For the points you've given, the correct answer is not listed! One way to solve the problem is just to use a graph -- the points are not far away from the origin, and they have whole number coordinates. (See graph.)
Slopt = "rise" / "run" so to get from (2, 2) to (4, 3), you "rise" +1 and "run" +2. The slope is 1/2.
If the points are (2, 2) and (4, 3), then the slope would be 2.
You can always use a formula to find the slope:
which tells the slope of a line joining points
and
.
The formula says
Slope = (second y minus first y) / (second x minus first x)
It always works unless
, in which case the line is vertical and has NO defined slope.
Your answer would be a segment.
360 + 8% commission on sales
so if she sold 4800 worth of stuff, then she would make :
360 + 0.08(4800) = 360 + 384 = 744 <==
Answer:
The variable a is how many minutes late Albin is.
Step-by-step explanation:
10.50=0.50a+3
The 10.50 is the charge for the late pickup
The 3 dollars is a flat fee for being late
The 0.50 dollars per minute for being late
The variable a is how many minutes late Albin is.
The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is
<h3>How to determine the equation of the hyperbola?</h3>
The given parameters are:
- Directrices at x = ±2
- Foci at (5, 0) and (−5, 0)
The foci of a hyperbola are represented as:
Foci = (k ± c, h)
The center is:
Center = (h,k)
And the directrix is:
Directrix, x = h ± a²/c
By comparison, we have:
k ± c = ±5
h = 0
h ± a²/c = ±2
Substitute h = 0 in h ± a²/c = ±2
0 ± a²/c = ±2
This gives
a²/c = 2
Multiply both sides by c
a² = 2c
k ± c = ±5 means that:
k ± c = 0 ± 5
By comparison, we have:
k = 0 and c = 5
Substitute c = 5 in a² = 2c
a² = 2 * 5
a² = 10
Next, we calculate b using:
b² = c² - a²
This gives
b² = 5² - 10
Evaluate
b² = 15
The hyperbola is represented as:
So, we have:
Evaluate
Hence, the equation of the hyperbola is
Read more about hyperbola at:
brainly.com/question/3405939
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