Answer:

Step-by-step explanation:
A right triangle is formed.
300 miles and 400 miles are the legs of the triangle.
We can apply Pythagorean theorem.




Answer:
2
Step-by-step explanation:
let the other leg be x
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 3²
x² + 1 = 9 ( subtract 1 from both sides )
x² = 8 ( take the square root of both sides )
x =
= 
=
×
= 2
← exact value
Answer:
x = 0
Step-by-step explanation:
Subtract 25x^2 from both sides
24x^2 + bx^2 - 25x^2 - 25x^2
Simplify
bx^2 - x^2 = 0
Factor bx^2 - x^2: x^2(b - 1)
bx^2 - x^2
Factor out common term x^2
= x^2 (b - 1)
x^2(b - 1) = 0
Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0
x^2 = 0
Apply rule x^n = 0 x = 0
x = 0
Answer:
6+11i
Step-by-step explanation:
2+3i + 4+8i
Add the real parts
2+4 = 6
And the imaginary parts
3i+8i = 11i
The complex number is the real plus the imaginary
6+11i