a cardboard shipping container is 2 feet long, 3 feet wide and 3 2/3 feet high. what is the volume of the container?
1 answer:
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Answer:
y = 8 is the equation of tangent.
Step-by-step explanation:
The equation of the tangent to the circle at (-6,8) is of the form:
y = mx + c
where m is the slope of the tangent and c is the y-intercept.
The point (-6,8) lies on the circle and the tangent line as well.
Hence (-6,8) satisfies the line equation:
8 = m(-6) + c ⇒ c-6m = 8 -------------1
We know that slope of two perpendicular lines are related as:
At any point on the circle, the normal line at a point is always perpendicular to the tangent line at that point.
Hence :
We can find the slope of the normal at point (-6,8) as it passes through the centre of the circle (-6,4) by using the two-points formula for slope.
= ∞
Slope of the normal is infinity and hence slope of tangent is -1/∞ = 0
Hence m=0
Putting m=0 in equation 1 we get:
c = 8
The equation of tangent line at (-6,8) is:
y = 8
Fractions
We are going to be checking each statement in order to find which of them are correct:
<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.
<h2>4/6 < 5/8 - 4/6 is smaller than 5/8</h2>
We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.
<h2>2/6 = 3/8 - 2/6 is equal to 3/8</h2>
We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.
<h2>3/6 = 4/8 - 3/6 is equal to 4/8</h2>
We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.
<h2>Answer: 3/6 = 4/8</h2>