Answer:
t= - 48
Step-by-step explanation:
t/8 - 6= -12 add 6 to both side
t/8= -6 multiple by 8
t= -48
Answer:
x= -2-√11. or. x= -2 + √11
Step-by-step explanation:
solving quadratic equation by completing the square
x^2+4x-7=0
x^2+4x=7
x^2+4x + (4/2)^2=7 + (4/2)^2 ( adding (1/2 coefficient of x)^2 on both sides
x^2+4x + 4=7 + 4
x^2+4x + 4=11. factorize(x^2+4x + 4) into (x + 2)^2
(x + 2)^2=11
√(x + 2)^2= + - √11
x + 2 = + - √11
there are two different solution .
x + 2 = -√11. or x + 2 = + √11.
x= -2-√11. or. x= -2 + √11.
The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us
... hypotenuse² = (side1)² + (side2)²
... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information
... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²
... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root
The ladder reaches 11.6 feet high on the barn.
Answer:
x=-3
Step-by-step explanation:
rearrange terms
distribute
subtract the numbers
subtract 1 from both sides of the equation
simplify
The actual answer is 5.66666666
The reason is that because he made 238 over 42 months you divide 238$ by 42 months