Answer:
Option A - ∑Fx and ∑τz and ∑Fy
Step-by-step explanation:
All the force will be in x and y plane only
So Torque will be in z plane
These 3 quantities should be 0
∑Fx and ∑τz and ∑Fy
9514 1404 393
Answer:
- h = -2; k = 0; vertex = (-2, 0)
- h = 3; k = 0; vertex = (3, 0)
Step-by-step explanation:
Translation of a function to the right h units and up k units is accomplished by ...
g(x) = f(x -h) +k
Here, we have f(x) = |x|, so the translation will be ...
g(x) = |x -h| +k
or ...
y = |x -h| +k
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The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).
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You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.
1. y = |x +2|
h = -2, k = 0
vertex: (-2, 0)
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2. y = |x -3|
h = 3, k = 0
vertex: (3, 0)
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<em>Additional comment</em>
This is all about <em>matching patterns</em>. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).
Answer:
0.964
Step-by-step explanation:
It's easier to approach this problem if you find the prob. that z is less than -1.8 and then subtract your result from 1.00.
The prob. that z is less than -1.8 can be found using any calculator with probability and statistic functions.
The prob. that z is less than -1.8 = normcdf(-100,-8) = 0.036. Here "cdf" stands for "cumulative probability density function)," -100 is far to the left of z = -1.8, and the result (0.036) is the area under the standard normal probability density curve to the left of z = -1.8.
Finally, subtract this 0.036 from 1.000, obtaining 0.964. This is the probability that z is greater than -1.8.
It’s B ————————————………………
Answer:
a) 20 feet
Step-by-step explanation:
8ft shadow - 5ft
32ft shadow -
× 5ft = 20ft