Answer:
x = -8
Step-by-step explanation:
y = 3x/4
Substitute the value of -6 into y.
-6 = 3x/4
Multiply both sides by 4.
-24 = 3x
Divide both sides by 3.
x = -8.
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
Vertex form is basically commplete the square
y=a(x-h)^2+k
y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45
answer is A
Answer:
9 sides.
Step-by-step explanation:
N is the # of sides.
140 = ((n-2) x 180) / n
Multiply both sides by n
140 n = (n-2) x 180
Distribute the right side
140 n = 180 n - 360
Subtract 140 n and add 360 to both sides.
40 n = 360
n = 9
Here are my notes for monthly rents:
<span>Landlords typically require that your annual income is at least 40 times the monthly rent. For example, if you and your roommate are looking at a $3,000 per month apartment, the landlord would require a combined income of $3,000 × 40, which equals $120,000. To determine how much rent you (and your potential roommates) can afford, simply divide your combined annual incomes by 40.
</span>
I hope my guide has come to your help. God bless and have a nice day ahead!
