A rectangle that is 10 wide and 10 high and 8 units long would have 800 cubic units
y-intercept: Let x = 0 and solve for y:
(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10
=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0
The solutions of this quadratic are y = 5 and y = -1.
Thus, the y-intercepts are (0, 5) and (0, -1).
Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:
(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.
Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:
x = 1 +√6 and x = 1 - √6, so that the x-intercepts
are (1+√6, 0) and (1-√6, 0).
Answer:
0.1725
Step-by-step explanation:
Angle1 = 90 degrees
Angle2 = 15 degrees
Angle3 = 75 degrees (because 180-15-90=75 and all angles equal 180 degrees)
Side1 = 300
Side2 = x (unknown)
Solve for x:
X / sin(15degrees) = 300 / sin(75degrees)
X = (300•sin(15degrees)) / sin(75degrees)
X = 80.38...
= 80
B is your answer. arithmetic has a consistent number. in this case its (-25)
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