We can use the Pythagorean theorum
a^2+b^2=c^2
c^2 is the length of the longest side squared
so
6^2 + b^2 = 10^2
36+ b^2 = 100
-36 -36
b^2 = 64
b = 8
b is the same thing as your "x", so x = 8
A² = b² + c² - 2bc cosA
a² = 10² + 14² - 2*10*14 cos54
a² = 100 + 196 - 280 * cos54
a =
a = 11.46
$900+ $288( interest after 8 years)= $1, 188( total balance)
(-3,2)
Explanation: u just have to find the point where the two line intersects to each other
The axis of symmetry for this parabola is the x-axis. The general form of the equation is:
4p(x-h) = (y-k)^2
where the focus has the coordinates of (h+p,k)
Manipulating the given equation to the general form:
4(1/3)(x-7)^2 = (y - 0)^2
Therefore the coordinates of the focus is:
(7+(1/3),0)
The answer is A.) (71/3,0)