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.
The 9 is in the one hundred thousand's place
(x+4)²= (x+4)×(x+4)
Use the FOIL method to simplify
F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)
x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16
Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x
Final expression= x² + 8x + 16
Answer:
Step-by-step explanation:
The graph shows you the value stored on the card dropped by $14 when Gina rented 4 videos. Thus the cost of each one is ...
... $14/4 = $3.50
Gina now has $84 on the card, so can rent an additional ...
... $84/$3.50 = 24 . . . . videos
_____
Division is a way to do "repeated subtraction." That is, if we were to subtract $3.50 from $84 repeatedly, we would find we could do it 24 times.