(5, -1)(10, 2) are solutions to this equation
Answer:
£4400
Step-by-step explanation:
5% of 4000 is 200
200*2=400
4000+400=4400
£4400
Answer:
(a)
dependent
(b)
x = -3t - 12
y = -5t - 16
z = t
Step-by-step explanation:
2x - 3y - 9z = 24 Eq. 1
x + 3z = -12 Eq. 2
-3x + y - 4z = 20 Eq. 3
2x - 3y - 9z = 24
(+) -9x + 3y - 12x = 60 3 * Eq. 3
--------------------------------
-7x -21z = 84 Eq. 4
7x + 21z = -84 7 * Eq. 2
(+) -7x - 21z = 84 Eq. 4
-----------------------------
0 = 0
(a) The system is dependent.
(b)
z = t
x + 3z = -12 Eq. 2
x + 3t = -12
x = -3t - 12
2x - 3y - 9z = 24 Eq. 1
2(-3t - 12) - 3y - 9t = 24
-6t - 24 - 3y - 9t = 24
-3y - 15t = 48
-y - 5t = 16
-y = 5t + 16
y = -5t - 16
x = -3t - 12
y = -5t - 16
z = t
Answer:
Step-by-step explanation:
The area of a rectangle is A = lw. If the area is 64, we sub it in to get 64 = lw.
If we want to express the perimeter in terms of w using that area expression, we solve the area for l:
The formula for the perimeter of a rectangle is
P = 2l + 2w
If we are to express it in terms of w, sub in the l value from the area:
which simplifies to
Because this is width and width is a distance measure, it can't ever be negative or 0, so the domain for w is w > 0.
Thank you so much dude!! i needed it!!