Answer: y is 23 and x is 139 so x + y = 162
Step-by-step explanation:
(23-x)+(2x+18)=180
41+x=180
x=180-41
x=139
Let <span>the town courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula

to get the <span>distance between lawyer's home and office:
</span><span>
</span><span />


.
Answer: 25 miles.
Answer: y=-6
Step-by-step explanation:
First convert the equation -2y= 8 into y intercept form by divide both sides by -2.
-2y = 8
y= -4 Now that the line is in y intercept form we can now determine the slope.The slope is 0 so -4 in this case is the y intercept.
Remember lines that a parallel needs to have the same slope but different y-intercepts.
So if the slope of the line y=-4 is 0 then the slope of line that passes through the point (2,-6)
So using the y intercept form formula which says that y=mx+b where m is the slope and b is the y-intercept, we could plot in the values for y and x and solve for b to write the equation.
y is -6 and x is 2
-6 = 0(2) + b
-6 = 0 + b
b= -6
In this case the y intercept is -6 so since the slope is zero we will have the equation y = -6
Answer:
x ≥ - 1
Step-by-step explanation: