Answer:
y = -2 ( (x^2) + (2*x*5) + (5^2)) - 30
y = -2 ( x^2 + 10x + 25) - 30
y = -2x^2 - 20x - (2*25) - 30
y = -2x^2 - 20x - 50 - 30
y = -2x^2 - 20x - 80
Answer:
There are 51 boxes all together.
Step-by-step explanation:
Since there are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes, to determine how many boxes are there all together, the following calculation must be done:
3 + 3 x 4 + 3 x 4 x 3 = X
3 + 12 + 36 = X
51 = X
Therefore, there are 51 boxes all together.
Answer:
Option C 
Step-by-step explanation:
step 1
Find the slope of AB
we have
A(-3,-1) and B(4,4)
The slope m is equal to
step 2
Find the slope of BC
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
we have
substitute
step 3
Find the equation of the line into slope point form
we have
substitute
Multiply by 5 both sides
Multiply by -1 both sides
Answer:
The width of the rectangular room =x= 8
Step-by-step explanation:
Given: A rectangular room is twice as long as it is wide, and its perimeter is 48 meters.
To find: The width of the room.
Solution: Let the width of the rectangular room= x meters, then the length of the rectangular room will be = 2x.
Now, Perimeter of rectangular room=2(l+b)
⇒48=2(2x+x)
⇒24=3x
⇒x=8 meters
Then, the width of the rectangular room =x= 8 meters and the breadth of the rectangular room=2x=2(8)=16 meters.
