Answer:
32
Step-by-step explanation:
The facts we have are the height of the small lighthouse is 8, and the base is 2.5. The base of the big lighthouse is 10.
The factor between the base of the big lighthouse and small lighthouse is 4 (10/2.5).
If we apply this to the height, 8x4 = 32
Answer:
x=√2, x=-√2, x= 3 and x=-3
Step-by-step explanation:
We need to solve the equation x^4 - 11x^2+18=0
We can replace x^4 = u^2 and x^2 = u
So, the equation will become
u^2 -11u+18 = 0
Factorizing the above equation:
u^2 -9u-2u+18 =0
u(u-9)-2(u-9)=0
(u-2)(u-9)=0
u=2, u=9
As, u = x^2, Putting back the value:
x^2 =2 , x^2 =9
taking square roots:
√x^2 =√2 ,√x^2=√9
x=±√2 , x = ±3
so, x=√2, x=-√2, x= 3 and x=-3
Answer:
2nd option, x > 1.10
Step-by-step explanation:

Add 5 to both sides,

Divided both sides by 7,


Apply Exponent Rule,


x > ln(3) or x > 1.09861
Learn more about logarithms here: brainly.com/question/12049968
Answer:
0
Step-by-step explanation:
Separate into two parts

Simplify:
This is for the first fraction



Now for the second fraction:



Add both parts together

To turn this into the said formula, that would become:

Where:
a=0
b=1
c=1
d=3
Any value with an exponent 0 except zero will be equal to 1