R(s + t) = st
Rs + Rt = st
Rs - st = -Rt
s ( R - t) = -Rt
*s = - Rt / (R - t) Multiply through by -1 on the right.
*s = Rt / (t - R) Put in the brackets in your answer. What you have been writing means
s = Rt/r - R you need the brackets. The stars mean that either could be an answer. I think your problem could be the brackets. Now I'm reasonably certain this is correct.
Answer:
No
Step-by-step explanation:
plug (6,3) into the given equation to find out
3 = 4(6-5)
3 = 4(1)
3 = 4
since 3 does not equal 4, the point (6,3) does not satisfy the equation y=4(x-5)
Answer:
y = (2/5)x + 3
Step-by-step explanation:
Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5). First we find the slope of this line: m = rise/run.
As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise). Thus, the slope of this line is m = 2/5.
Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3. Then our equation is y = mx + b, or y = (2/5)x + 3
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76
So than there are
1x -5y =15
-1x +5y = -15
--------------------assuming term by term we get
0 0 = 0
so from what result that this system has infinitely many solutions
hope helped
