Answer:
The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0
Step-by-step explanation:
Given equation of line as
x + 5 y = 30
Now, equation of line in standard form is y = m x + c
where m is the slope
So, x + 5 y = 30
Or, 5 y = - x + 30
Or, y = -
x + 6
So, Slope of this line m = - ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Again , let the slope of other line passing through point (1 , 0) is M
And Both lines are perpendicular , So , products of line = - 1
i.e m × M = - 1
Or, M = -
Or, M = - 1 × -
= ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
So, equation of line with slope M and points (1, 0) is
y -
= M × (x -
)
Or, y - ( 0 ) =
× ( x - 1 )
Or, y =
x -
× 1
Or, y =
x - ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
or, y +
=
x
Or, 5×y + 1 = x
∴ 5 y + 1 = x
I.e x - 5 y - 1 = 0
Hence The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0 Answer
Answer:
A. 8.
Step-by-step explanation:
The marginal product is the increase in output (units produced) resulting from employing one more worker. Therefore, the marginal product of the second worker (M2) is given by the difference between the total product with two workers and the total product with one worker.
![M_2 =32-24\\M_2 =8](https://tex.z-dn.net/?f=M_2%20%3D32-24%5C%5CM_2%20%3D8)
The answer is A. 8.
The coordinates of P are (9, -2).
Algebraically speaking, a translation is defined by the following expression:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that
and
, then the coordinates of the original point is:
![P(x,y) = P'(x,y) - T(x,y)](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20P%27%28x%2Cy%29%20-%20T%28x%2Cy%29)
![P(x,y) = (1,-2)-(-8,0)](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%281%2C-2%29-%28-8%2C0%29)
![P(x,y) = (9,-2)](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%289%2C-2%29)
The coordinates of P are (9, -2).
We kindly invite to see this question on translations: brainly.com/question/17485121
√(18.5)
=√(37/2)
=(√37)/(√2)
=(√37√2)/2