The <span>Pythagorean theorem</span> is what is most useful here, and a calculator; for the following...
Imagine forming a triangle by creating that last leg between the starting position and the ending position; the length of that side will be our missing variable "y".
600<span>² + 800</span>²= y<span>²
The sum of the two (600</span><span>² & 800</span>²) must then be square rooted to find the length
y² = 1,000,000 and the square root of y<span>²= 1,000 (YOUR ANSWER) "y"</span>
9x^3-39x^2-38x+40=(3x-2)(3x+4)(x-5) by synthetic division
Thus roots are -4/3, 2/3, 5
Answer: 16
Step-by-step explanation:
Multiple the numerators
24 x 4 = 96
Then multiple the denominators
3 x 2 = 6
So 96/6 equals 16
If a square has an area of 45 square units its side has a length of
units. Is that a perfect length? I don't know, but I know it's perfect for a square whose area is 45.
5x + 4 = 7x
Subtract 4 from both sides.
5x = 7x - 4
Subtract 7x from both sides.
5x - 7x = -4
Simplify.
-2x = -4
Divide both sides by -2.
x = 4/2
x = 2
~Hope I helped!~