To solve this question, we just need to evaluate our set of points in the standard form equation of a Hyperbola, and find the coefficients. This will give to us the equation for our Hyperbola. The standard form is
Let's start with the easier points, the x-intercepts (5, 0) and (-1, 0).
Since this hyperbola has two x-intercepts, we're dealing with a horizontal hyperbola, and the center is the midpoint between the x-intercepts.
The center coordinates are (2, 0), then, our equation is
To find the missing coefficients, we can just substitute the remaining points and solve the system for a and b. Our final equation is
Use the subtraction method.
2 (x - 2y = 15) multiply top equation by 2 so we can subtract
2x - 4y = 30
2x + 4y = -18 (subtracted, we get 4x = 12...divide by 4...x = 3)
place the value for X into an original equation and solve for Y.
2(3) + 4y = -18
6 + 4y = -18
-6 -6
4y = -24 (divide by 4)
y = -6 Solution......(3, -6)
Answer:
Dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
given that depth of pool = 8 ft
let say one side of pool that is width = x
so other side of pool that is lenght = 3.5x [ given ]
volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft
Volume of rectangular pool = length × width × depth of swimming pool
⇒ 4032 cubic ft = 3.5x × x × 8
⇒ 4032/(3.5 ×8 ) = x²
⇒x² = 144
⇒x = √144 = 12
⇒3.5x = 12 × 3.5 = 42
hence dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Answer:
63,70
Step-by-step explanation:
63+70=133
63+7=70
6m=40hours
1m=40×6h
=240hours
4m=240÷4
=60 hours
divide 60 by 8
=7.5 days
thus,
4 men take 2 and 1/2 day more to complete the job.
Answer: 2 1/2days
