
<u>Step by step explanation:</u>
Step 1:

Step 2:

Step 3:

Step 4:

Step 6:

Answer: (0,1)
Step-by-step explanation:
If
and
are two point son a coordinate plane and (x,y) dividing it in a ratio of m: n.
Then , the coordinates of (x,y) is given by :-


Given : On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, - 3) and point B is at (- 4, 9).
Then , the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 :


Hence, the x- and y- coordinates of point E = (0,1)
Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:

Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

Substitute:

Solve for <em>k</em>. Simplify:

Solve:

Thus, our answer is indeed A.
Answer:
Mae's weekly salary plus 6.0% commision= $305
she makes in a work week after selling= 6/100 x$4400
=$264
Total weekly her earning= $305+$264
=$569
Step-by-step explanation:
If you mean 3 more terms in the sequence they could be
64, 32, 16, 8 ...
If you mean any 3 terms then 4096 1024 and 256 qualify.