Answer:
180feet
Step-by-step explanation:
Given the function that models the height of a ball
s(t) = 144 + 48t − 16t^2.
At maximum height, the velocity is zero ie. ds/dt = 0
ds/dt = 48 - 32t
0 = 48 - 32t
48 = 32t
t = 48/32
t = 1.5secs
Get the maximum height
s(t) = 144 + 48t − 16t^2.
s(1.5) = 144 + 48(1.5)-16(1.5)^2
s()1.5) = 144 + 72 - 16(2.25)
s(1.5) = 144 + 72-36
s(1.5) = 180 feet
Hence the maximum height attained by the ball is 180feet
Answer: Second Option is correct.
Step-by-step explanation:
Since we have given that
In a parallelogram, the vector from one vertex to another vertex is (9,-2)
So, the co-ordinate of first vertex will be (9,0).
And the coordinate of second vertex will be (0,-2).
As we know the formula for "Distance between two coordinates":
So, The length of the side is given by
Hence, Second Option is correct.
Answer:
Step-by-step explanation:
The given Equation is
.................(i)
Adding ( ) on both sides of (i)
solving and cancelling out the terms will give
⇒
⇒ ...................(ii)
Now we Know that
Applying this on equation (ii)
This will lead us to
Either 2x-3 =0 .......(iii) or 2x+3=0 ..........(iv)
Solving equation (iii) for value of x
2x - 3 =0
adding 3 on both sides
2x -3 +3 = 0+ 3
2x = 3
Cross multiplying gives
Solving equation (iv) for value of x
2x + 3 =0
adding -3 on both sides
2x -3 +3 = 0- 3
2x = -3
Cross multiplying gives
so and
Answer:
y2 -y1 over x2 - x1
Step-by-step explanation: plz mark brainliest
Answer:
angle 1= 104 angle 2= 76
Step-by-step explanation:
angle 1 equals x+66 and angle 2 equals 2x so you set up an equation where they are the sum of 180 degrees because the angles are supplementry angles.
x+66+2x=180 set the sum of the angles to 180
3x+66=180 combind like terms
3x=144 subract 66 from both sides
x=38 divide 3 from both sides
Now you put x back into the measurments
angle 1= (x+66) angle 2= 2x
(38+66) 2×38
angle 1= 104 angle 2= 76
Or after you know angle 1 you can subtract angle 1 from 180 to get angle 2.