Answer:
length = 12
width = 9
Step-by-step explanation:
We can use a system of linear equations to solve this problem. Lets make the variable L represent length and W represent width.
So we know that the length is 3 more than the width. An equation for this would be:
W = L - 3
We also know that the perimeter is 42 inches. The perimeter of a rectangle, using the variables L and W, is 2L + 2W, or 2(L + W). Using this, we can make the equation:
2(L + W) = 42
We can simplify the last equation by dividing both sides by 2:
L + W = 21
So now we have the two equations:
W = L - 3
L + W = 21
From here, there are multiple ways this question can be solved. I am going to use the substitution method here.
Knowing that W = L - 3, we can replace W in the second equation with L - 3.
L + L - 3 = 21
Add 3 to both sides.
2L = 24
Divide both sides by 2.
L = 12
Now we know that L = 12. Using this, we can replace L with 12 in the first equation to solve for W.
W = 12 - 3
W = 9
So:
L = length = 12
W = width = 9
I hope you find my answer helpful.
Sub in values for x,y,z into plane equation.
(1+t) + 2t - (-3t) = 1
Solve for 't'
6t + 1 = 1
t = 0
Sub back in t=0 into line to find point.
x = 1+0 = 1
y = 2(0) = 0
z = -3(0) = 0
Answer : The point is (1,0,0)
Answer:
k = 5
Step-by-step explanation:
k/2+1/2=3
Multiply each side by 2 to get rid of fractions
2(k/2+1/2)=3*2
k+1 = 6
Subtract 1 from each side to isolate k
k+1-1 = 6-1
k = 5
Answer:
$18515.24
Step-by-step explanation:
27000 x .91
24570
24570 x .91
22358.7
22358.7 x .91
20346.417
20346.417 x .91
18515.23947 =
$18515.24
