For this case we must find a linear equation of the form:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where,
m: slope of the line
b: cutting point with vertical axis.
For the slope we have the following equation:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D)
Substituting values we have:
![m = \frac {6-5} {1-1}\\m = \frac {1} {0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7B6-5%7D%20%7B1-1%7D%5C%5Cm%20%3D%20%5Cfrac%20%7B1%7D%20%7B0%7D)
We observe that the slope of the line is not defined.
Therefore, the line is vertical.
Thus, the equation of the line is given by:
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
Answer:
The equation of the line is given by:
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
Answer:
option A and B
![x=\frac{-7+\sqrt{17}} {4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-7%2B%5Csqrt%7B17%7D%7D%20%7B4%7D)
and
![x=\frac{-7-\sqrt{17}} {4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-7-%5Csqrt%7B17%7D%7D%20%7B4%7D)
Step-by-step explanation:
we have
![2x^2+7x+4=0](https://tex.z-dn.net/?f=2x%5E2%2B7x%2B4%3D0)
The formula to solve a quadratic equation of the form
is equal to
![x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%20%7B2a%7D)
in this problem we have
![2x^2+7x+4=0](https://tex.z-dn.net/?f=2x%5E2%2B7x%2B4%3D0)
so
![a=2\\b=7\\c=4](https://tex.z-dn.net/?f=a%3D2%5C%5Cb%3D7%5C%5Cc%3D4)
substitute in the formula
![x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-7%5Cpm%5Csqrt%7B7%5E%7B2%7D-4%282%29%284%29%7D%7D%20%7B2%282%29%7D)
![x=\frac{-7\pm\sqrt{17}} {4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-7%5Cpm%5Csqrt%7B17%7D%7D%20%7B4%7D)
so
![x=\frac{-7+\sqrt{17}} {4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-7%2B%5Csqrt%7B17%7D%7D%20%7B4%7D)
and
![x=\frac{-7-\sqrt{17}} {4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-7-%5Csqrt%7B17%7D%7D%20%7B4%7D)
The answer is 22.8
Cos 64 = adj./hypotenuse
Cos64=10/x
X(cos64)=10
X= 10/cos64
= 22.8
Answer:
hey here's your answer!☺️
since number = n
so, 5 times of number = 5×n = 5n
and , 30 more than 8 times the number = 8n + 30
so, According to the question,
equation formed :-
" 5n = 8n + 30 "
hope it is helpful ✌️!
Answer:
-62.8 is the answer .......................