By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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Answer:
a. 1 1/2 (or 3/2)
b. 2/3
c. 1
d. 1
Step-by-step explanation:
Part A: (1,1) (7,5)
To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).
Let's plug in the numbers for part a:
m=(7-1)/(5-1)
Let's then solve the problems inside the parentheses:
m=6/4
And finally, we simplify:
m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)
For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.
Part B: (1,1) (5,7)
m=(5-1)/(7-1)
m=(4/6)
m=2/3
Part C: (2,5) (-1,2)
m=(-1-2)/(2-5)
m=(-3/-3)
m=1
Part D: (2,5) (-7,-4)
m=(-7-2)/(-4-5)
m=(-9/-9)
m=1
Answer:
10 feet
Step-by-step explanation:
justdo it you will win
Answer: Third Choice. x= 6 1/3
Step-by-step explanation:
Given
f(x) = 9x² - 54x - 19
Completing the square
3x -19
3x 1
Substitute back to the function
f(x) = (3x-19) (3x+1)
Simplify
x= 6 1/3 or -1/3
Hope this helps!! :)
Please let me know if you have any questions
