Answer:
Step-by-step explanation:
x^2-19x-20
=x^2-(20-1)x-20
=x^2-20x+x-20
=x(x-20)+1(x-20)
=(x-20)(x+1)
Answer:
625 cm3
Step-by-step explanation:
Formula V1 * P1 = V2 * P2
V1 = 450 cm3
P1 = 125 kPa
P2 = 90 kPa
V2 = ?
V2 = (V1 * P1) / P2
V2 = (450 cm3 * 125 kPa) / 90 kPa = 625 cm3
Answer:
X= -13
Step-by-step explanation:
The goal is to get x by itself!
<em>Rule of thumb: whatever you do to the left, you MUST do to the right</em>
Step 1: Subtract 8 from the left side of the equation (the = sign)
x + 8 = (-5)
- 8 --> this gets x by itself
Step 2: Subtract 8 from (-5) on the right side <em>(because you did it on the left</em>
x = (-5)
- 8
*<em>note: x is now by itself*</em>
Step 3: Solve!
x = (-5) - 8 -13
x = -13
Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.



PR = 
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.