Y = 12x is a direct variation which is a proportion.
As x increases y also increases.
By the Pythagorean Theorem:
The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:
h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:
9.4^2=6.8^2+GF^2
GF^2=9.4^2-6.8^2
GF^2=42.12
GF=√42.12 units
GF≈6.49 units (to nearest hundredth of a unit)
Answer:

Step-by-step explanation:
3a²*2a³ = (2*3)(a² *a³)= 
Answer:
x = -15 and x = 1
Step-by-step explanation:
Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form
.
This results in
.
Next, we <u>simplify the equation</u> to get
.
<u>Factoring </u>the left side gives us
.
Finally we <u>solve the equations</u>:
and
.
This gives us x=1, and x=-15