Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
X²+3x-21=0
1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2
2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21
Answer: the product of the 2 solutions of this equation is -21
Answer:
Step-by-step explanation:
As per given information there are 18000 CCTV cameras in the area of 783.8 square kilometers
To find the average number of cameras you divide the number by the area.
The average number of CCTV cameras per square kilometer in NYC = 18000/783.8 = 22.9650421026 ≈ 23
It should be rounded up if taking approximate number
Yes you can have as many equal signs as you need and the approximately equal sign in the same equation.
Answer:
In this equation x is equal to -5.
Step-by-step explanation:
In order to find this, we first have to note for the base (2) to be larger than the answer (1/32), the exponent would have to be negative. We also can note that 2^5 is equal to 32, which allows us to know that the negated version would give us 1/32.
2^-5 = 1/32
Evaluate the trigonometric expression using sum and difference formulas.
