24 inches would be your answer
-5b2 is still considered to be like 5b2 because they share terms (the variable)
so it is the b that makes them alike the exponent and the negatives dont matter
Answer:
56.96°
Step-by-step explanation:
The set up will give a right angles triangle where;
The height of the sky scraper = hypotenuse side = 396m
The length of the shadow will be the opposite = 332m
According to the SOH trig identity
sin theta = opp/hyp
sin theta = 332/396
sin theta = 0.8383
theta = arcsin 0.8383
theta = 56.96°
Hence the sun is at 56.96° above the horizon
Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution