Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
Answer:
-6
(I don’t understand what you mean by on & 5 but..)
Step-by-step explanation:
The two negatives (the -(- ) cancel each other out and make a postive, so
-18 + 12 = -6
Answer:
Step-by-step explanation:
Given
per mile
Solving (a): Linear Equation
The total charges (c(x)) is: the base charge + the rate * number of miles (x).
So, we have:
Solving (b): Cost of rent, if miles = 160
This implies that x = 160
So, we have:
Answer:
They made a $531 commission.
Step-by-step explanation:
The given is:
- The price of each TV is $885
- The commission is 18% on every TV sold
- The salesperson sold 4 TV's
We need the value of the commission
Let us find the commission of every TV, then find the total amount of all
∵ The price of each TV is $885
∵ The commission is 18 %
→ Find 18% of $885
∴ The commission on every TV = 885 × 15%
∴ The commission on every TV = 885 × 15/100
∴ The commission on every TV = $132.75
∵ The salesperson sold 4 TV
∴ The commission on them = 4 × 132.75
∴ The commission on them = $531
They made a $531 commission.
Answer and workings in the attachment below.
