Answer:
x = - 12, 3
Step-by-step explanation:
By tangent secant theorem:

Answer:
see explanation
Step-by-step explanation:
Given the width is
of the length, then
y - 4 =
(2y + 6)
Multiply through by 3 to clear the fraction
3y - 12 = 2y + 6 ( subtract 2y from both sides )
y - 12 = 6 ( add 12 to both sides )
y = 18
Thus
length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in
width = y - 4 = 18 - 4 = 14 in
Answer:
......................................,........
Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are equivalent.
- Two lines are perpendicular if their slopes are negative reciprocals of each other.
- And two lines are neither if neither of the two cases above apply.
So, let's find the slope of each equation.
The first basketball is modeled by:

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

And divide both sides by four:

So, the slope of the first basketball is -3/4.
The second basketball is modeled by:

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

And divide both sides by negative eight:

So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Answer:
A = $ 50,978.44
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 5%/100
r = 0.05 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 45,000.00(1 + 0.004166667/12)(12)(2.5)
A = $ 50,978.44