Answer:
diameter = 2.5 feet
Step-by-step explanation:
Circumference of a circle is given as C = πd
Circumference of the tree trunk = 7.85 ft
π = 3.14
Diameter of the tree trunk = d
Thus:
7.85 = 3.14*d
Divide both sides by 3.14
7.85/3.14 = 3.14*d/3.14
2.5 = d
d = 2.5 ft
Answer:3.84x10^10
Step-by-step explanation:
32,000,000 teenagers
1200 text messages per month
32,000,000 * 1,200= 38,400,000,000----(scientific notation)-----> 3.84x10^10
Rate = 10/2 = 5 trees per hour
150trees/5 trees per hour = 30 hours
the answer is D = 30 hours
9514 1404 393
Answer:
r = 2
Step-by-step explanation:
The first differences between successive terms are ...
10 -5 = 5
20 -10 = 10
The differences are not constant, so the sequence is NOT arithmetic.
__
The ratios of successive terms are ...
10/5 = 2
20/10 = 2
The ratios are constant, so the sequence is ...
geometric with a common ratio of 2.
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)
we just need the slope
take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1
the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation
solve for where y=x-1 and y=x-x² intersect
set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero
x-1=0
x=1
we got this point already
x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2
it intersects at (-1,-2)
