From the equation, it looks like we can set up a triangle like this. One side is x and the other is x + 20 because the northbound car traveled 20 miles farther. The hypotenuse is 100 because they were 100 miles apart.
Next, we can use the Pythagorean Theorem to solve for x:
a² + b² = c²
x² + (x + 20)² = 100²
This simplifies to:
x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0
After that, we can divided each side by 2:
x² + 20x - 4800 = 0
Next, we have to factor:
(x - 60)(x + 80) = 0
x = 60, -80
Since we know that distance can't be negative, 60 is the valid answer in this case.
x = 60
x + 20 = 80
Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.
Answer:x=-5 and x=3
Step-by-step explanation:
log(x^2-15)=log(2x)
Cancel log at both sides we get
x^2-15=2x
Collect like terms
x^2-2x-15=0
x^2-3x+5x-15=0
x(x-3)+5(x-3)=0
(x+5)(x-3)=0
x+5=0 x-3=0
x=-5 x=3
She had to spend 50 cents... since nickels value at 5 cents, 10 5 cent coins value at 50 cents
Hope this helps
It could be PEMDAS.
That means solve by this order:
1). Parenthesis
2). Exponents
3). Multiplication
4). Division
5). Addition
6). Subtraction
To remember the order they say it like
this " Please Excuse My Dear Aunt Sally "