Answer:
12 x 12 = 144, 12 x 13 = 156
Step-by-step explanation:
Answer: f(x) = –3x + 14
Step-by-step explanation:
The point slope form of an equation is expressed as
y - y1 = m(x - x1)
The given equation is
y + 1 = –3(x – 5)
Comparing with the point slope equation,
y1 = - 1
Slope, m = - 3
x1 = 5
The equation of a straight line can also take the slope intercept form,
y = mx + c
Where
m is the slope(change in y /change in x)
c represents the intercept.
We would determine the intercept by substituting x = 5 , y = -1 , m = - 3, into y = mx + c. It becomes
- 1 = - 3 × 5 + c
- 1 = -15 + c
c = - 1 + 15 = 14
The equation becomes
y = -3x + 14
Mixed 2 4/10 or
Simplist 2 2/5
Answer:
1 1/20
Step-by-step explanation:
Answer:
The equation of the hyperbola is x²/60² - y²/11² = 1 ⇒ 1st answer
Step-by-step explanation:
* Lets study the equation of the hyperbola
- The standard form of the equation of a hyperbola with
center (0 , 0) and transverse axis parallel to the x-axis is
x²/a² - y²/b² = 1
* Where:
# the length of the transverse axis is 2a
# the coordinates of the vertices are (±a , 0)
# the length of the conjugate axis is 2b
# the coordinates of the co-vertices are (0 , ±b)
* Now from the graph
- The center of the hyperbola is (0 , 0)
- The vertices of the hyperbola are (-60 , 0) and (60 , 0)
∴ a = ± 60
∴ a² = 60²
- The co-vertices of the hyperbola are (0 , -11) and (0 , 11)
∴ b = ± 11
∴ b² = 11²
* Substitute the values of a² and b² in the form of the equation
∴ x²/60² - y²/11² = 1
* The equation of the hyperbola is x²/60² - y²/11² = 1
