<span>L the length W the width
The length of a rectangle is 5 more than twice the width</span>
L = 5+ 2W
<span>the perimeter is equal the sum of sides =130
</span>
L+L+W+W =130
by subtitution we replace L by <span>L = 5+ 2W
</span>5+ 2W+<span>5+ 2W +W+W = 130
</span>
6W= 120
w= 20 <span>L = 5+ 2W= 5+ 40=45</span>
Answer:
x = 4, y = 3
Step-by-step explanation:
Equating corresponding coordinates , gives
2x = 8 ( divide both sides by 2 )
x = 4
and
3y = 9 ( divide both sides by 3 )
y = 3
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
sin²x + 7cosx + 17
=1 - cos²x + 7cosx + 17
= - cos²x + 7cosx + 18 ← factor out - 1 from each term
= - (cos²x - 7cosx - 18)
Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)
The factors are - 9 and + 2, thus
= - (cosx - 9)(cosx + 2) ← in factored form
You can see that the term 
appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have
Now that we know the value of 
, we can substitute in any of the equation to deduce the value of 
: if we use the first equation, for example, we have
I am not sure but I did this in my head and then I did it on the calculator and it was 20
