Answer:
- equation: d(h) = 0.25|h -1600| -400
- depth is 250 ft at 1000 ft and 2200 ft from the west edge
Step-by-step explanation:
The crater shape can be modeled by an absolute value function with a slope of 0.25. The vertex of the function will not be at (0, 0) but will be at (1600, -400). The usual methods of translating functions apply. Horizontal displacement of the vertex is subtracted from the independent variable; vertical displacement is added to the function value.
d(h) = 0.25×|h -1600| -400
We know the horizontal displacement is 1600 ft, because the depth changes at a rate of 1/4 foot for each horizontal foot. A depth change of 400 feet will require 1600 horizontal feet to accomplish.
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At a depth of 250 ft, the distance from the west edge can be found from ...
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600| . . . . . . . . add 400
600 = |h -1600| . . . . . . . . . . . multiply by 4
This resolves to two equations:
- -600 = h -1600 ⇒ h = 1000
- 600 = h -1600 ⇒ h = 2200
The depth is 250 ft at distances of 1000 ft and 2200 ft from the west edge.
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<em>Comment on the equation</em>
We have chosen to make depths be negative numbers. If you want the equation to give positive numbers for depth, multiply it by -1:
d = 400 -0.25×|h -1600|
So here is what we have
12 is what we need
out of the 84 we have
so...
12/84= .1428571429
and lets check our work
.1428571429 X 84 = 12
now lets convert it to a percent
.1428571429 X 100 = 14.28571429%
so the answer is
14.28571429%
You can solve the system of equations.
Multiply the first equation by -3 and add to the second equation.
-3x - 3y = -72
3x + 5y = 100
(add) --------------------------
2y = 28
y = 14
x + y = 24
x + 14 = 24
x = 10
Answer:
There are 10 3-points questions and 14 5-point questions.
Check: 10 + 14 = 24 There are 24 questions
10 * 3 + 14 * 5 = 30 + 70 = 100 The total number of points is 100.
Our answer is correct.
Answer:
D. -N
Step-by-step explanation:
Our four given expressions are:
A. |-N|
B. -(-N)
C. |N|
D. -N
The | | symbols represent absolute value, which is the distance from the value within the two lines and 0; essentially since it measures distance, absolute value always outputs a positive value.
In choice A, we have |-N|, which means the distance between -N and 0. Well, the distance will simply be N, which is equal to N. Eliminate A.
In choice B, we have -(-N). Double negatives signal that they will cancel out to become positive, so -(-N) = N. Eliminate B.
In choice C, we have |N|, which means the distance between N and 0. This is clearly just N, so eliminate C.
In choice D, we have -N, which denotes "negative N". Clearly, "negative N" (-N) is not the same as "positive N" (N), so D is the answer.
<em>~ an aesthetics lover</em>
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below for the step by step explanation to the question above.
