What is the length of the conjugate axis?

(x-1)^2/25-(y+3)^2/9=1

Length of the conjugate axis is 6 units.

Step-by-step explanation:

Given Equation is ,

To find: Length of the conjugate axis.

We know that given equation is Equation of Hyperbola.

First Transverse Axis: Axis passing through the vertices is called the transverse axis. Length of the transverse axis is 2a.

Now, Conjugate Axis: Axis which is perpendicular to the transverse axis through the center is called the conjugate axis. Length of the Conjugate axis  is 2b.

Equation in standard form is written as ,

So, Comparing with Standard equation,

we get, a² = 25 ⇒ a = 5   and     b² = 9 ⇒ b = 3

Thus, Length of the conjugate axis = 2 × 3 = 6 unit

Therefore, Length of the conjugate axis is 6 units.

answer: f true

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: