Complete the square
first isolate x terms
y=(x^2-4x)-9
complete square inside (take 1/2 of square of b )
-4/2=-2, (-2)^2=4
add 4-4 inside
y=(x^2-4x+4-4)-9
complete the square
y=((x-2)^2-4)-9
y=(x-2)^2-4-9
y=(x-2)^2-13
Use trigonometry.
tan30° = perpendicular / base
Here for angle 30° , x is perpendicular while 10 is the base.
tan30° = 1/√3
1/√3 = x/10
x = 10/✓3
By rationalising
x = 10√3/3
Hope This Helps You!
Answer: 2
(The slope is always the coefficient of the independent variable, in this case x . The slope is therefore 2.)
<span>52 can be broken down to the following
2*26 =52
2*(2*13) <---13 x 2=26 x 2=52
2*2*13 or 2^2*13 <--BOTH mean the same thing :) </span><span>
</span>
128 ounces in a gallon
The pack is 33.84 ounces in total
gallon for 7=18 cents per ounce
pack for 2.39 is .07 cents per ounce
So the pack is a better deal