Answer (<u>assuming it can be in slope-intercept form)</u>:
y = -x - 1
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.
1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, 
. I chose the points (0, -1) and (-1, 0):
Thus, the slope is -1.
2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.
3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:
0x39=n
anything times zero = zero so that mean n = 0
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
Here:
Thus,
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
The figure shows that N is the vertex of a right triantle.
The opposite leg to N measures 5.74, the adjacent leg to N measures 4 and the hypotenuse measures 7.
Then you can states these ratios:
sin(N) = opposite leg / hypotenuse = 5.74 / 7 => N = arcsin(5.74 / 7) = arcsin(0.82) = 55.08 °.
cos(N) = adjacent leg / hypotenuse = 4 / 7 => N = arccos(4/7) = 55.15°
tan(N) = opposite leg / adjacent leg = 5.74 / 4 => N = arctan (5.74/4) = 55.13°.
Of course, you do not need to do the three calculations. I did it just to show you.
Answer: the value of N to the nearest whole degree is 55°
