X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
By applying <em>reflection</em> theory and constructing a <em>geometric</em> system of two <em>proportional right</em> triangles, the height of the stainless steel globe is approximately 140 ft.
<h3>How to estimate the height of the stainless steel globe</h3>
By physics we know that both the angle of incidence and the angle of reflection are same. Thus, we have a <em>geometric</em> system formed by two <em>proportional right</em> triangles:
5.6 ft / 4 ft = h / 100 ft
h = (5.6 ft × 100 ft) / 4ft
h = 140 ft
By applying <em>reflection</em> theory and constructing a <em>geometric</em> system of two <em>proportional right</em> triangles, the height of the stainless steel globe is approximately 140 ft.
To learn more on geometry: brainly.com/question/16836548
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Ha. That looks alot like i-ready. (i-ready sucks butt.)
But the horror that is i-ready aside, your answer is the third one : The proportion of grandparents that feel safe entering their account information online is 0.32.
32% converted to a decimal is 0.32, and 68% converted to a decimal is 0.68. That would mean that the proportion for grandparents that feel safe doing so is 0.32, and the number of grandparents that don't feel safe doing so is 0.68.
Answer:
MAMMAAAAAAA OOOooOOOoooOOO
Step-by-step explanation:
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