9514 1404 393
Answer:
19
Step-by-step explanation:
u =<2,5> v=<7,1>
The dot product is the scalar sum of products of corresponding components:
u·v = 2·7 + 5·1 = 14 +5 = 19
The dot product is 19.
When a triangle is a 45-45-90 triangle, the following rules apply:
-the 2 legs are equal lengths
- the length of the hypotenuse is: the square root of 2 x the length of a leg.
- the length of the leg is: hypotenuse divided by the square root of 2.
if the hypotenuse is 10, then 10 divided by the square root of 2 is how you find the leg.
the square root of 2 is <span>1.41421356237.
10 divided by </span>1.41421356237 is <span>7.07106781188, which can be rounded to about 7.1. The length of one leg is about 7.1 units!</span>
Answer:
1. x = +/- 2
- 7
2. x = 
+/- 
3. n = 
+/- 
Step-by-step explanation:
1. Divide both sides by 2: (x + 7)^2 = 8
Square root both sides: x + 7 = +/- 2
Subtract 7 from both sides: x = +/- 2 - 7
2. Square root both sides: x - 3 = 
Since there is a negative inside the radical, we need to have an imaginary number: 
. So, 
Add 3 to both sides: x = +/-
3. Divide by -5 from both sides: (n - 2)^2 = -2
Square root both sides: n - 2 = 
Again, we have to use i: 
Add 2 to both sides: n = +/-
Hope this helps!
First we find the factors
a^3-8 is the differnce between 2 perfect cubes and is factored out to
(a-2)(a^2+2a+4)
the factors are (a-2) and (a^2+2a+4)
a^4+16
this is not factorable, unless you mistiped it and it was really a^4-16
the factor is 1
a^3+2a^2+4a
factor out the a
a(a^2+2a+4)
this is the most factored out form
the factors are (a) and (a^2+2a+4)
there are no common factors except 1 so 1 is the answer
To find the total people, divide the number of people that made a purchase by the percentage:
45 / 0.30 = 150 people entered.
