The domain is the limits of the function. Since time doesnt go negative, start with 0. At time 0, the height is
-16(0)^2 + 144 = 144ft
Then, solve for t to find the upper limit for t, which is when the height is zero (since you're dropping the object).
-16t^2 + 144 = 0
-16t^2 = -144
t^2 = 9
t = sqrt(9)
t = 3
The domain is 0 to 3 seconds.
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand
15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3
4.5 = x
x = 4.5
This is the length above the left hand.
2x must be then 4.5*2 = 9 foot
This is the length below the left hand.
Checking
4.5 + 9 + 1.5 = 15 foot
Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
Answer:
the width=15; the length=20
Step-by-step explanation:
1. to solve the given equation: x²+5x-300=0;
x₁= -20; x₂=15, where 'x' can be only positive value. It means x=15;
2. according to the condtition the length is more, it means 15+5=20.
3. the width is x=15; the length is 20.
Hello!
To solve, we want to isolate the x on one side of the equation. We can use inverse operations to put numbers on the other side to find x.
First we undistribute our parentheses.
12x-66+15=21
We subtract 15 from both sides (it cancels out the 15 on the left side, making it 0).
12x-66=6
Now we add 66 to both sides, as -66+66=0
12x=72
Finally, we divide both sides by 12.
x=6
I hope this helps!
Answer:
600
Step-by-step explanation:
Multiply 30 x 20
