If this exact question is repeatedly deleted, it's probably because of the ambiguity of the given equation. I see two likely interpretations, for instance:
or
If the first one is what you intended, then
and it follows that
2<em>k</em> + 8 = 3 ==> 2<em>k</em> = -5 ==> <em>k</em> = -5/2
If you meant the second one, then
which would give
<em>k</em> + 9 = 3 ==> <em>k</em> = -6
And for all I know, you might have meant some other alternative... When you can, you should include a picture of your problem.
Work done on cart
:
W
=
6000
J
Kinetic energy of cart
:
E
K
=
6000
J
Explanation:
Work done
W
is defined as the product of force
F
and distance
s
:
⇒
W
=
F
⋅
s
Let's substitute the values of
F
and
s
into the equation:
⇒
W
=
300
N
⋅
20
m
⇒
W
=
300
kg
⋅
m s
−
2
⋅
20
m
⇒
W
=
300
⋅
20
kg
⋅
m
2
s
−
2
⇒
W
=
6000
kg
⋅
m
2
s
−
2
∴
W
=
6000
J
The gain in kinetic energy
E
K
is the same amount as the work done moving the cart:
∴
E
K
=
6000
Answer:
y+2 = -3(x-2)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -2 = -3( x-2)
y+2 = -3(x-2)
Answer:
When k(x) is 2x² - 5x + 3, k(-3) = 36.
Step-by-step explanation:
k(x) = 2x² - 5x + 3
Substitute the input of x.
k(-3) = 2(-3)² - 5(-3) + 3
Square -3.
k(-3) = 2(9) - 5(-3) + 3
Multiply 2 and 9.
k(-3) = 18 - 5(-3) + 3
Multiply -5 and -3.
k(-3) = 18 + 15 + 3
Add 18 and 15.
k(-3) = 33 + 3
Add 33 and 3.
k(-3) = 36.
-2n-24=-8(2n-4)
Multiply both sides by -1
2n+24=8(2n-4)
Distribute the right side
2n+24=16n-32
Subtract 2n from both sides
24=14n-32
Add 32 to both sides
56=14n
Divide 14 from both sides
n=4
