What is the equation of the graphed line written in standard form?
1 answer:
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Answer:
The y-intercept and x-intercept of the line are 2 and -4 respectively.
Step-by-step explanation:
Given equation of line -x + 2y = 4
We have to find the y-intercept and x-intercept of the line.
Consider the given equation of line -x + 2y = 4
the y-intercept of line is the point where the line touches y axis and we know at y axis the coordinate of x is 0.
Thus, putting x = 0 in line equation , we get,
-(0) + 2y = 4
⇒ y =
⇒ y = 2
the x-intercept of line is the point where the line touches x axis and we know at x axis the coordinate of y is 0.
-x + 2(0) = 4
⇒ x = - 4
Thus, the y-intercept and x-intercept of the line are 2 and -4 respectively.
Answer:
53 lies between 7.2² and 7.3²
Step-by-step explanation:
Estimating a root to the nearest tenth can be done a number of ways. The method shown here is to identify the tenths whose squares bracket the value of interest.
You have answered the questions of parts 1 to 3.
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<h3>4.</h3>You are given that ...
7.2² = 51.84
7.3² = 53.29
This means 53 lies between 7.2² and 7.3², so √53 lies between 7.2 and 7.3.
53 is closer to 7.3², so √53 will be closer to 7.3 than to 7.2.
7.3 is a good estimate of √53 to the tenths place.
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<em>Additional comment</em>
For an integer n that is the sum of a perfect square (s²) and a remainder (r), the square root is between ...
s +r/(2s+1) < √n < s +r/(2s)
For n = 53 = 7² +4, this means ...
7 +4/15 < √53 < 7 +4/14
7.267 < √53 < 7.286
Either way, √53 ≈ 7.3.
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The root is actually equal to the continued fraction ...
