Answer:
x = 8.6603 m
Step-by-step explanation:
If x is the length of a side of the square, the area of the square will be x^2.
So, if the area of the square is 75 ft2, we can formulate the quadratic equation:
x^2 = 75
Now, solving the equation, we just need to make the square root of 75:
x = sqrt(75) = ±8.6603
x1 = 8.6603
x2 = -8.6603
Now, as x represents the length of a side of the square, and measurements can't be negative, we take only the positive value, so:
x = 8.6603 m
Answer:

Step-by-step explanation:
We are given;
A geometric sequence;
-2,10,-50
Required to determine the nth term
The nth term in a geometric sequence is given by the formula;

where
is the first term and r is the common ratio;
In this case;

r = 10 ÷ -2
= -5
Therefore;
To get the nth term in the given geometric sequence we use;

Thus, the nth term is 
The inclusion/exclusion principle states that

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).
Therefore,

will have the most elements when the sets

and

are disjoint, i.e.

, which would mean the most we can can in this case would be

(Note that

denotes the cardinality of the set

.)
Answer:
p=-7
Step-by-step explanation:
-11+10(p+10)=4-5(2p+11)
Firstly, expand the bracket
-11+10p+100=4-10p-55
Next, you collect like terms
10p+10p=4-55-100+11
20p=-140
Divide through by the coefficient of p
20p/20=-140/20
p=-7
I’m very confused what are you trying to do here ?