Answer:
The system of equations 8x-3y=10 and 16x-6y=22 has no solution
Step-by-step explanation:
When both of the above equations are put into standard form, you get ...
8x - 3y = 10
8x - 3y = 11
This is an "inconsistent" pair of equations. There are no values of x and y that can satisfy both equations, hence there is no solution.
Answer:
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
The general equation for a line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).
To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".
g(x) = mx + b <----- General equation
g(x) = (-1/25)x + b <----- Plug (-1/25) in "m"
8 = (-1/25)(3) + b <----- Plug in "x" and "y" from point
8 = (-3/25) + b <----- Multiply (1/25) and 3
200/25 = (-3/25) + b <----- Covert 8 to a fraction
203/25 = b <----- Add (3/25) to both sides
Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).
g(x) = (-1/25)x + (203/25)
Answer:
113
Step-by-step explanation:
supplementray means 180-67=113
Answer:
C = 14π cm
Step-by-step explanation:
C = πd
or
C = 2πr
Simply use the 1st equation and plug in the diameter to find you answer.
