Answer:
A = 100 
Step-by-step explanation:
You have to use the area of a trapezoid formula:
A = 
(a + b)
Now, substitute the values of the height and the bases:
A = 
(10 + 15)
Finally, simplify the equation to solve for the area:
A = 4(25)
A = 100
Answer:
a) y = 6x - 3
b) 1/3y = 2x -1
The first thing you need to do is isolate (y) in the second equation
3 x (1/3y) = 3 x (2x - 1)
y =6x - 3
After isolating (y) in equation b they end up being the same.
Graphing:
In order to graph this, you have to make the first point at (0, -3) since this is the Y-intercept of the equation.
In order to graph the other points, you must move 6 units up and 1 unit to the right. Or vise versa If you need a visual I'll gladly link one.
Answer:
1. 8,400
2. 3,600
3. 1,500
Step-by-step explanation:
multiply the weeks by the number of cars first, and then times it by the amount of money per car
(weeks×cars per week) money per car
Answer:
Assuming the problem asks to rotate counterclockwise: E' (0,0) F' (0,5) G' (-4,5) H' (-4,0)
If it says rotate clockwise then your points will be: E' (0,0) F' (0,-5) G' (4,-5) H' (4,0)
Step-by-step explanation:
Translate the points first by subtracting 3 from the x-coordinates of each, then subtracting 3 from the y-coordinates of each. Next, to rotate them counterclockwise about the origin 90 degrees, switch the x and y coordinates and the sign of the resulting x-coordinate. To rotate clockwise 90 degrees switch the x and y still but change the sign of the resulting y coordinate.
You’re given that m=7 (slope is 7), so setup the slope-intercept form with that info: y = 7x + b.
Now you need to find b. Plug in (3,11) for x and y, x=3 and y=11.
11 = 7*3 + b
Notice the only variable left is b, so you’ll find b this way.
11 = 21 + b and then subtract 21 from both sides:
11 - 21 = b
-10 = b
Plug that back into the equation and you have y = 7x -10
