Answer:
k = -3 or 5
Step-by-step explanation:
The given parameters are;
The line extends from points (-1, 1) to point (2, k)
The length of the line = 5 units
The formula for the length, l, of a line given its coordinates can be found by the following formula;
Therefore, we have;
Which, by squaring both sides, gives;
25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²
25 = (k - 1)² + 3² = k² - 2·k + 1 + 9
25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15
0 = k² - 2·k - 15
0 = (k +3) × (k - 5)
Therefore, k = -3 or 5
When k - -3, we have;
When k = 5, we have;
John's gross monthly salary is $2000.
John receives a 15% raise in his salary.
So first we have to find 15% of $2000.
15% of 2000 = 
= 
= 
= 
John's salary including the raise = $
= $2300.
Now 30% of his monthly paycheck withheld for taxes.
30% of 2300 = 
= 
= 
= 
So the amount of tax deducted = $690.
John's net monthly income = $ 
= $1610.
So we have got the required answer.
Answer:
L = s^2/(30.25Cd)
Step-by-step explanation:
In accident investigation, the speed of a vehicle can be estimated using a polynomial function that relates speed (s) to the length of skid marks (L). The drag coefficient Cd will depend on the condition of the road surface and tires, but might be expected to be between 0.7 and 0.8.
If the skid marks end in a collision, the length of the marks that might have been made can be estimated using this formula, then that length added to the actual length of marks to estimate the original speed. The speed at the point of collision can be estimated by the damage caused, and/or the movement created.
In the above formula, length is in feet, and speed is in miles per hour.
since the ∡C = ∡B, that means their corresponding sides stemming from the vertex A are equal, namely AC = AB.
2x - 24 = x - 2
x = 22.
