<u>Answer-</u>
<em>The lines are two </em><em>coinciding lines</em><em> or the </em><em>same lines</em><em>.</em>
<u>Solution-</u>
The given line equations are
the first one,
the second one,
As we know two line equations
and
will be,
- Parallel if,
![\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}](https://tex.z-dn.net/?f=%5Cdfrac%7BA_1%7D%7BA_2%7D%3D%5Cdfrac%7BB_1%7D%7BB_2%7D)
- Coincide if,
![\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}](https://tex.z-dn.net/?f=%5Cdfrac%7BA_1%7D%7BA_2%7D%3D%5Cdfrac%7BB_1%7D%7BB_2%7D%3D%5Cdfrac%7BC_1%7D%7BC_2%7D)
- Intersect if,
![\dfrac{A_1}{A_2}\neq \dfrac{B_1}{B_2}](https://tex.z-dn.net/?f=%5Cdfrac%7BA_1%7D%7BA_2%7D%5Cneq%20%5Cdfrac%7BB_1%7D%7BB_2%7D)
As here,
![\Rightarrow \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7BA_1%7D%7BA_2%7D%3D%5Cdfrac%7BB_1%7D%7BB_2%7D%3D%5Cdfrac%7BC_1%7D%7BC_2%7D)
![\Rightarrow \dfrac{1}{1}=\dfrac{-5}{-5}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B1%7D%7B1%7D%3D%5Cdfrac%7B-5%7D%7B-5%7D)
(C₁ and C₂ aren't considered as they are 0)
Therefore, the lines are two coinciding lines or the same lines.
20 cats * ( 1 bag of food / 5 cats per month ) = 4 bags of food per month to feed all 20 cats
Algebra is really easy when you try your hardest. What seems to be troubling you friend?
Answer:
The discriminant is −4, so the equation has no real solutions.
Step-by-step explanation:
In the equation 0 = x² - 4x + 5, a is 1, b is -4, and c is 5.
Plug in these values into b² - 4ac, and simplify:
b² - 4ac
(-4)² - 4(1)(5)
16 - 20
= -4
So, the discriminant is -4. This means that the equation has no real solutions, because the discriminant is a negative number.
The correct answer is that The discriminant is −4, so the equation has no real solutions.