Step-by-step explanation:

from difference of two squares:

therefore:

factorise out ¾ :

Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, then
y = 3x + c ← is the partial equation
To find c substitute (1, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = 3x - 2 ← equation of line
Circumference = square root (Area * 4 * PI)
circumference = square root (
<span>
<span>
<span>
452.3893421169
</span>
</span>
</span>
* 4 * PI )
<span>circumference = square root (
5,684.8921350275)
</span>circumference =
<span>
<span>
<span>
75.3982236862
</span>
</span>
</span>
Answer: B. 1 1/2
Step-by-step explanation:
Answer:
v = 8.49 m/s rounded off to 3 significant figures
Step-by-step explanation
Using Energy Conservation
U = Tk + Vp (Sum of kinetic Tk Energy and gravitational potential Vp Energy)
- At height = 3.67 m, the hammer was still or the velocity was negligible; hence, vi = 0 m/s.
- Ui = 0 + mgh
- At ground all potential energy is converted to kinetic; hence, Uf =
mv². - Since total energy of the system remains constant we equate Ui to Uf.
- Ui = Uf
- mgh =
mv² - After cancelling out masses and making v the subject of the formula we get:
v =
=
= 8.49 m/s rounded off to 3 significant figures