Answer:
4
9
2
−
5
6
−
5
6
+
6
4
Step-by-step explanation:
Answer:
x^2 -8x -5 = -3
x^2 -8x -2 = 0
We complete the square by:
1) Moving the "non X" term to the right:
x^2 -8x = 2
2) Dividing the equation by the coefficient of X²
The coefficient of x is 1 so we don't do anything
3) Now here's the "completing the square" stage in which we:
• take the coefficient of X
that is -8
• divide it by 2
-8 ÷ 2 = -4
• square that number
-4*-4 = 16
• then add it to both sides of the equation.
x^2 -8x +16 = 2 +16
That becomes
(x -4)^2 = 18
we take the square root of both sides:
(x -4) = sqr root (18)
x1 = sqr root (18) +4
AND
(x+4) = sqr root (18) -4
x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871
x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871
Step-by-step explanation:
I thought it would be 10 percent but my cal. says 1.44
Answer:

Step-by-step explanation:
Right triangle:
height h, width w, hypotenuse h
Area is: 
Pytagoras theorem: 
In this question:
To find the area, in terms of h and t, we have to write w as a function of h and t. So



So the area is:


Answer:
m∠JKL = 120°
Step-by-step explanation:
The measure of an angle formed by a two tangents drawn from a point outside the circle is the the difference of the intercepted arcs
minor arc JL = 60 major arc JL = 360 - 60 = 300
m∠JKL = 1/2(300 - 60) = 1/2(240) = 120