2 - 0 + C
- 1 = C
Now we can substitute C into the original function.
This is the particular, or explicit, solution to the differentiable equation.