9514 1404 393
Answer:
y +6 = -4/3(x -3)
Step-by-step explanation:
The slope of the line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -(-6))/(-3-3) = 8/-6 = -4/3
The point-slope form of the equation of a line through point (h, k) with slope m is ...
y -k = m(x -h)
Using the first of the given points, the equation becomes ...
y +6 = -4/3(x -3)
To find out the answer, we must see how big a centimeter and milimeter is to a standard meter 1 cm = 0.01 m 1 mm = 0.001 m 12 cm = 0.12 m 98 mm = 0.098 m, 12 cm is bigger
Answer:
a fraction in which the numerator is greater than the denominator, such as 5/4.
Step-by-step explanation:
The volume of a sphere is calculated through the equation,
V = 4πr³ /3
where r is the radius of the given.
If the radius is 2.86, we can substitute the value to the equation above such that,
V = 4π(2.86)³ / 3 = 97.99π m³
When the radius is 0.09 m plus the given radius then,
V = 4π(2.86 - 0.09)³ / 3 = 89.03π m³
The difference between the volumes is equal to,
difference = 97.99π - 89.03π m³ = 8.96π m³
Dividing this to the original volume and multiplying by 100%,
percentage = (8.96π/97.99π) x 100%
percentage = 9.14%.
Hence, the expected percent uncertainty is equal to 9.14%.
9514 1404 393
Answer:
2. chord theorem; t = 10.5
3. chord theorem; x = 5
Step-by-step explanation:
For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.
2. 20t = 10·21
t = 210/20 . . . . divide by 20
t = 10.5 . . . . . . . simplify
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3. 10(x +4) = 15(x +1)
10x +40 = 15x +15 . . . . . eliminate parentheses
25 = 5x . . . . . . . . . . . . . subtract 10x+15
5 = x . . . . . . . divide by 5
