Answer:
14.2 is the diameter.
Step-by-step explanation:
The radius squared = 52.
What you have given is the general equation of the circle with a center at (2,-3) and a radius of sqrt(52)
You can break the 52 down.
sqrt(52) = sqrt(4 * 13) = 2 sqrt(13). Notice that 4 is a perfect square.
d = 2*radius.
d = 2(2 sqrt(13) )
d = 4 sqrt(13)
That is the diameter. You want it to the nearest 1/10
d = 14.222 but it is to the nearest 1/10
d = 14.2
Answer:
Step-by-step explanation:
Given is a function as 
Equating to 0 we have equation
If the function f(x) has x intercepts then the solutions are real
Let us use remainder theorem and change of signs rule
f(0) = 1>0
f(-1) = -1+3+1=3
f(-2) = -32+6+1<0
This implies there is a real root between -1 and -2.
f(1) = -1
Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.
f(2) = 32-6+1>0
Since f(1) and f(2) have different signs there exists a real root between 1 and 2.
Thus there are definitely three real solutions as
one between -1 and 0, one between 0 and 1, and third between 1 and 2.
Answer:
34 mph and 68 mph respectively
Step-by-step explanation:
Step one:
given data
let the speed of the first truck be x mph
and the speed of the second truck be 2x mph
time taken = 6 hours
total distance = 204 miles
Step two:
from speed = distance/time
distance= speed*time
hence
2x*6-6x= 204
12x+6x= 204
6x= 204
divide both side by 6
x= 204/6
x=34 mph
The second truck was moving at
=2x
=2*34
=68 mph
Answer:
Step-by-step explanation:
f(x) = x²-8x-20
a= 1
a >0 so...
-parabola opens up
-vertex is a minumum
Minimum because parabola opens up !
Step-by-step explanation:
5) angle 5 = 69°
than, angle 10 = 69° ( alternate interior angle )
6) angle 6 = 115° ( alternate interior angle )
7) angle 7 = 118° ( alternate interior angle )
8) angle 11 = angle 4 - 180
→ 72 - 180 = 108°
therefore, angle 11 = 108°
9) angle 14 = 114° - 180
→ angle 14 = 66°
10) angle 12 = 86° ( alternate interior angle)
hope this answer helps you dear...take care!
