Answer:
Step-by-step explanation:
<u>Given sides of a rectangle</u>
- Length: l =4 − 7(3x + 4y)
- Width: w = 3x(−2y)
<u>Perimeter of rectangle</u>
<u>Using the given values</u>
- P = 2( 4- 7(3x + 4y) + 3x(-2y)) =
- 2( 4 - 21x - 28y - 6xy) =
- 8 - 42x - 56y - 12xy
7 because if u add 4 and 3 that's what u end up with
Answer:
Devante is 23 and Savannah is 32.
Step-by-step explanation:
We can set up a system of equations.
s - savannah's age
d - devante's age
s = d + 9
s + d = 53
Now we can substitute (d + 9) for s in the second equation.
(d + 9) + d = 53
2d + 9 = 53
2d = 46
<u>d = 23</u>
To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)
23 + 9 = 32
<u>s = 32</u>
Answer:
(-2,4)
Step-by-step explanation:
The solution is the point at which the two lines intersect, (-2,4). That point is the only one that satisfies (works) in both equations:
y = x + 6
4 = -2 + 6
and
y = -0.5x + 3
4 = -0.5(-2) + 3
4 = 1 + 3
====
You can also solve it algebraically:
y = x + 6
y = -0.5x + 3
-0.5x + 3 = x + 6 [Use the value of y from the second equation in the first equation]
-1.5x = 3
x = -2
Use this is y = -2 + 6:
y = 4
(-2,4)
