The vector equation of the line through the origin perpendicular to the plane is
.. (x, y, z) = t(2, 3, -1)
so the point of interest will satisfy
.. 2(2t) +3(3t) -(-t) = -3
.. 14t = -3
.. t = -3/14
and its coordinates are (x, y, z) = (-3/7, -9/14, 3/14)
Answer is choice C) 4x^2-3x+9
You list off the terms in a way where the largest exponent term comes first, then the second largest exponent is next, and so forth. Note how the last term 9 is the same as 9x^0. The term 3x is equivalent to 3x^1. So what we really have is 4x^2-3x^1+9x^0. The exponents count down: 2, 1, 0
We use direct proportionality:
360⁰......Pi×R² (full circle)
120⁰.......x
x=120×pi×R²/360=pi×R²/3
x=pi×4²/3=16.76mi²
A=3×pi cm², for an angle of 2×pi/3=120⁰
In a similar way we compute the area of the full circle:
360.........x
120..........3×pi
x=3×pi×360/120=9×pi=3²×pi.
Thus the radius is 3cm.
The domain is anything x is and the range is anything y is. Therefore, to find the domain and ranges in #16 and #18, just copy down the numbers from the charts.
#16
Domain (x): 100, 120, 150, 170
Range (y): 5.4, 3.5, 2.7, 0.2
#18
Domain (x): 20, 25, 35, 40
Range (y): 12, 15, 21, 24
Answer:
Step-by-step explanation:
Let us assume that the total area of the wall to be painted is w.
Then Jason painted an area of (1/4)w on Monday
And he painted (2)(1/4)w on Tuesday
So to find the unpainted area, we just take the whole wall area to be painted (which is w) and subtract out the amounts painted on Monday and Tuesday, which are shown above.
So the unpainted area (U) would be shown by the following expression:
U = w - (1/4)w - (2)(1/4)w
We can simplify this expression by factoring out w
U = w(1 - 1/4 - 1/2)
U = w (1/4) or w/4
So all Jason needs to do is paint as much of the wall as he did on Monday, and he will be done!
