The kinetic energy possessed by the skydiver is 14, 062. 5 Joules
<h3>What is kinetic energy?</h3>
Kinetic energy of an object is defined as the energy possessed by an object due to its motion.
It is also described as the work that is required to accelerate a body of mass from rest to its given velocity.
The formula for calculating kinetic energy is expressed as;
Kinetic energy = 1/2 mv²
Where;
- m is the mass of the object
- v is the velocity of the object
Now, substitute the values
Kinetic energy = 1/2 (45)(25)²
Find the square
Kinetic energy = 1/2 (45)(625)
Find the product
Kinetic energy = 1/2(28125)
Find the quotient
Kinetic energy = 14, 062. 5 Joules
Hence, the value is 14, 062. 5 Joules
Learn more about kinetic energy here:
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There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
Answer:
X = 12
4x + 12 = 5x
subtract 4x on each side and you're left with x=12
The answer C.
Since the common ratio is 2
You just need to multiply each number with two to get the next number
14x2=28
28x2=56
56x2= 112
Answer:
<h2>A horizontal translation and a 180° rotation only.</h2>
Step-by-step explanation:
Notice those shapes are positioned as a reflection.
So, one way to map them onto is self is by rotating 180° and a horizontal translation. Or it could work if we translate it horizontally, the we reflect it vertically. Those transformations would map the strip onto itself.
Therefore, the second choice is the best answer.