Answer:
d = 5
Step-by-step explanation:
Pythagorean Theorem
a^2 = b^2 = c^2
3^2 + 4^2 = 9 + 16 = 25
sqrt.25 = 5
16 + (-3) = (n+3) + (-3)
N = 13
Answer:
y = - (x - 3)² + 15
Step-by-step explanation:
using the method of completing the square
y = x² + 6x + 6 ← factor out - 1 from the first 2 terms
y = - (x² - 6x) + 6
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = - (x² + 2(- 3)x + 9 - 9) + 6
= - (x - 3)² + 9 + 6
= - (x - 3)² + 15
Solve for x:10 - (7 x^2)/3 + X^4/3 = 0
Subtract X^4/3 + 10 from both sides:-(7 x^2)/3 = -X^4/3 - 10
Multiply both sides by -3/7:x^2 = X^4/7 + 30/7
Take the square root of both sides:Answer: x = sqrt(X^4/7 + 30/7) or x = -sqrt(X^4/7 + 30/7)