SOLUTION
From the question, the center of the hyperbola is
a is the distance between the center to vertex, which is -1 or 1, and
c is the distance between the center to foci, which is -2 or 2.
b is given as
![\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2%3Dc%5E2-a%5E2%20%5C%5C%20b%5E2%3D2%5E2-1%5E2%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B3%7D%20%5Cend%7Bgathered%7D)
But equation of a hyperbola is given as
Substituting the values of a, b, h and k, we have
![\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%28x-0%29%5E2%7D%7B1%5E2%7D-%5Cfrac%7B%28y-0%29%5E2%7D%7B%5Csqrt%5B%5D%7B3%7D%5E2%7D%3D1%20%5C%5C%20%5Cfrac%7Bx%5E2%7D%7B1%7D-%5Cfrac%7By%5E2%7D%7B3%7D%3D1%20%5Cend%7Bgathered%7D)
Hence the answer is
Answer:
x=3.5
Step-by-step explanation:
subract 5 on the other side, than divide by 2
First you would need to Simplify <span>{3}^{2}<span>3<span>2</span></span></span> to <span>99
Next you would need to : </span>Use Negative Power Rule =9÷31
<span>
then you would need to use a ÷ b/c = a * c/b and get 9*3
And you will lastly get 27</span>
Answer:
x² - 4x + 3
Step-by-step explanation:
When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.
(x−3)(x−1) Expand with FOIL
= x² - x - 3x + 3 Collect like terms
= x² - 4x + 3
