Answer:
( 9w - 2z)^2
Step-by-step explanation:
81w^2 - 36wz + 4z^2
Rewriting as
(9w)^2 - 2 * 9 w 2z + (2z)^2
We recognize that this is a perfect square binomial
a^2 -2ab + b^2 is a perfect square binomial because it factors to (a - b)^2
let a = 9w b = 2z
81w^2 - 36wz + 4z^2 = ( 9w - 2z)^2
Radius is equal to 1/2 the diameter. The radius is 14 (28/2=14)
With your formula:
c=2*14
c=28
HOWEVER I believe you meant
c=2(pi)r
In which
c=2(pi)14
c=28(pi)
In this instance for pi we can use 3.14 since we will be rounding anyway, so
c=28*3.14
c=87.92
Rounded to be
c=88
Note:
If we didn’t round pi out to 3.14 we would have gotten 87.964594...
3 min. and 6 sec.
Hope this helps!
Answer:Number of small boxes shipped = 8
Number of large boxes shipped = 13
Step-by-step explanation:
Step-by-step explanation:
Let x be the number of small boxes and let y be the number of large boxes
According to the first statement, a total of 21 boxes were shipped
Equation 1 will be:
x+y=21
According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70
Equation 2 will be:
25x+70y=1110
Use the substitution method for solving the equation
Putting the value of x in equation 2
25(21-y) +70y =1110
525-25y+70y = 1110
45y = 585
Y=13
Putting the value of y in equation 1
x+13 = 21
X = 8
Number of small boxes shipped = 8
Number of large boxes shipped = 13
Answer:
The average rate of change

At t = 1

at t=3
Step-by-step explanation:
<u><em>Step(I)</em></u>:-
The given function h(t) = 3+70t - 16t²

The
70 - 32 t = 0
⇒ 70 = 32 t
⇒ 
<em>Step(ii</em>):-
The average rate of change in h(t) between t = 1 second and t = 3 second

At t = 1

At t = 3