Step-by-step explanation:
p² + q² + 5(p² + q²)
= 1(p² + q²) + 5(p² + q²)
= (1 + 5)(p² + q²)
= 6(p² + q²).
For this problem you are going to need to know the point-slope equation which is:
y-y₁=m(x-x₁)
Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.
It should look like this:

Since all they are asking for is for you to put it into a formula this will be your answer.
Answer:
<em><u>The number of students that like only Nokia </u></em>
<h2>= 30</h2>
Step-by-step explanation:
consider N the number of students who like Nokia → N=?
T the number of students who like Techno → T=35
Statement 1: In a class of 40 students, 5 like neither Nokia nor Techno
we can translate it like this: 35 student like Nokia or Techno
we can note it like this : T∪N= 35
Statement 2: 30 like Techno and Nokia
we can note it : T∩N = 30
using a rule concerning the number of element of a set :
T∪N = N + T - T∩N
then
35 = N + 35 - 30
⇒ N - 30 = 0
⇒ N = 30
A square has all sides of the same length. This means that the length and width are both 14 miles. The area of a square is Length times width, or 14 times 14. This comes out to be 196 miles squared
Answer:
Step-by-step explanation:
x^2+120=0 can be rewritten as x^2 = - 120. Taking the square root of both sides, we get x = plus or minus i*√120 = plus or minus i*√4√30, or
x = plus or minus i*2√30
So the correct answer choice here is "None of the above."