Option 1
The discriminant of given equation is 116
<em><u>Solution:</u></em>
We have to find the discriminant of given equation
<em><u>Given equation is:</u></em>
![f(x) = 4x^2+6x-5](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%5E2%2B6x-5)
To find discriminant,
![4x^2+6x-5 = 0](https://tex.z-dn.net/?f=4x%5E2%2B6x-5%20%3D%200)
![\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0](https://tex.z-dn.net/?f=%5Ctext%20%7BFor%20a%20quadratic%20equation%20%7D%20a%20x%5E%7B2%7D%2Bb%20x%2Bc%3D0%2C%20%5Ctext%20%7B%20where%20%7D%20a%20%5Cneq%200)
<em><u>Discriminant is given by:</u></em>
![D = b^2-4ac](https://tex.z-dn.net/?f=D%20%3D%20b%5E2-4ac)
On comparing the given quadratic equation
with general quadratic equation ![ax^2+bx+c = 0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%20%3D%200)
a = 4
b = 6
c = -5
<em><u>Substituting in above formula,</u></em>
![D = 6^2-4(4)(-5)\\\\D = 36-16(-5)\\\\D = 36+80\\\\D = 116](https://tex.z-dn.net/?f=D%20%3D%206%5E2-4%284%29%28-5%29%5C%5C%5C%5CD%20%3D%2036-16%28-5%29%5C%5C%5C%5CD%20%3D%2036%2B80%5C%5C%5C%5CD%20%3D%20116)
Thus discriminant of given equation is 116
It would depend on if the triangle was regular or irregular.So no if the triangle has different angles.If that is so then...
False.
Answer:
<em>The</em><em> </em><em>required</em><em> </em><em>equation</em><em> </em><em>is</em><em> </em><em>5x-y-51</em><em> </em><em>=</em><em> </em><em>0</em>
Step-by-step explanation:
![the \: given \: equation \: is \\ y = 5x + 1 \\ 5x - y + 1 = 0 \\ the \: equation \: of \: the \: line \: \\ parallel \: to \: 5x - y + 1 = 0 \: \: is \\ 5x - y + k = 0 \\ since \: it \: passes \: through \: (10, - 1) \\ 5(10) - ( - 1) + k = 0 \\ 50 + 1 + k = 0 \\k = - 51 \\ the \: equation \: of \: the \: line \: parallel \: t o\: \\ 5x - y + 1 = 0 \: \: \: is \\ \: 5x - y - 51 = 0](https://tex.z-dn.net/?f=the%20%5C%3A%20given%20%5C%3A%20equation%20%5C%3A%20is%20%5C%5C%20y%20%3D%205x%20%2B%201%20%5C%5C%205x%20-%20y%20%2B%201%20%3D%200%20%5C%5C%20the%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20line%20%5C%3A%20%5C%5C%20%20parallel%20%5C%3A%20to%20%5C%3A%205x%20-%20y%20%2B%201%20%3D%200%20%5C%3A%20%20%5C%3A%20is%20%5C%5C%205x%20-%20y%20%2B%20k%20%3D%200%20%5C%5C%20since%20%5C%3A%20it%20%5C%3A%20passes%20%5C%3A%20through%20%5C%3A%20%2810%2C%20-%201%29%20%5C%5C%205%2810%29%20-%20%28%20-%201%29%20%2B%20k%20%3D%200%20%5C%5C%2050%20%2B%201%20%2B%20k%20%3D%200%20%5C%5Ck%20%20%3D%20%20-%2051%20%5C%5C%20the%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20line%20%5C%3A%20parallel%20%5C%3A%20t%20o%5C%3A%20%20%5C%5C%205x%20-%20y%20%2B%201%20%3D%200%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20is%20%20%5C%5C%20%5C%3A%205x%20-%20y%20-%2051%20%3D%200)
<em>HAVE A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>
14500/(1-0.11*150/360)=15196.51