Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
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<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
It is in the thousands place.
The first step is to find the relationship between the square base and the surface area.
Surface area (SA) = area of the square (SS) + area of triangles.4(AT)
Thus we can conclude area of triangles 4(AT) = SA - SS = 864 - (18*18)
4(AT) = 864 - 324 = 540
Each triangle = 540/4 = 135 square in.
An area of one triangle (AT)= (base* slant height)/2
The base = 18 in.
<span>slant height = 2(AT)/base = 2(135)/18 = 15</span>
Answer:
D
Step-by-step explanation:
times all the numbers together