Let the initial point of the vector be (x,y). Then the magnitude of the vector v can be written as:

The magnitude of vecor v is given to be 10. So we can write:

Now from the given options, we have to check which one satisfies the above equation. That point will be the initial point of the vector.
The point in option d, satisfies the equation.
Thus, the answer to this question is option D
Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

The coefficient of the x is the slope

The slope of the perpendicular line is the negative reciprocal of m, thus

We know the second line passes through (2,3). That is enough information to find the second equation:


Operating

Simplifying

That is the equation in slope-intercept form. Intercept: y=4
Answer:
y=0.75x+5
Step-by-step explanation:
x=20
y=20
20-5=15
15/0.75=20
20 games
The probability of drawing the initial Jack is 4 out of 52 as there are 4 Jacks in deck of 52 cards. Since you are not replacing the Jack the Deck now has 51 cards and 3 Jacks making that 3 out of 51
Answer:
D or 3
Step-by-step explanation:
The equation you are saying is
-x = x-6
If you move both x's to one side, you get
-2x = -6
From this, you can simplify by dividing by -2
x=3, or D.
Hope this helped!