Graph the hyperbola with equation quantity x plus 3 squared divided by 25 minus the quantity of y plus 5 squared divided by 4 =
1
2 answers:
Answer:
Step-by-step explanation:
As we know the general formula of the hyperbola is:
(x-h)²/a² - (y-k)²/b² = 1, where
- (h,k) is the center
- a is the semi-major axis
- b is the semi-minor axis
In this situation, the equation is:
(x+3)²/25 - (y+5)²/4 = 1
=> the center is: (-3, -5)
a = 5
b = 2
- As we know their slopes are +/-
so
-5 = +2/5 (-3) + b ---> b= -3.8
-5 = -2/5 (-3) + b ---> b= -6.2
Hence, you plot the equations y=2/5x -3.8 and y = -2/5 x - 6.2 by assigning values of x and plotting them against y as the attached photo.
Hope it will find you well.
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Hi student, let me help you out! :)
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We are asked to find the equation of the line, using the given information:
, which is the slope
which is a point that the line contains
- The slope is the number before x, in the form
.
Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:
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Now, we need to find the y intercept, "b", of the line.
Here's how it's done:
Remember the point that the line contains, (1,2)?
Well, its y-coordinate is 2; so what we do is substitute 2 for y:
Also, its x-coordinate is 1, so we substitute 1 for x:
Now, solve for b:
Add 3 to both sides:
Thus, we have
Thus, the equation of the line is:
Hope it helps you out! :D
Ask in comments if any queries arise.
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Converting to base 10 can be done easily by writing a sort of digit expansion. In base 6, this number literally means
Simplifying this gives the value in base 10.
Simplifying this gives the value in base 10.