Solve each of the following problems. Show your complete solution. The length and width of the rectangular garden in terms of x.
1. Express the length and width of the rectangular garden in terms of x.
2. Write the quadratic equation.
3. Find the length of the diagonal path across the garden. When a ball is thrown straight up into the air, the formula h= vt – 16t2 gives the height of h of the object above the ground after t seconds. Its initial velocity is given as v.
1. After how many seconds will the object hit the ground if it is thrown with a velocity of 128 feet per second?
2. After how many seconds will the object hit the ground if it is thrown with the velocity of 96 feet per second?
1. Express the length and width of the rectangular garden in terms of x.
2. Write the quadratic equation.
3. Find the length of the diagonal path across the garden. When a ball is thrown straight up into the air, the formula h= vt – 16t2 gives the height of h of the object above the ground after t seconds. Its initial velocity is given as v.
1. After how many seconds will the object hit the ground if it is thrown with a velocity of 128 feet per second?
2. After how many seconds will the object hit the ground if it is thrown with the velocity of 96 feet per second?
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Answer:
SOLUTION
:
From the problem
A1 = 15
A2 = 13
We get the common difference:
D = A2 - A1
D = 13 - 15
D = -2
\begin{gathered} \\ \end{gathered}
Now , we get the sum by substituting the values to the formula:
Sn = n/2 [ 2a1 + (n-1)d ]
S(6) = 6/2 [ 2(15) + (6-1)-2 ]
S(6) = 3 [ 30 + (5)-2 ]
S(6) = 3 [ 30 + (-10) ]
S(6) = 3 ( 20 )
S(6) = 60
\begin{gathered} \\ \end{gathered}
\large\underline{ \mathcal {ANSWER}}:
Answer
60 kilometers