Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture:
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>
Answer:
4). (x + 2)^2 + (y - 1)^2 = 25.
Step-by-step explanation:
x^2 + y^2 + 4x - 2y - 20 = 0
x^2 + 4x + y^2 - 2y = 20
Completing the square on the x and y terms:
(x + 2)^2 - 4 + (y - 1)^2 - 1 = 20
(x + 2)^2 + (y - 1)^2 = 20 + 4 + 1
(x + 2)^2 + (y - 1)^2 = 25.
Answer:
10000 cows.
Step-by-step explanation:
Remainder before the 10% loss: (7650/9) x 10 = 8500
Total before any losses : (8500/85) x 100 = 10000
Answer: 46
Step-by-step explanation: g(-5)= 8-2 (3(-5)-4), equals 46! Hope this helps :)