<span>if you're finding the x intercept, y is ALWAYS 0, so in this, you can just get rid of the -4y because you know that it's 0, so you're left with 2x=12 divide by 2 on both sides so you find x intercept is (6,0) on the graph
the y works the same way, if you're looking for the y, you know that the x is zero, so you're left with -4y=12, divide by -4y on both sides and you end up with the y intercept being (0,-3)
x int.= (6,0)
y int.= (0,-3)
by the way, when it's written like that, it's called standard form, so to find the intercepts on 2x=12+4y, you'd have to convert it into standard form (Ax=By=C) so you subtract 4y on both sides to make it 2x-4y=12, and then once you have it like that you can do the math to find the y and x intercepts.
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Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
Answer:
model measurement = actual measurement / 110
Step-by-step explanation:
(I believe you have a typo in your answer where the scale is 1:110. Hard to believe one would make a model house 110 times the size of a physical house, haha!)
Answer:
(4,1)
Step-by-step explanation:
The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).
To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.
To find the y-coordinate, input the x=4 and solve for y.

The vertex is (4,1).