9514 1404 393
Answer:
(a) 4/3
(b) y -3 = 4/3(x -1)
(c) y -3 = -3/4(x -1)
(d) r = 5
Step-by-step explanation:
a) The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (7 -3)/(4 -1) = 4/3
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b) The radius is normal to the circle. The point-slope form of the equation for a line can be useful here:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For slope 4/3, the line through point (1, 3) will have the equation ...
y -3 = 4/3(x -1) . . . . point-slope equation of the normal
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c) The tangent is perpendicular to the radius. It will have a slope that is the opposite reciprocal of the slope of the radius: -1/(4/3) = -3/4.
y -3 = -3/4(x -1) . . . . point-slope equation of the tangent
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d) The radius can be found from the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -1)² +(7 -3)²) = √(3² +4²) = √25 = 5
The radius of the circle is 5.
Answer:
20%
Step-by-step explanation:
According to the Question,
Given that, The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table.
Year Number of Subscribers Percentage increase(20%)
2010 320000
2011 384000 320000 × 1.20 = 384000
2012 460800 384000 × 1.20 = 460800
2013 552960 460800 × 1.20 = 552960
2014 663552 552960 × 1.20 = 663552
2015 796262 663552 × 1.20 = 796262
- The percent increase in the average number of subscribers each year since 2010 was 20% .
✿————✦————✿————✦————✿
This is the answer:
✿————✦————✿————✦————✿
Step:
* To raise a power to another power, multiply the exponents. Multiply 1/2 and −2 to get −1.
* To raise a power to another power, multiply the exponents. Multiply −1/4 and −2 to get 1/2.
<span>(100 km/hour) x (1,000 m/km) x (1
hour/3600 sec) = 27 and 7/9 meters per sec.
If you round the
number, it could become approximately 27.8 or even 28 .</span>
Answer:
how much does it cost for one??
Step-by-step explanation:
