40% of collage students scored more than 70% on a math test. 120 students scored below that. How many total students took the ma
1 answer:
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Given:
The equation of a line is:
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
For ,
For ,
Divide both sides by 2.
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
Using this rule, we get
Similarly,
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
Multiply both sides by 2.
Therefore, the equation of the line after the dilation is .
Answer:
Step-by-step explanation:
Given
Point (4,-5)
Required
Determine the line equation
From the question, we understand that the line is parallel to
This implies that they have the same slope, m
A linear equation is:
Where
By comparison: and
Next, we determine the line equation using:
Where
and
Hence,
<em>Option C is correct</em>
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Answer:
a) By graphing just one interval of length . b) Infinite number of angles, c) Infinite times.
Step-by-step explanation:
Any function is periodical when:
,
Where is the period of the function. The periodicity of the function allows us to limit the graphing of the function to just an interval of one period and according to the definition, you can expect same output with n different angles (infinite number of angles and same output infinite times).