Rationalize the numerator:
This is continuous at 
, so we can evaluate the limit directly by substitution:
1. Move the negative sign to the left.
- 
*-50
2. Use this rule: 
=
-
3. Simplify - 
4. Move the negative sign to the left.
-(-950x/8)
5. Simplify 950x/8 to 475x/4
6. Remove parentheses.
Sin O = 1 / csc O = 2/9
cos O = sqrt (1 - (2/9)^2) = sqrt 77/81 = sqrt77 / 9
Answer:
y = -2x - 3
Step-by-step explanation:
Please look carefully at this graph. There are two red dots on the graph. The x- and y-coordinates of one are (-5,7) and those of the other are (0,-3).
Now as we move to the right, from (-5,7) to (0,-3), x increases by 5 and y decreases by 10 (note that 7-10 is -3). Thus, the slope of this line is
m = rise / run = -10/5, or m = -2.
Then the equation of this line, in point-slope form, is
y-7 = -2(x-[-5])x, or y-7 = -2(x+5). This is in point-slope form.
If you'd like to have it in slope-intercept form, manipulate y-7 = -2(x+5) as follows: (a) add 7 to both sides, obtaining y = -2(x+5) + 7, and (b) perform the indicated multiplication: y = -2x - 10 + 7, or y = -2x - 3.
Answer:
hypotenuse = aprox 18.6
Step-by-step explanation:
a^2 + b^2 = c^2
11^2 + 15^2 = c^2
346 = c^2
square root both sides
c = aprox 18.6
hope that helped!
