Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Step-by-step explanation:
you should only make one equation:
75 + 45x = 30 + 55x
subtract the 30 frim both sides, then subtract 45x from both sides. you are left with:
45 = 10x
Divide by 10 and get:
4.5 = x
After 4.5 hours, the cost is equal for either worker.
144 is a square of 12
Hope this helps!
From the circle geometry theorem, a tangent to a circle makes 90° angles with the radius of the circle.
RQ is perpendicular to QP
Triangle RQP is a right-angled triangle
by Pythagoras theorem
units (rounded to one decimal place)
90,000 since you are rounding the whole number to ten thousand 90,000 is more closer than 80000. you have to round to the number it's asking so the rest of your answer after ten thousand should be left zero. therefore making the answer 90,000.
