Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²
Now the equation is in the form (x - h)² + (y - k)² = r²
Radius = 10
The conversion is
x = magnitude × cos(angle)
y = magnitude × sin(angle)
or
(x, y) = 120.2(cos(119°), sin(119°)) ≈ (-58.27, 105.13)
_____
A suitable graphing calculator handles this easily.
Answer:
a =3
b = -5
c = 4
Step-by-step explanation:
3x^2+4=5x
Subtract 5x from each side
3x^2-5x+4=5x-5x
3x^2-5x+4=0
The equation is in the form
ax^2 +bx+c =0
a =3
b = -5
c = 4
Answer:
22.5 feet (to the nearest tenth).
Step-by-step explanation:
The equations have not been given but still the question can be solved. The ladder lying with a building makes a right angled triangle, in which the ladder is the hypotenuse, the building is the perpendicular, and the ground is the base. The length of the ladder (hypotenuse) is 26 feet and the angle with the ground is 60 degrees. The required length to be found is the length of the building (perpendicular). So the following formula will be used:
sin θ = Perpendicular/Hypotenuse.
Substituting in the equation gives:
sin60 = p/26.
p = 26*sin60.
p = 22.5 (to the nearest tenth).
The approximate height of the building is 22.5 feet!!!
Haha, part of my final today was about this! Don't worry, I got you!
y=2/3x-4
(the 2/3 is supposed to be a fraction)
