Answer:
Step-by-step explanation:
step 1 simplified like terms -11k +3k =8k
step 2 incorrect should be -4k -20 on the left side distributive property
step 3 added 8k to each side
step 4 added 20 to each side
step 5 divided each side by 4
So we can call the width of the rectangle x.
So then the length would be 4x.
The perimeter would then be 10x.
Since the perimeter is 70, we can say 70 = 10x.
And then simplify that to 7 = x.
So the length of a rectangle would be 28 cm, and the width would be 7.
So to find the area, just multiply length by width.
28*7 = 196 square cm
So the rectangle's area is 196 square cm.
I hope I helped!
Almost positive this answer is the amount of hours she would work. because if she worked more hours her outcome would be a larger paycheck and if she worked less hours her paycheck would be smaller.
Answer:
Possible committee structures = 293930
Step-by-step explanation:
The combination expression is used here
²¹C₉ = 21!/(9!(21−9)!) = 293930
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3
