Which graph represents the following system of equations y=3x+3 y=-x-3
1 answer:
Answer:
See picture attached below.
Step-by-step explanation:
To graph the system, graph each line separately.
y = 3x + 3 ha slope 3 and y-intercept 3.
Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.
y=-x - 3 has slope -1 and y-intercept -3.
Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.
This graph is represented in the picture attached.
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Complete Question
A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:
a)F minimum
b) F maximum
c) Frequency resolution
Answer:
a)
b)
c)
Step-by-step explanation:
From the question we are told that:
Time
Frequency
Segments
Generally the equation for Frequency Range is mathematically given by
Therefore
a)
b)
c)
Generally the equation for Frequency Resolution is mathematically given by
Where
N=The Total dat points
N=Sampling Frequency *Time
Therefore
The questions are illustrations of trigonometry ratios and right triangles
- The value of x is 11.8310
- The tree is 23.3154 feet tall
- The depth of the sub is 376.7770 meters
Trigonometry ratio
Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.
<h3>Question 1</h3>The value of x is calculated using the following sine trigonometry ratio
Make x the subject
This gives
Hence, the value of x is 11.8310
<h3>Question 2</h3>This question is illustrated by the first diagram in the attached figure
The height (h) of the tree is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the tree is 23.3154 feet tall
<h3>Question 3</h3>This question is illustrated by the second diagram in the attached figure
The depth (h) of the sub is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
