Since it is a right triangle, then a^2+b^2=c^2, and a=sqrt(c^2 - b^2),
a=sqrt(361-144)=14.73
the answer is 14.73
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
Given
f(x) = 4(x + 6)² + 5 ← expand (x + 6)² using FOIL
= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4
= 4x² + 48x + 144 + 5 ← collect like terms
= 4x² + 48x + 149 ← in standard form
Step-by-step explanation:
Putting values of a and b
8(1/4) - 1 + 0.5(10)
2 - 1 + 5
1 + 5
= 6
The distance between two points is the length of the shortest path between them. This shortest path is called a geodesic.
Differentiate implicitly using the power rule:
<span>12x^2 + 15y^2y' = 0 </span>
<span>Make y' the subject: </span>
<span>15y^2y' = -12x^2 </span>
<span>y' = -(4x^2) / 3y^2 </span>
<span>Differentiate again using the quotient rule: </span>
<span>y'' = [-8x(3y^2) - 6yy'(-4x^2)] / 9y^4 </span>
<span>y'' = (-24xy^2 + 24x^2yy') / 9y^4 </span>
<span>Simplify: </span>
<span>y'' = (-8xy + 8x^2y') / 3y^3 </span>
<span>Substitute (4x^2) / 3y^2 back for y': </span>
<span>y'' = (-8xy + 8x^2 * 4x^2 / 3y^2) / 3y^3 </span>
<span>y'' = (-24xy^3 + 32x^4) / 9y^5</span>