Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ± 
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
Answer:
x=-4 y=5
Step-by-step explanation:
Rewrite equations:
x=−4y+16;3x+4y=8
Step: Solvex=−4y+16for x:
x=−4y+16
Step: Substitute−4y+16forxin3x+4y=8:
3x+4y=8
3(−4y+16)+4y=8
−8y+48=8(Simplify both sides of the equation)
−8y+48+−48=8+−48(Add -48 to both sides)
−8y=−40
−8y
−8
=
−40
−8
(Divide both sides by -8)
y=5
Step: Substitute5foryinx=−4y+16:
x=−4y+16
x=(−4)(5)+16
x=−4(Simplify both sides of the equation)
Answer:
x=−4 and y=5
Answer:
2
Step-by-step explanation:
The given angle is 45 degrees so the triangle has the same legs.
we can find the hypotenuse by using the Pythagorean theorem
y= √2(√2)^2 = √4 = 2
Answer:
ewrwewqetqwrtweq
Step-by-step explanation:
Answer:
r^2=(A/pi)
Step-by-step explanation:
if A=pi*r^2 then maybe dividing by pi to get r^2 alone says r^2=(A/pi) or to get rid of the exponent you may square root each side so r=(sqrt(A/pi))
