All real numbers / all x
if you're asking for range as well then its -1<x<1
Answer:
11,200
Step-by-step explanation:
Given that the lcm of a and b is 40 then a and b are factors of 40. All the multiples of 40 as sets are 1 and 40, 2 and 20, 4 and 10, 5 and 8. Of all these, only 5 and 8 would give a lcm of 40.
Let a = 5 and b = 8 as such,
7 a^2 = 7 * 5^2 = 175
7b^2 = 7 * 8^2 = 448
Then the lcm of 7 a^2 and 7b^2
= 11,200
Answer:
The address of Ainsley is 24 and that of Lane is 25.
Step-by-step explanation:
All the houses on sequence lane have an address whose numerical portions are greater than that of the prior house.
Now, if Ainsley and Lane are next-door neighbors and the sum of the numerical portions of their addresses is 49.
Let the Ainsley has the address with numeric portion x, then Lane has the address with numeric portion x + 1.
Therefore, x + (x + 1) = 49
⇒ 2x = 48
⇒ x = 24
So, the address of Ainsley is 24 and that of Lane is 25. (Answer)
Answer:
x = 8
Step-by-step explanation:
7x + 2(6x + 9) = 170
2(6x + 9) = 12x + 18
7x + 12x + 18 = 170
19x = 152
152/19 = 8
x = 8
Answer:
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
