Answer:
(x-5)(x-5)
Step-by-step explanation:
x^2-10x+25=0
(x-5)(x-5)
since:
-5-5=-10
and
-5×-5=25
hope this makes sense :)
So to find the answer to this, you have to consider that

- half because half the pocket money (x) was spend on clothes, then plus 9 because that's how much extra she gained and 13 because that was the result of all the changes.
To solve this, first subtract 9 from both side, which leaves you with

and

is the same as

, so to solve this, multiply both sides of the equation by two, resulting in

. SO from this we can conclude that the weekly allowance is $8
Answer:
a) the common difference is 20
b) 
c) the common difference is -13
d) 
Step-by-step explanation:
a) what is the common difference of the sequence xn
Looking at the table, we get x_3=16, x_4=36 and x_5= 56
Deterring the common difference by subtracting x_4 from x_3 we get
36-16 =20
So, the common difference is 20
b) what is x_8? what is x_12
The formula used is: 
We know common difference d= 20, we need to find 
Using
we can find 

So, We have 
Now finding 

So, 
Now finding 

So, 
c) what is the common difference of the sequence 
Looking at the table, we get a_7=104, a_8=91 and a_9= 78
Deterring the common difference by subtracting a_7 from a_8 we get
91-104 =-13
So, the common difference is -13
d) what is a_12? what is a_15?
The formula used is: 
We know common difference d= -13, we need to find 
Using
we can find 

So, We have 
Now finding
, put n=12

So, 
Now finding
, put n=15

So, 
As we know that
Fx = Fcos30.0deg
<span>60.0N = Fcos30.0deg </span>
<span>F = 60.0N/cos30.0deg </span>
<span>F = 69.3 N
</span><span> Fy = Fsin30.0deg </span>
<span>Fy = 69.3 N sin 30.0 deg </span>
<span>Fy = 34.6 N
</span>hope it helps
Answer:
TRUE
Step-by-step explanation:
Lateral area of cone is given by: πrl
where r is the radius and l is the slant height
Here r=r and l=2h
Hence, lateral area of cone A= π×r×2h
= 2πrh
Lateral area of cylinder is given by: 2πrh
where r is the radius and h is the height
Lateral area of cylinder B=2πrh
Clearly, both the lateral areas are equal
Hence, the statement that:The lateral surface area of cone A is equal to the lateral surface area of cylinder B. is:
True