Lauren earns $13 per hour at her after school job. If she has worked 64 hours at this job, how much has Lauren earned total?
1 answer:
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Answer:
2) c) (x-3)² + (y+2)² = 25
5) x^2 +y^2 -8x -16y +54 = 0
6) x^2 +y^2 -10x -12y +36 = 0
Step-by-step explanation:
2) The standard form equation for a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...
(x -3)^2 +(y +2)^2 = r^2
Since we know a point on the circle we know that ...
(7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25
So, the circle's equation is ...
(x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C
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5) As in the previous problem, the standard form equation is ...
(x -4)^2 +(y -8)^2 = (-1-4)^2 +(7-8)^2 = 25+1 = 26
To put this in general form, we need to subtract 26 and eliminate parentheses.
x^2 -8x +16 +y^2 -16y +64 -26 = 0
x^2 +y^2 -8x -16y +54 = 0
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6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.
(x -5)^2 +(y -6)^2 = 5^2
x^2 -10x +25 +y^2 -12y +36 = 25
x^2 +y^2 -10x -12y +36 = 0
Answer: The boxer lose 1.8 kg in the final week to get able to compete as a flyweight.
Step-by-step explanation:
Since we have given that
Quantity of weight a boxer needs to lose in a month is given by
In 3 months, he lowers his weight from 55.5 kg to 53.8 kg.
So, Quantity of weight he lose in three months is given by
Number of kilograms the boxer lose in the final week to be able to compete as a flyweight is given by
Hence, the boxer lose 1.8 kg in the final week to get able to compete as a flyweight.