Answer:
x = 10 and x = (-2) are the solutions.
Step-by-step explanation:
In the given equation (x - 4)² - 28 = 8
we will first find the zero factors which will further decide the number of solutions.
(x -4)² - 28 = 8
(x - 4)² -28 - 8 = 8 - 8 (By subtracting 8 on both the sides of the equation)
(x - 4)² - 36 = 0
(x - 4)²- 6² = 0
(x - 4 - 6)(x - 4 + 6) = 0
(x - 10)(x + 2) = 0
Now the equation only two zero factors or two solutions.
x = 10 and x = -2
Answer is two solutions only x = 10 and x = (-2)
Volume of cone: pi * r^2 * h/3
Given volume, height
942in^3 = 3.14 * r^2 * 9/3
942in^2 = r^2 * 9.42
Divide by 9.42
r^2 = 100, r = -10, 10
Cannot be negative so...
Solution: radius is 10 in.
<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:
y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5
The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope
y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
Whoever put this problem is smarttttttttttt
Answer:
√(23)
Step-by-step explanation:
The Pythagorean Theorem is a² + b² = c²
so...
a = 7
b = 3
7² + 3² = c²
14 + 9 = c²
√(23) = c
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
