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1 answer:
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Answer:
The correct answer is C.
Step-by-step explanation:
In the equation of a circle, if the variable and
are added or subtracted by any number before being squared, the entire circle with be translated in the opposite amount that was added or subtracted to the circle. For example,
shifts the center 8 to the right and up of the origin,
shifts the center 1 to the left and 4 down of the origin. Since the circle represented in the graph is centered directly on the origin, that means the equation will have
, which helps you eliminate choices A and C. For the equation of a circle, the radius is the value of the constant on the right side of the equal sign taken to its square root. Since the radius of this circle is 8, that means the constant at the right side of the circle would be 64 or
, so the correct answer would be choice C:
.
Answer:
Step-by-step explanation:
<u>Absolute Value Inequality</u>
Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.
Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.
The variation (unsigned) from the ideal width is:
The question requires that the variation is at most 0.45 cm. That poses the inequality:
That is the range of acceptable widths. Let's now solve the inequality.
To solve an inequality for an absolute value less than a positive number N, we write:
This is a double inequality than can be easily solved by adding 6 to all the sides.
Operating:
That is the solution in inequality form. Expressing in interval form:
