The given function is
According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.
Additionally, we find the maximum height by calculating the vertex of the function V(h,k).
Where a = -16 and b = 300.
Then, we find k by evaluating the function
Hence, the maximum height is 1426.25 feet.
At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2
Hence, the rocket hits the ground after 18.75 seconds.
Answer: (-3,5) would be the orgin but if you rotated it more it would be (3,-5)
Step-by-step explanation: you can use a peace of gragh paper to do that it makes it a lot easer.
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
- <em>Distributive property</em>
a(b+c) = ab+ac
For example,
suppose a=1, b=2, c=3
1(2+3) = 1(2) + 1(3)
5 = 2+3 = 5
- <em>Subtraction property of Equality</em>
if (a=b), then a-c = b-c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a-c = b-c ⇒ 1-3 = 1 - 3 ⇒ -2 = -2
- <em>Addition property of Equality</em>
if (a=b), then a+c = b+c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a+c = b+c ⇒ 1+3 = 1+3 ⇒ 4 = 4
- <em>Multiplicative property of Equality</em>
if (a=b), then a×c = b×c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a×c = b×c ⇒ 1×3 = 1 × 3 ⇒ 3 = 3
- <em>Division property of Equality</em>
if (a=b), then a÷c = b÷c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3 ⇒ 1/3 = 1/3
Let's solve the given equation using the above properties.
5(x+10) = 20 Given
5x+50 = 20 1) Distriburive property ∵ a(b+c) = ab+ac
5x = -30 2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c
x = -6 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c
Answer: Josie starts working out at 3:09
Step-by-step explanation: I found this answer by adding the workout time together.
The two angles are supplementary angles and when added together equal 180 degrees.
3x -12 + x+2 = 180
Simplify:
4x -10 = 180
Add 10 to both sides
4x = 190
Divide both sides by 4
X = 190/4
X = 47.5
