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:
- 25
Step-by-step explanation:
Hi there!
Answer:
length = 9 kilometres
Width = 12 kilometres
Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.
Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.
The area of a rectangle can be found by using the formula:
A = width × length
Plug in the data from the formula
A = x (2x - 6).
Simplify using rainbow technique.
Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.
Subtract 108
Divide by 2.
Rule AB = 0, gives A is 0 or B is 0.
The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).
Length
Width
Answer:
length = 9 kilometres
Width = 12 kilometres
~ Hope this helps you!
Answer:
x = 1/3 ln(2)
Step-by-step explanation:
e^(3x)+6=8
Subtract 6 from each side
e^(3x)+6-6=8-6
e^(3x) = 2
Take the natural log of each side
ln (e ^3x) = ln (2)
3x = ln(2)
Divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
