5(x - 3) + 6 = 5x - 9 has no solution
<em><u>Solution:</u></em>
We have to find the number of solutions for the given equation
Given equation is:
5(x - 3) + 6 = 5x - 9
Multiply the terms inside with bracket with constant outside the bracket
5x - 15 + 6 = 5x - 9
Add the constants in left hand side of equation
5x - 9 = 5x - 9
If the coefficients are the same on both sides, then the sides will not equal, therefore no solutions will occur.
Here, 5x - 9 = 5x - 9
The coefficients are same in both sides of equation
Therefore, the equation has no solution
Answer:
Distance: 12.04159458 or 12.0
Midpoint: (2.5, 1)
Step-by-step explanation:
I used the Distance and the Midpoint Formulas.
Answer:
no it is not
Step-by-step explanation:
it would be 54
Answer:
1) The correct option is C. (2) The correct option is D. (3) The correct option is B. (4) The correct option is D. (5) The correct option is D.
Step-by-step explanation:
The slope formula is

(1)
Two points are (-2,5) and (1,4).
![m=\frac{4-5}{1-(-2)}=\frac{-1}{3}tex]Therefore option C is correct.(2)Use the above mentioned formula for each pair of coordinates.[tex]m=\frac{10-13}{17-12}=\frac{-3}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-5%7D%7B1-%28-2%29%7D%3D%5Cfrac%7B-1%7D%7B3%7Dtex%5D%3C%2Fp%3E%3Cp%3ETherefore%20option%20C%20is%20correct.%3C%2Fp%3E%3Cp%3E%282%29%3C%2Fp%3E%3Cp%3EUse%20the%20above%20mentioned%20formula%20for%20each%20pair%20of%20coordinates.%3C%2Fp%3E%3Cp%3E%5Btex%5Dm%3D%5Cfrac%7B10-13%7D%7B17-12%7D%3D%5Cfrac%7B-3%7D%7B5%7D)



Therefore option D is correct.
(3)
The pair of points (6, y) and (10, -1). The slope is
.




Therefore option B is correct.
(4)
For vertical line the x coordinates always remains the same. Therefore when we subtract the same number we get zero in the denominator, therefore the value of slope is undefined for a vertical line.
Therefore option D is correct.
(5)
Two points from the table are (2,110) and (3,165).

Therefore option D is correct.