Answer:
x = -5 and y = 8
Step-by-step explanation:
To solve the system by substitution, solve one equation for a variable. Then substitute the equation into the other equation.
x + 2y = 11 becomes x = 11 - 2y
Substitute x = 11 -2y into 4x + 4y = 12.
4(11-2y) + 4y = 12
44 - 8y + 4y = 12
44 - 4y = 12
32 = 4y
y = 8
Substitute again with y = 8 into the equation to find x.
x = 11 - 2(8)
x = 11 - 16
x = -5
Answer: y = x/3 + 4
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line.
c represents the y intercept.
The equation of the given line is
y = - 3x + 7
Comparing with the slope intercept form, slope = - 3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line passing through (3, 5) is 1/3
To determine the y intercept, we would substitute m = 1/3, x = 3 and y = 5 into y = mx + c. It becomes
5 = 1/3 × 3 + c
5 = 1 + c
c = 5 - 1 = 4
The equation becomes
y = x/3 + 4
Answer:
2/5
Step-by-step explanation:
For the denominator you are looking for the total number of options, and in this case it is 10. Then for the numerator you are looking for what the question is asking for, in this case, it is looking for letters n to q. n, o, p and q are what you are looking for. With this information you will get 4/10 and simplified, 2/5
Answer:
the point 6,5 is the maximum Value of c out of the other points